01 FUNDAMENTAL PROPERTIES OF FLUIDS Introduction Fluid A state of matter in which molecules move e.g. liquids and gases Engr. Christine Joy Bayato SOLIDS FLUIDS - Molecules are tightly packed - Elasticity as an important property - will initially deform, but will not continuously deform when acted by shearing stress - Molecules are spaced - Viscosity as an important property - deforms continuously when acted by shearing stress of any magnitude Areas of Applications Human body Cars Piping and Plumbing System Industrial Applications Fluid Mechanics study of fluids either in motion (fluid dynamics) or at rest (fluid statics) and the subsequent effects of the fluid upon the boundaries, which may be either solid surfaces or interfaces with other fluids Areas of Applications Natural flows and weather Boats Aircraft and spacecraft Powerplants Hydraulics Hydrodynamics experimental approach to fluid mechanics from which empirical formulas are derived mathematical approach to fluid mechanics where computations are based on imaginary fluid that is completely frictionless (Analytical & Numerical) 02 Fluid Classification Compressibility the change in volume of a fluid per unit change in pressure in a constant temperature process Viscosity a fluid’s resistance to flow Note: In general, all fluids are compressible but liquids have negligible compressibility TWO MAIN CLASSIFICATIONS Ideal Fluids incompressible, inviscid (non-viscous) and exhibit uniform velocity distribution when flowing Mass Density measure of concentration of matter Specific volume the volume occupied by a unit mass Real Fluids A. Newtonian – follows Newton’s Law of Viscosity; viscosity is constant B. Non-Newtonian Fluids – viscosity is variable 03 Fluid Properties Specific weight The weight per unit volume of a fluid Specific Gravity a dimensionless ratio of a fluid’s density to some standard reference density Compressibility fractional change in the volume of a fluid per unit change in pressure in a constanttemperature process Viscosity Kinematic Viscosity property which determines a fluid’s resistance to shear ratio of the dynamic viscosity to its mass density Surface Tension Capillarity membrane formed when intermolecular cohesive forces act on the free surface of the fluid Ability of a liquid to flow in narrow spaces without the assistance of external forces Bulk Modulus of Elasticity Celerity of Pressure Wave expresses the compressibility of the fluid acoustic or sonic velocity of a wave due to pressure disturbances Ideal Gas Law The equation of state of a hypothetical ideal gas Boiling formation of vapor bubbles within a fluid mass; initiated when the absolute pressure in the fluid reaches the vapor pressure Pascal Vapor Pressure the equilibrium pressure exerted by the vapor form of a fluid just above the liquid surface Evaporation occurs when the molecules at the surface of a liquid placed in a container open to atmosphere have sufficient momentum to overcome the intermolecular cohesive forces and escape to the atmosphere RECITATION 1 PA m/s Meter per second in in N Newton lbm Pound mass cu.cm. Cubic centimeter ha hectare s seconds atm Atmosphere gal gallon lbf Pound force μm micrometer L liter K kelvin kg kilogram mol moles bar bar RECITATION 2 ρ density σ Surface tension Vs Specific volume W Weight h Capillary rise s Specific gravity g gravity μ viscosity T temperature β compressibility dV Change in volume P Pressure n Number of moles EB Bulk modulus of elasticity c dP Change in pressure Celerity γ Specific weight m mass V volume Solution 04 SAMPLE PROBLEMS Sample Problem 1 Show the conversion: 300 barr to kPa to atm 1 barr = 100 000 Pa 1 atm = 101 325 Pa Solution Sample Problem 2 Sample Problem 3 At what temperature will 0.654 moles of neon gas occupy 12.30 liters at 1.95 atmospheres? The specific weight of water at ordinary pressure and temperature is 62.4 lb/ft3. The specific gravity of mercury is 13.56. Compute the density of water and the specific weight and density of mercury. Solution Solution Sample Problem 4 Solution Sample Problem 5 Sample Problem 6 A distance between the moving plate and fixed plate is 0.025 mm, the velocity of moving plate is 60 cm/s, requires a force of 2 N/m2 (shear stress). Determine the fluid viscosity between the plates? Solution Solution Sample Problem 7 Determine the specific gravity (S) of a fluid having a dynamic viscosity (μ) is 0.05 poise and kinematic viscosity 0.035 stokes? Solution Sample Problem 8 SEATWORK 1 Calculate the diameter of a capillary tube that is six inches long if you want the fluid to rise to the top of the tube. Assume the fluid is water with a surface tension of 0.1 N/m, specific weight of 9.8kN/m3, and a contact angle of zero degrees. A small village draws 1.5 acre-foot of water per day from its reservoir. Convert this water usage into (a) gallons per minute; and (b) liters per second. (Use the shown unit conversion) Solution Solution SEATWORK 2 Calculate the density, specific weight, and specific volume of chlorine gas at 25.3°C and pressure of 601.4 kN/m2 abs where R=117.1 Nm/kgK. Solution SEATWORK 3 SEATWORK 4 The specific weight of water at ordinary pressure and temperature is 9.81 kN/m3. The specific gravity of mercury is 13.56. Compute the density of water and the specific weight and density of mercury Consider a container of heavy cream which has a density of 1005.2 kg/m3. If we whip the cream to three times its volume, what is the specific gravity and specific weight of the whipped cream? Solution Solution SEATWORK 5 A flat plate of area 1.5×106 mm2 is pulled with a speed of 0.4 m/s relative to another plate located at a distance of 0.15 mm from it. Find the force and power required to maintain this speed , if the fluid separated them is having viscosity as 1 poise. Solution SEATWORK 6 Determine the viscosity of a liquid having kinematic viscosity 6 stokes and specific gravity 1.9? SEATWORK 6 Calculate the capillary effect in millimeter in a glass tube of 4 mm diameter, when immersed in (1) water , and (2) mercury. The values of the surface tension of water and mercury are 0.073575 N/m and 0.51 N/m respectively. The angle of contact for mercury 1.30o. Solution Question & answer