Advanced Fluid Mechanics
Catalog Description: ME531 Advanced Fluid Mechanics (3,0)3
Governing Equations: Basic Conservation Laws, Flow Kinematics, Special Foems of the
Governing Equations, Ideal-Fluid Flow:Two-dimensional Potential Flows, Viscous Flows of
Incompressible Fluids: Exact Solutions.
Text-Book: Fundamental Mechanics of Fluids, I. G. Currie, McDonald.
References: 1. Introduction to Fluid mechanics, 4th edition, Robert W. Fox, Alan T.
McDonald
2. Mechanics of Fluids, 3rd edition, Merle C. Potter, David C. Wiggert
3. Fundamentals oof Fluid Mechanics, Munson, Young, Okiishi, 5th edition,
John Wiley and Sons.
Topics
Governing Equations
1. Basic Conservation Laws.................................................... weeks
1.1 Statistical and Continuum Methods
1.2 Eulerian and Lagrangian Coordinates
1.3 Material Derivative
1.4 Control Volumes
1.5 Reynolds’ Transport Theorem
1.6 Conservation of Mass
1.7 Conservation of Momentum
1.8 Conservation of Energy
1.9 Discussion of Conservation Equations
1.10 Rotation and Rate of Shear
1.11 Constitutive Equations
1.12 Viscosity Equations
1.13 Navier-Stokes equations
1.14 Energy Equations
1.15 Governing equations for Newtonian Fluids
1.16 Boundary Conditions
2. Flow Kinematics................................................................... weeks
2.1 Flow Lines
2.2 Stream Lines
2.3 Path Lines
2.4 Streak Lines
2.5 Circulation and vorticity
2.6 Stream Stubes and Vortex Tubes
2.7 Kinematics of Vortex Lines
3. Special Foems of the Governing Equations...................... weeks
3.1 Kelvin’s Theorem
3.2 Bernoulli Equation
3.3 Crocco’s Equation
3.4 Vorticity Equation
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Ideal-Fluid Flow
4. Two-dimensional Potential Flows.........................................weeks
4.1 Stream Function
4.2 Complex Potential and Complex Velocity
4.3 Uniform Flows
4.4 Source, Sink, and Vortex Flows
4.5 Flow in a sector
4.6 Flow around a Sharp Edge
4.7 Flow due to a Doublet
4.8 Circular Cylinder without Circulation
4.9 Circular Cylinder with Circulation
4.10 Blasius’Integral Laws
4.11 Force and Moment on a Circular Cylinder
4.12 Conformal Transformations
4.13 Joukowski Transformation
4.14 Flow around Ellipses
4.15 Kutta Condition and the Flat-Plate Airfoil
4.16 Symmetrical Joukowski Airfoil
4.17 Circular-Arc Airfoil
4.18 Joukowski Airfoil
4.19 Schwarz-Christoffel Transformation
4.20 Source in a Channel
4.21 Flow through an Aperture
4.22 Flow past a Vertical Flat Plate
Viscous Flows of Incompressible Fluids
5. Exact Solutions............................................... weeks
5.1 Coutte Flow
5.2 Poiseuille Flow
5.3 Flow between Rotating Cylinders
5.4 Stagnation-Point Flow
Grading Policy:
Homework
Midterm Exam
Final Exam
%
%
%
Minimum Attendance required
70%
Prepared by Assist. Prof. Dr. Ing. Hüseyin Çamur
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