Question In steady flow, which one of the following changes with time A Velocity B Pressure C Density D None of these. Answer D Question 'Flow net' analysis cannot be applied to A Region close to boundary where viscosity effects are predominant B Sharp turns C When flow is Turbulent D Rotational flow Answer A Question Pick up the correct statement from the following : A B C D Answer In incompressible flow the density of a fluid remains constant In compressible flow, the density of a fluid changes from point to point In uniform flow, the velocity of a fluid does not change with respect to length of flow direction All of the above D Question The line traced by a single fluid particle as it moves over a period of time is called __________ line. A B C D Answer Stream Path Equipotential None of these B Question A stream tube is that, which has __________ cross-section entirely bounded by stream lines. A A circular B Any convenient C A small D A large Answer B Question Equation of continuity for 1-D flow is applicable when, A Flow is steady B Flow is one dimensional C Velocity is not uniform over the cross-sections D All the above. Answer D Question The imaginary line drawn such that the tangents at its all points indicate the direction of the velocity of the fluid particles at each point, is called A B C D Answer Path line Stream line Potential line Streak line. B Question One dimensional flow implies A B C Steady uniform flow. Unsteady uniform flow. A flow which does not account for changes in transverse direction. D None of above Answer C Question The flow is called rotational if its velocity normal to the plane of area is equal to A Angular velocity vector B Twice the angular velocity vector C Thrice the angular velocity vector D . None of these. Answer B Question The continuity equation in fluid mechanics utilizes the principle of conservation of A Momentum B Mass C Energy D Both (b) &(c) Answer B Question Streamline is a line in flow field, A That is traced by all the fluid particles passing through a given point. B Along which a fluid particle travels. C Such that at every point on it, the velocity is tangential to it. None of these. D Answer C Question Potential function is applicable only for __________ flow. A Irrotational B Turbulent C Steady D None of these Answer A Question The property of steam function ψ is A B constant everywhere on any stream line The rate of change of ψ with distance in an arbitrary direction, is proportional to the component of velocity normal to that direction C The velocity vector may be found by differentiating the stream function D All the above. Answer D Question A three dimensional flow is one in which A The flow region has a width ,depth and length B The velocity vector is inclined such that it can be resolved into three mutually perpendicular directions C The fluid moves in straight paths parallel to the main direction of flow D The velocity distribution over parallel planes is identical throughout the flow region Answer B Question A stream tube is one A which is bounded by a closed surface containing the streamlines B which has constant area throughout its length so that the velocity remains constant C in which the flow cannot cross the bounding surface D Both A and C Answer D Question Normal acceleration in fluid flow situations exists only when A the streamlines are straight and parallel B the flow is two dimensional C the streamlines are curved D the flow is unsteady Answer C Question Irrational flow is characterized as the one in which A the fluid flows along a straight path B C D Answer the fluid does not rotate as it moves along the net rotation of fluid particles about their mass centres remains zero the streamlines of flow are curved and closely spaced C Question The existence of velocity potential in fluid flow indicates that A the flow must be Irrotational B the flow is rotational and satisfies the continuity equation C the vorticity must be zero D All of above Answer C Question The concept of stream function which is based on the principle of continuity and is applicable to A B C D Answer three-dimensional flow Two-dimensional flow only Uniform flow cases only For all types of flow B Question Streamlines in fluid flow are A Equipotential lines along which the velocity potential Φ= constant B C Lines along which the stream function Ψ = constant Lines along which the vorticity is zero D None of above Answer B Question A flow net is a graphical representation of streamlines and equipotential lines such that A These lines indicate the direction and magnitude of velocity vector B These lines intersect each other orthogonally forming curvilinear squares C These lines intersect each other at various different angles forming irregular shaped nets D The velocity potential Φ increases in the direction of flow Answer B Question Streamline, pathline and streakline are identical when A The flow is uniform B The flow is steady C The flow is unsteady D The flow is neither steady nor uniform Answer B Question The mass acceleration is zero for a A B C D Answer steady flow steady and uniform flow unsteady and uniform flow unsteady and non-uniform flow B Question A B C D Answer A control volume implies an isolated system a closed system a specific mass in a fluid flow a fixed region in space D Question If an incompressible liquid is continuously flowing through a pipe, the quantity of liquid passing per second is different at different sections. A True B False C Depends on pipe size D Can't say Answer B Question In a steady flow of a fluid , the total acceleration of any fluid particle A B C D Answer can be zero is never zero is always zero is independent of coordinates A Question For an Irrotational flow, the equation A B C D Answer is given by... Cauchy-Riemann Reynold Laplace Bernoulli. C Question If u, v, w are the components of the velocity v of a moving particle, the equation represents… A one dimensional flow B two dimensional flow C three dimensional flow D none of these. Answer C Question The flow net shown in figure is drawn for A B C D Retarding flow through converging boundaries Accelerating flow through Diverging boundaries Accelerating flow through converging boundaries Retarding flow through diverging boundaries Answer D Question The relation ∂2Φ/∂x2+∂2Φ/∂y2=0 for an irrotational flow is referred to as A Euler's equation B Laplace equation C Reynolds equation D Cauchy-Reimann's equation. Answer B Question Select the correct statement about equipotential line A has a constant dynamic pressure B C D Answer connects the mid points of a flow cross section exists in case of rotational flows lies orthogonal to streamlines for the flow pattern D Question The pipe cross section and fluid flow rate are shown in figure. The velocity in pipe A, is A B C D Answer 1.5m/s 3.0 m/s 15 m/s 30 m/s A Question For the straight converging streamlines shown the type of acceleration applicable A B C D Answer No acceleration Convective tangential acceleration Local acceleration only Both local and convective acceleration B Question If a stream function exists for a flow field and it satisfies the Laplace equation, then A flow is rotational B continuity equation is satisfied and the flow is Irrotational C Flow is Irrotational but does not necessarily represent a possible flow field D the function represents a possible flow field but does not necessarily satisfy condition for irrotational motion. Answer B Question Which is not true in the context of velocity potential function? A is defined as the integral of the tangential velocity component along a closed contour B exists for irrotational motion of fluids whether compressible or incompressible C satisfies the Laplace equation D lines of constant velocity potential Answer A Question During motion, a fluid element is stated to undergo a change in angle between adjacent sides when it moves from one position to another. The type of motion is called A linear deformation B angular deformation C rotation D Circulatory motion. Answer B Question ... used to describe the motion of fluid. A Eulerian method B Langrangian method C both (a) and (b) D none of these. Answer C Question ... is branch of fluid mechanics which deals with the study of velocity and acceleration of the particles of fluid in motion and their distribution in space without considering any force or energy. A Fluid Dynamics B Fluid Kinematics C Fluid Statics D none of these. Answer B Question An observer sitting on the bank of a river and studying the movement of fluid particle or floating body is a example of … A B C D Answer Eulerian method Langrangian method both (a) and (b) none of these. A Question An observer sitting in moving boat and studying the flow is a example of … A Eulerian method B Langrangian method C both (a) and (b) D none of these. Answer B Question The shortcomings of the Langrangian method to describe the motion of fluid are… A Cumbersome and Complex B Equation of motion are very difficult to solve C The motion of fluid is hard to understand D All of the above. Answer D Question A B C D Answer O out of the following which method is used exclusively in fluid mechanics to describe the motion of fluid, especially because of its mathematical simplicity? both (b) and (c) Langrangian method Eulerian method none of these. C Question The acceleration of fluid particle consists of ….. A both (b) and (c) B connective acceleration C local acceleration D none of these. Answer A Question …..is scalar function of space and time such that its negative derivative w.r.t. any direction gives the fluid velocity in that direction. A Φ B Ψ C both (a) and (b) D none of the above. Answer A Question Any function Φ satisfies the … equation is a possible irrotational flow (potential flow) case since the continuity is satisfied. A Euler’s B Bernoulli’s C Newton’s D Laplace. Answer D Question Which of the following equation represents the possible case of an irrotational flow? A B C D Answer both (a) and (b). A Question The mathematical expression shows that...(u/v)(-v/u)=-1 A stream lines and equipotential lines do not meet orthogonally B stream lines and equipotential lines meet orthogonally C both (a) and (b) D None of the above. Answer B Question Which one of the following velocity fields represents a possible fluid flow? A u=x, v=y B u=x2 , v = y2 C u= xy , v = x2y2 D u=x , v= -y Answer D Question Two flow patterns are represented by their stream functions Ψ1 and Ψ2as 1 = x2+y2and Ψ2= 2xy. If these two patterns are superposed on one another , the resulting streamline pattern can be represented by one of the following A A family of parallel streamlines B A family of circles C A family of parabolas D A family of hyperbolas Answer D Question In a compressible flow, the area of flow, the velocity of flow and the mass density are denoted by a,v and m respectively. At a particular section, the differential form of the continuity equation is A da/a = dv/v +dm/m B da/a = dv/v -dm/m C da/a =- dv/v +dm/m D da/a =- dv/v -dm/m Answer D Question Consider the following parameters related to fluid flow 1 Vorticity 2 Velocity potential 3 Stream function Among these , those which exist both in rotational flows and Irrotational flows would include A 1 and 2 B 2 and 3 C 1 and 3 D 1,2 and 3 Answer C Question An inert tracer is injected continuously from a point in an unsteady flow field. The locus of locations of all the tracer particles at an instance of time represents A streamline B Path line C stream tube D streak line Answer D Question The rate of rotation of a fluid particle is given A ωy = 0 , ωz = - y/2h B ωy = 0 , ωz = y/2h C ωy = y/h , ωz = y/h D none of these Answer A Question Which of the following conditions will be satisfied by steady Irrotational flow? 1 ∂u/∂y+∂v/∂x =0 2 - ∂u/∂y+∂v/∂x =0 3 ∂u/∂x+∂v/∂y =0 select the correct answer using the codes given below codes A B C D Answer 1 and 2 2 and 3 1 and 3 1,2 and 3 B Question The relation that must hold for the flow to be Irrotational A ∂u/∂ y –∂ v /∂ x = 0 B ∂ u/∂ x –∂ v /∂ y = 0 C ∂2u/∂ x2+∂2v /∂y2=0 D ∂u/∂ y +∂v /∂ x = 0 Answer A Question The following stream function ψ = x3/3 –x2–xy2+y2 will represent /satisfy A rotational flow and Laplace equation B Irrotational flow and Laplace equation C Irrotational flow and equation of continuity D Answer Irrotational flow ,Laplace equation and equation of continuity D Question Consider the following statements 1.In Lagrangian method of describing the motion of fluid , an observer concentrates on a point in the fluid system . 2. The components of acceleration of the fluid particle are v ∂v/∂s and ∂v/∂s 3. A particle moving in a curved path will always have a normal acceleration v2/r towards the centre of the curved path. Which of these statements are A 1,2 and 3 B 1 and 2 C 1 and 3 D 2 and 3 Answer D Question Acceleration in the normal direction to a stream line is represented by (symbols have usual meanings) A ∂Vn/∂t + Vs2/r B ∂Vs/∂t + Vn2/r C ∂Vn/∂t + ∂Vs /∂t D ∂Vs/∂t + ∂Vs /∂ t Answer A Question A two dimensional flow is described by velocity components u= 2x and v =-2y . The discharge between points (1,1) and (2,2 ) is equal to A 9 units B 8 units C 7 units D 6 units Answer A Question The flow through an irrigation canal is an example of …. A Steady flow B Unsteady flow C Uniform flow D Non-uniform. Answer A Question The flow around a uniform diameter pipe-bend or canal bend is an example of …. A Steady flow B Unsteady flow C Uniform flow D Non-uniform. Answer D Question The flow in pipe where average flow parameters are considered for analysis” is an example of …. A One dimensional flow B Three dimensional flow C Both (a) and (b) D Two dimensional flow. Answer A Question The flow between parallel plates of infinite extent is an example of …. A B C D Answer One dimensional flow Three dimensional flow Both (a) and (b) Two dimensional flow. D Question …. A B C D Answer Ground water flow is an example of Two dimensional flow Uniform flow Rotational flow Laminar flow. D Question Flow in natural streams, artificial channel, water supply pipes, sewers are the example of… A Turbulent flow B Uniform flow C Rotational flow D Laminar flow. Answer A Question In experimental work often a colour or dye or some other substance (such as smoke in case of gases) is injected into the flowing fluid, in order to trace the motion of the fluid particles. The resulting trail of colour is known as a … A Stream line B Stream tube C Path line D Streak line. Answer D Question To study the basic principles of fluid flow; a definite volume with fixed boundary shape is chosen in space along the fluid flow passage, this volume is known as…. A Stream volume B Control volume C Proper volume D Streak volume. Answer B Question If the fluid particles move in straight lines and all the line are parallel to the surface, the flow is called A B C D Answer steady uniform compressible laminar D Question If the velocity in a fluid flow changes with respect to length along the direction of flow, it is called A unsteady flow B compressible flow C Irrotational flow D none of the above Answer D Question Irrotational flow means A fluid does not rotate while moving. B C D Answer fluid moves in straight lines. net rotation of fluid particles about their mass centers is zero. none of the above. C Question If the Reynolds number of the flow is less than 2000, the flow is said to be A B C D Answer Laminar flow Transit Turbulent flow none of these A Question The acceleration of a fluid particle in the direction of x is given by _ A ax=u ∂u/∂x+ v∂v/∂y + w∂w/∂z+∂u/∂t B ax=u ∂u/∂x+ v∂u/∂y + w∂u/∂z+∂u/∂t C ax=u ∂u/∂x+ u∂u/∂y + u∂u/∂z+∂u/∂t D None of the above Answer B Question The convective acceleration of fluid in the x-direction is given by A u ∂u/∂x+ v∂u/∂y + w∂u/∂z B u ∂u/∂x+ v∂v/∂y + w∂w/∂z C u ∂u/∂x+ u∂v/∂y + w∂w/∂z D ∂u/∂t+ ∂v/∂t + ∂w/∂t Answer D Question ΔΨbetween two stream lines represents A head B pressure C velocity D discharge Answer D Question Stream lines and equipotential lines _ A form meshes of any geometrical shapes B are orthogonal wherever they meet C D Answer can be determined mathematically for all boundary conditions can be drawn graphically for viscous flow around any boundary B Question If Ψ= x2- y2is the stream function in a 2D flow field, the magnitude of resultant at point (2, 3) is, A √52 unit B √15 unit C √5 unit D √125 unit Answer A Question A grid obtained by drawing a series of streamlines Ψ and equipotential lines Φ is known as A Stream line B Path line C Streak line D Flow net Answer D Question For a Irrotational flow, the velocity potential lines and the streamlines are always A coplanar B Inclinedto the horizontal. C parallel to each other D orthogonal to each other Answer A Question Stream lines and path lines always coincide in case of A laminar flow B uniform flow C turbulent flow D steady flow Answer D Question Consider the flowing statements. For a two-dimensional potential flow 1. Laplace equation for stream function must be satisfied 2. Laplace equation for potential function must be satisfied 3. Streamlines and equipotential lines are perpendicular 4. Stream function and potential function and not interchangeable. Which of these statements are correct ? A B C D Answer 1 and 4 2 and 4 1, 2 and 3 2, 3 and 4. C Question For a two-dimensional fluid element in x-y plane, the rotational component is given as _ A ωz=1/2(∂v/∂x-∂u/∂y) B ωz=1/2(∂u/∂x-∂v/∂y) C ωz=1/2(∂u/∂x+∂v/∂y) D ωz=1/2(∂v/∂x+∂u/∂y) Answer A Question The flow of blood in small veins is an example of A Laminar flow B Turbulent flow C Transitional D none of these Answer A Question A flow whose streamline is represented by a curve, is called _ A B C D Answer two-dimensional flow one dimensional flow three dimensional flow four dimensional flow A Question The existence of velocity potential in fluid flow indicates that the A circulation around any closed curve must have a finite value B flow is rotational and satisfies the continuity equation C Vorticity must be non-zero. D flow must be Irrotational Answer D Question The local acceleration in the direction of x is given by A ∂u/∂t B u (∂u/∂x) C u (∂u/∂x+∂u/∂t) D None of the above Answer A Question The rate of increase of velocity with respect to changes in the position of fluid particle in a flow field is called _ A B C D Answer convective acceleration local acceleration material acceleration none of these A Question The general form of expression for the continuity equation in a Cartesian coordinate system for incompressible or compressible 3-D flow is given by _ A ∂ρ/∂t+ ∂/∂x(ρu)+∂/∂y (ρv )+∂/∂z(ρw) =0 B ∂ρ/∂t+ ∂/∂x(ρu)+∂/∂y (ρv )+∂/∂z(ρw) =1 C D ∂u/∂x+∂v/∂y +∂w/∂z=0 ∂/∂x(ρu)+∂/∂y (ρv )+∂/∂z(ρw) =0 Answer A Question Vorticity in the z-direction is given by, A B C D Answer 2(∂v/∂x-∂u/∂y) (∂u/∂x-∂v/∂y) (∂u/∂x+∂v/∂y) (∂v/∂x+∂u/∂y) A Question The motion is described as when the components of rotation or vorticity are zero throughout certain point of the fluid. A rotational B irrotational C either of the above D None of the above Answer B Question The concept of stream function which is based on the principle of continuity is applicable to A rotational flow only B two-dimensional flow only C three-dimensional flow D uniform flow only. Answer B Question -----is defined mathematically as the line integral of the tangential velocity about a closed path (contour). A B C D Answer circulation vorticity either of the above none of the above. A Question In a fluid-flow the stream lines are lines A B along which the vorticity is zero along which the stream function Ψ=constant C which are parallel to the equipotential lines D which exist in irrotational flow only. Answer B Question . ...... is a curve which gives an instantaneous picture of the location of the fluid particles which have passed through a given point. A Path line B Stream line C Streak line D None of the above. Answer C Question Which aspect is not true in the context of a flow-net? A is applicable to Irrational fluid flow B the bounding surface forms streamlines and the equipotential lines intersect the boundaries at right angles C spacing between streamlines as well as that between equipotential lines is inversely proportional to local velocities D for prescribed bounding surface, the flow net changes with reversal in the flow direction. Answer D Question If the Reynolds number is more than 4000, the flow in a pipe is A laminar flow B turbulent flow C transition flow D none of the above. Answer B Question A B C D Answer If the flow is Irrotational as well as steady it is known as non-uniform flow one-dimensional flow potential flow none of the above. C Question The flow in a pipe whose valve is being opened or closed gradually is an example of A steady flow B unsteady flow C rotational flow D compressible flow. Answer B Question Continuity equation for compressible fluid states that A discharge at any section is constant B discharge is different at different section C density is constant at all sections along the flow D none of the above. Answer B Question When a highly viscous fluid flows at a slow velocity, the flow becomes A Laminar B turbulent C uniform D Steady. Answer A Question A continuity equation for two-dimensional compressible flow is given by A B C D Answer (∂u/∂x)+(∂v/∂y)=0 ∂/∂x(ρu)+ ∂/∂y(ρv)=0 u∂u/∂y+v∂v/∂y=0 U(∂ρ/∂x)+v(∂ρ/∂y)=0 B Question A continuity equation given as ∂u/∂x+∂v/∂y+∂w/∂z=0 A is valid for steady flow whether the flow is compressible or incompressible B is not valid for incompressible, unsteady flow C is valid for steady & incompressible flow D is valid for ideal fluid flow only. Answer C Question A flow has diverging straight stream lines. If the flow is steady, the flow A is uniform with local acceleration B has convective tangential acceleration C has convective normal acceleration D has both convective normal and tangential accelerations. Answer B Question Flow of fluid of fluid in a pipe takes place from A Higher level to lower level B Higher pressure to lower pressure C Higher energy to lower energy D None of the above Answer C Question A B C D Answer Vorticity is given by Two time of rotation 1.5 times of rotation 3 times of rotation Equal to rotation A Question Study of fluid motion with the forces causing the flow is known as A Kinematics of fluid flow B Dynamics flow C Statics of flow D Kinematics of fluid flow Answer B Question Cipolleti weir is a trapezoidal weir having side slopes of A 1 horizontal to 2 vertical B 4 horizontal to 1 vertical C 1 horizontal to 4 vertical D 1 horizontal to 3 vertical Answer C Question Francis formula for a rectangular weir for two end contraction is given by A Q= 1.84( L -0.2 x 2H) H5/2 B Q= 1.84 ( L -02H) H3/2 C Q= 1.84 ( L -0.2 H)H5/2 D None of the above Answer B Question Irrotational flow means A Fluid does not rotate while flowing B C D Answer Fluid moves in straight lines Net rotation of fluid particles about their mass centers is zero None of the above C Question For irrotational flow the velocity potential lines and stream lines are always A Parallel to each other B coplanar C Orthogonal to each other D Inclined to horizontal Answer B Question Irrotational flow occurs when A Flow takes place in duct of uniform cross section at constant mass flow rate B Streamlines are curved C There is no net rotation of fluid element about its mass center D Fluid element does not undergo any change in shape or size Answer C Question The figure shows A B C D Answer Stream line Streak line Path line None of the above C Question For the two dimensional flow, the stream function is given by ψ = 2xy. The velocity at a point (3, 4) is A B C D Answer 6 m/sec 8 m/sec 10 m/sec 12 m/sec C Question The flow in a river during the period of heavy rainfall is : A steady ,uniform, two-dimensional B unsteady ,uniform, threedimensional C unsteady ,non-uniform and three – dimensional D steady, non-uniform and three dimensional Answer C Question Two dimensional stream function A Relates velocity and pressure. B Is constant along a stream line. C Is constant along an equipotential surface. None of these. D Answer B Question What causes convective acceleration in fluid flow ? A Steep slope in flow B Unsteady nature of flow C Non-uniformity of flow D Turbulence in flow Answer C Question A flow at an instant is represented by curved v con verging streamlines. The type of acceleration is A B C D Normal acceleration only Tangential acceleration only Both normal and tangential acceleration None of above Answer C Question A B C D Velocity of flow is independent of temperature &pressure, when the flow is Unsteady through unchanged cross-section. Steady through changing cross-section. Steady and the cross-section are unchanged. Unsteady and the cross-section is changed. Answer C A fluid element has a velocity V = (-y2.x)i + (2yx2). j. The motion at (x, y) = (l/2, 1) is a possible case of rotational Irrotational Irrotational and compressible Irrotational and incompressible Question A B C D Answer B Question An equipotential line is __________ to the streamline at every point. A B C D Answer Normal Parallel Tangential None of these A Question Steady fluid flow occur when the derivative of flow variables satisfy the following condition. A ∂v/∂t=0 B ∂v/∂t=1 C ∂x/∂t=0 D ∂t/∂s=0 Answer A Question Unsteady non-uniform flow is represented by flow through an A B C Long pipe at constant rate. Long pipe at decreasing rate Expanding tube at increasing rate. D Expanding tube at constant rate. Answer C Question Uniform fluid flow occurs, when the derivative of the flow variables satisfy the following condition. A B C D Answer ∂s/∂t=0 ∂v/∂t=0 ∂x/∂t=0 ∂t/∂s=0 A Question A water supply pipeline changes its alignment through a bend . when the flow in the pipeline is increases by operating a valve , the flow in the bend is classified as A unsteady, uniform flow B unsteady ,non-uniform flow C steady ,uniform flow D steady, non-uniform flow Answer B Question The pressure gradient in the direction of flow is equal to the A shear gradient parallel to the direction of flow B shear gradient normal to the direction of flow C velocity gradient parallel to the direction of flow D Answer velocity gradient normal to the direction of flow B Question A velocity field with no components in the y and z directions is given by, v = 6 + 2xy + t2The acceleration along the x-direction at a point (3, 1,2) at time 2, is A 36 units B 8 units C 16 units D 46 units Answer A Question Velocity field in fluid V = 4x3i - 10 x2yj + 2 tk. The velocity of particle at (2, 3, 1) and t = 2 sec. is, A 124 m/s B 12 m/s C 24 m/s D 111 m/s Answer A Question The velocity potential function for 2D flow is Φ= x(2y -1). At point P(1,1), the velocity is, A √5 unit B √15 unit C √1.5 unit D √2.5 unit Answer A Question The circulation ſ around a circle of radius 2 units for the velocity field u = 2x +3y and v = -2y is A -6π units B -12π units C -18π units D -24π units Answer B Question The x component of velocity in a two dimensional incompressible flow is given by u= 1.5x . At the point (x,y) =(1,0) , the y component of velocity v=0 . The equation for the y component of velocity is A v=0 B v = 1.5y C v= -1.5x D v= -1.5 y Answer D Question A velocity field with no components in the y and z direction is given by V= 6+2xy +t2. the acceleration along the x- direction at a point (3,1,2) at time t=2 , is A B C D Answer 8 units 16 units 20 units 36 units C Question The velocity in m/s at a point in a two –dimensional flows is given as V =2i+3j . The equation of the stream line passing through the point is A 3dx-2dy =0 B 2x+3y =0 C 3dx +2dy =0 D xy =6 Answer A Question Consider the following statements 1 In a source , equipotential lines are circles 2.Flow net is a representation of 2 dimensional Irrotational flow of incompressible fluid. 3 Boundaries act as a limiting equipotential lines in a flow net 4 In a uniform flow region, streamlines will be parallel and equidistant. Of these statements A 1,2 and 3 are correct B 1,2 and 4 are correct C 2,3 and 4 are correct D 1,3 and 4 are correct Answer B Question If Φ=x(2y-1)find the velocity at (-3,-5) A B C D Answer 12.04 units 12.52 units 18.06 units 5.55units B Question A steady three dimensional flow field is described by a velocity vector as V = (2x2 +3y) i+ (-2xy + 3y3 + 3yz)j + (-3z2/2 – 2xz +9y2z)k Magnitude of velocity at point (1,-2,1) is equal to A B C D Answer 2.5 m/s 41.8 62.5 1784.25 B Question Which one of the following velocity represents a possible fluid flow? A u = x; v = y B u = xy; v = x2y2 C u = x; v = - y D u = x2; v= y2 Answer C fields Question Velocity field in fluid V = 4x3i - 10 x2y j + 2 tk. The acceleration component in x-direction at (1, 1, 1) and t = 3 sec is, A 78m/s2 B 98m/s2 C 28m/s2 D 48m/s2 Answer D Question The stream function for two dimensional flow is given by ψ = 2xy. The resultant velocity at a point P(2,3) A 8.45 units /s B 7.21 units /s C 6.44 units /s D 5.18 units /s Answer B Question Water flows through a straight uniform pipe in which the discharge is reduced from 100 lps to zero in 10 seconds. If the cross sectional area of pipe is 200sq-cm,find the acceleration and its type. A Tangential acceleration with a value of -0.5m/s2 B Uniform acceleration with a value of -0.1m/s2 C Normal acceleration with a value of 1.5m/s2 D Convective acceleration with a value of -0.5m/s2 Answer A Question If the stream function in flow is given by Ψ=1.5 x2. What is the nature of the flow represented by this function. A B C D Answer Parallel to y axis in downward direction Parallel to Parallel to x axis Concentric circle Normal to y-axis in upward direction A Question In a 3-D incompressible flow,the velocity components are u=x2+z2+5,and v= y2+z2-3,find the missing component so that it satisfy continuity equation. A w= -2(x+y)z + f(x,y,z) B w=(y+z)x + f(x,y,z) C w=-(x+y)+ f(x,y,z) D w= 2x+y)z + f(x,y,z) Answer A Question The velocity along a streamline passing through origin is given by V=2√x2+y2 the velocity and acceleration at (4,3) A 25 m/s &30m/s2 B 15 m/s &30m/s2 C 10 m/s &20m/s2 D 2.5 m/s &3.0m/s2 Answer C Question A Stream function is given by Ψ=3x2+ 3y2.Is the flow possible,if so find the magnitude of the velocity. A 15.25m/s B 20.83m/s C 21.63m/s D 12.58m/s Answer C Question A diverges uniformly from 0.1m to 0,2m diameter over a length of 1m.Determine the local and convective acceleration at the mid section assuming a flow rate of 0.1m3/s A 5 m/s2&22.25 m/s2 B 0 & -42.76m/s2 C 0.5m/s2 D 0 &0.15 m/s2 Answer B Question Water flows through a pipe which diverges from 20cms from one end to 40 cms at the other. If a constant discharge of 150 lps flows through it find the velocity at both ends to maintain the discharge. A B C D Answer 12.5 m/s&15.56m/s 1.83m/s&0.85m/s 2.83 m/s&1.5m/s 4.83 m/s &1.25m/s D . Question The red lines shown indicates ----A Stream line B Streak line C Path line D None of the above Answer D Question The area of 2 long tapered duct decreases as A =0.5-0.2 x) where x,is the distance in meters. At a given instant a discharge of 0.5m3/s is flowing in the duct and is found to increase at a rate of 0.2m3/s. The local acceleration at x=0 will be A 1.4 B 1.0 C 0.4 D 0.667 Answer B Question A liquid flows downwards through a tapered vertical portion of a pipe. At the entrance and exit of the pipe the static pressure are equal. If for a vertical height 'h' velocity becomes 4 times the ratio of 'h'the velocity head at the entrance will be A 3 B 8 C 15 D 24 Answer C Question In the figure the line joining the points is called as A B C D Answer Stream line Streak line Path line None of the above B Question A stream function is give by(x 2- y 2) function of the flow will be A 2xy + f(x) B 2xy + constant C 2(x2- y2) D 2Xy + f(y) Answer B the potential Question A Pitot-static tube is used to measure the velocity of water using a differential gauge which contain manometric liquid of relative density 1.4.The defection in gauge when water flows at a velocity of 1.2m/s will be (assume coefficient of tube to be 1) A B C D Answer 183.5mm 52.4mm 5.24mm 73.4mm B Question The fig shows ---- A Stream tube which is a fluid mass bounded by a group of stream lines. B C D Pipe consisting of network of potential lines . Pipe consisting of network of path lines None of the above Answer A Question The flow through pipe shown in figure is a--- A B C D Answer One dimensional flow Two dimensional flow Three dimensional flow Four dimensional flow C Question The flow through pipe shown in figure is A B C D Answer Laminar flow Turbulent flow Transitional flow None of the above A Question The flow through pipe shown in figure is A B C D Answer Laminar flow Turbulent flow Transitional flow None of the above B Question The path taken by smoke coming out of chimney shows ----lines A B C D Answer Stream line Streak line Path line None of the above B Question The velocity components in x and y directions in terms of velocity potential Φ are A u= - ∂Φ/∂x, v= - ∂Φ/∂y B u= ∂Φ/∂x, v= - ∂Φ/∂y C u= ∂Φ/∂y, v= ∂Φ/∂x D u= - ∂Φ/∂x v= ∂Φ/∂y Answer A Question The velocity components in x and y directions in terms of stream function Ψ are A u= - ∂Ψ/∂y, v= ∂Ψ/∂x B u= ∂Ψ/∂x, v= ∂Ψ/∂y C u= ∂Ψ/∂y, v= ∂Ψ/∂x D u=- ∂Ψ/∂x, v= ∂Ψ/∂y Answer A Question Which of the following statement is false for two-dimensional flow field ? A If Φexists, Ψ will also exist B If Ψexists, Φ will also exist C If Φ exists the flow will be rotational D If Ψ exists flow will be either rotational or irrotational. Answer D Question The figure illustrates A B C D Pure or linear translation of fluid particles Linear motion with deformation fluid particles Rotational motion fluid particles Angular deformation fluid particles Answer D Question The figure illustrates A B C D Pure or linear translation of fluid particles Linear motion with deformation fluid particles Rotational motion fluid particles Angular deformation fluid particles Answer D Question The flow pattern represented in fig (a),(b) &(c) can be expressed respectively as A B C D y=c, x=c &y= mx+c y=f(x), x=y2&y= mx+c y=mx c,x=y2& x= my+c y= 0,x=0 &y= x2 Answer A Question The flow pattern represented in fig (d) and (e) can be expressed respectively as - A B C D Answer y=c, y= mx+c y= f(x), x2+y2=c y=mx ,x=y2& x= my+c y= x&y= x2 B Question The figure shows 2 pipes of different size. Find the loss of energy between section (1) &(2) A B C D Answer 1.276 kg-m 1.00 kg-m 0,725 kg-m 0.15 kg-m C Question An elbow nozzle assembly shown in figure is in a horizontal plane .The velocity of flow from nozzle is A B C D Answer 4 m/s 16 m/s 24 m/s 30 m/s C Question The component of velocity u and v along x and y directions in a 2D incompressible fluid are A u=x2cos y ; v=2x siny B u= x+2; v=1-y C u=xyt; v=x3– y2t/2 D U= ln x+ y; v= xy – y/x Answer A Question A flow in a 2D was represented by mesh consisting of intersection of the two lines. The graphical representation is known as A B C D Answer Intersection of flow and potential line Intersection of velocity and flow lines Flow net None of the above C Question The flow net shown in figure is drawn for A B C D Retarding flow through converging boundaries Accelerating flow through Diverging boundaries Accelerating flow through converging boundaries Retarding flow through diverging boundaries Answer C Question The head loss in case of hot water flow through a pipe compared to cold water will be A same B more C less D More or less depending on temperature Answer C Question For a flow through a horizontal pipe, gradient in the flow direction is A +ve B 1 C zero D -ve Answer D the pressure Question The differential manometer connected to pitot static tube used for measuring fluid velocity gives A Static pressure B Total pressure C Dynamic pressure D Difference between total and dynamic pressure Answer C Question The realization of velocity potential in fluid flow indicates that the A Flow must be irrotational B Circulation around any close curve must have a finite value C Flow is rotational and and satisfy the contunity equation D Vorticity must be non zero Answer A Question The figure illustrates A B C D Pure or linear translation of fluid particles Linear motion with deformation fluid particles Rotational motion fluid particles Angular deformation fluid particles Answer A Question In a 2-D flow in a x-y plane, if ∂u/∂y =∂v/∂x then fluid element will undergo A Translation only B Translation and rotation C Translation and deformation D Rotation and deformation Answer A Question Path line can cross the stream line at right angles when flow is A rotational B Irrotational and unsteady C Irrotational and steady D Unsteady Answer D Question The following are the practical examples of continuity equation A For one dimensional flow-if mean velocity at one section is known, the mean velocity at any other section can be found out B For two dimensional flow-if any one velocity component is known, its perpendicular component at that point can be computed Both A &B None of the above C D Answer C Question The method of drawing flow net by graphical method A B C D Answer Velocity potential lines are drawn first Streamlines are drawn first Velocity potential lines and stream lines are drawn simultaneously None of the above B Question If u=2yz+t2 , v=x2z-t, w=xy2,find the acceleration along ax at point(2,1,2) direction at time t=1sec A 30 m/s2 B 28.5 m/s2 C 15 m/s2 D 20.5 m/s2 Answer A Question Flow is represented by the stream function Ψ =xy. the velocity components u and v are------and flow is -------- A B C D Answer U=x2,v=y2 and rotational u=x, v=-y and flow is irrotational u=x, v=-y and flow is rotational none of these B Question A flow is represented by a group of concentric streamlines as shown in fig. The type of acceleration in such flow is A B C D Answer Local Acceleration Total Acceleration No acceleration Convective normal acceleration D Question The magnitude of the component of velocity at a point (1,1) for a stream function ψ=x2-y2 is equal to A B C D Answer 2 2√2 4 4√2 B Question In a two dimensional incompressible steady flow around an airfoil , the stream lines are 2cm apart at a great distance from the airfoil , where the velocity is 30m/s . The velocity near the airfoil , where the stream lines are 1.5cm apart , is A 22.5 m/s B 33 m/s C 40 m/s D 90 m/s Answer C Question A B C D Answer Stream function y = uy –vx represents free vortex motion uniform flow parallel to x axis uniform flow parallel to y axis uniform flow inclined to x axis D Question For the streamline shown if fig the type of acceleration applicable is A B C D Answer Convective acceleration Local Acceleration Total Acceleration No acceleration D Question Identify the statements pertaining to laminar flow (1) fluid particles exhibit a regular pattern of flow (2) fluid flows through a narrow passage (3) momentum transfer is on macroscopic level (4) the injection of smoke or dye fills the pipe A 1 &2 B 2 C 1 D 1 &4 Answer A Question A B C D Answer A flow through a long pipe at varying rate is called __________ uniform flow. steady unsteady One dimensional flow Rotational flow B Question A B C D Answer A flow in which each liquid particle has a definite path and their paths do not cross each other, is called Steady flow Uniform flow. Streamline flow Turbulent flow C Question A stream line is A The line of equal velocity in a flow B The line along which the rate of pressure drop is uniform C The line along the geometrical center of the flow D Fixed in space in steady flow. Answer D Question Separation of flow occurs due to reduction of pressure gradient to A B C Zero Negligibly low value The extent such that vapour formation starts D . None of the above Answer C Question A flow through an expanding tube at constant rate is called A Steady uniform flow B Steady non-uniform flow C Unsteady uniform flow D Unsteady non-uniform flow Answer B Question The continuity equation A Expresses the relationship between work and energy B Relates the momentum per unit volume between two points on a stream line C Relates mass rate of flow along a stream line D Requires that Newton's second law of motion be satisfied at every point in fluid. Answer C Question If u, v, w are the components of the velocity V of a moving particle, the equation represents A One-dimensional flow B Two dimensional flow C Three dimensional flow D None of these Answer C Question The figure illustrates A B C D Pure or linear translation of fluid particles Linear motion with deformation fluid particles Rotational motion fluid particles Angular deformation fluid particles Answer B Question In an experimental work to trace the motion of fluid particles, a coloured dye may be injected into the flowing fluid and the resulting coloured filament lines at a given location give -------line A B C D Answer Stream line Streak line Path line None of the above B Question A flow, in which the quantity of liquid flowing per second is constant, is called __________ flow. A Steady B Streamline C Turbulent D Unsteady Answer A Question For steady flow of a perfect fluid through a contracted section in a horizontal tube, which of the following statements are true A The mass flow rate is the same inside and outside the contracted section. B C D Answer The pressure is higher inside the contracted section The fluid slows down as it passes through the contracted section None of the above A Question The resistance wire used in a hot wire anemometer for conducting electrical current is made of A Copper B Tungsten C Chromium D Aluminum Answer A Question A steady uniform flow is through A A long pipe at decreasing rate B C A long pipe at constant rate An expanding tube at constant rate D An expanding tube at increasing rate Answer B Question Pick out the wrong statement about a streamline. A It is always parallel to the main direction of the fluid flow B It is a line across which there is no flow and it is equivalent to a rigid boundary. C Streamlines intersect at isolated point of zero velocity and infinite velocity. D The mass of fluid between any two streamlines can be considered constant Answer C Question Steady non-uniform flow is exemplified by flow through an A B Long pipe at constant rate. Expanding tube at increasing rate. C Expanding tube at constant rate. D None of above Answer C Question If velocities of fluid particles vary from point to point in magnitude and direction, as well as from instant to instant, the flow is said to be A Laminar B Turbulent flow C Uniform flow D Non-uniform flow Answer B Question What type of motion the fluid element undergoes, when it changes from one position to another position, such that the angle between the two sides changes in direction? A Rotation B Translation C Linear deformation D Angular deformation Answer D Question Uniform flow is said to occur when A Size and shape of the cross-section in a particular length remain constant B Size and shape of the cross-section change along a length Frictional loss in the particular length of the pipe will the more than the drop in its elevation Frictional loss in the particular length of the pipe, will be less than the drop in elevation. C D Answer A Question The continuity equation in ideal fluid flow states that A Net rate of flow into any small volume must be zero. B Energy is not constant along a streamline. C There exists a velocity potential. D Answer None of above A Question Equation of continuity of flow is principle of conservation of A Mass B Momentum C Force D None of these. Answer A based on the Question A B C D For an irrotational motion the fluid elements do not undergo a circular motion the velocity is constant at every point in the flow field the fluid particles do not rotate about their mass centres while moving along a streamline the fluid elements do not experience any shear. Answer C Question A B C D Flow is rotational if the fluid element undergoes linear deformation fluid element undergoes angular deformation fluid element undergoes net rotation in a plane about an axis normal to the plane flow takes place in a circular path. Answer C Question A B C D Answer During the opening of a valve, the flow is laminar unsteady uniform rotational. B Question Mark the wrong statement: A streamlines cannot start or end anywhere except at the interface or infinity B streamline spacing varies directly as the flow velocity C streamlines can meet at a stagnation point where the velocity is zero D the flow is only possible in direction of falling velocity potential Answer B Question For a two-dimensional flow field, the equation of a streamline is given as A B C D Answer u/dx=dy/v du/dx= dv/ dy/=0 dy/u= dx/v dx/u= dy/v D Question The flow-net analysis can be used to determine A quantity of seepage and upward lift press B the efficient boundary shapes, for which the flow does not separate. C the velocity and pressure distribution for given boundaries of flow (provided the velocity distribution and pressure at any reference section are known). D all of the above. Answer D Question If velocity potential Φ satisfies the Laplace’s equation, it represents the possible ..... flow. A unsteady, compressible, rotational B steady, compressible, irrotational C unsteady, incompressible, rotational D Steady, incompressible, irrotational. Answer D Question ---------is defined as a scalar function of space and time such that its negative derivative with respect to any direction gives the fluid velocity in that direction. A potential function B Stream function C Circulation D Vorticity. Answer A Question Body perfume is sprayed. The flow of spray mist so generated will represent, A B C D Answer Path line Streamline Streak line flow line C