Test 3 Fluids Formula Card

# Test 3 Fluids Formula Card - Fluid Dynamics Chapter 1...

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Fluid Dynamics – Chapter 1: Introduction Basic Dimmensions MLT system M=mass, L=length, T=time FLT system F=force, L=length, T=time British Gravitational (BG) L=foot, T=sec, F=lb M = slug = lb s 2 /ft (mass = weight/32.2 ft/s 2 ) Temp = ° F Abs. Temp = ° R = ° F + 460 (Dynamic) Viscosity ( μ ) : measures how easily a fluid flows—relates the shearing stress and the fluid motion. ( μ = slope of shearing stress vs. rate of shearing strain graph) Speed of Sound (for ideal gases) k = cp/cv (see Tab. 1.7, 1.8) R=gas const. (see Tab. 1.7,1.8) T = absolute temperature General Homogeneous Eqs : constants are dimensionless— equations valid in any system of units. Restricted Homogeneous Eqs : equations restricted to a particular system of units. International System (SI) L=meter, T=sec, M=kg F = newton (N) = kg m/s 2 Work = J = N m (mass = weight/9.81 m/s 2 ) Temp = ° C Abs. Temp = K = ° C + 273 Sutherland Equation : empirical eq. relating viscosity to temperature for gasses For liquids , as temperature increases, viscosity decreases For gases , as temperature increases, viscosity increases Bulk Modulus (measures how compressible a fluid is) E v = - dp/(d ρ / ρ ) Quantity FLT MLT Acceleration L/T 2 L/T 2 Angular velocity1/T 1/T Angular Accel 1/T 2 1/T 2 Area L 2 L 2 Density FT 2 /L 4 M/L 3 Energy/Heat FL ML 2 /T 2 Force F ML/T 2 Mass FT 2 /L M Mod. of Elas. F/L 2 M/(LT 2 ) Momentum FT ML/T Power FL/T ML 2 /T 3 Pressure/Stress F/L 2 M/(LT 2 ) Temperature θ θ Torque FL ML 2 /T 2 Velocity L/T L/T Viscosity(dyn) FT/L 2 M/(LT) Volume L 3 L 3 Work FL ML 2 /T 2 Density = ρ = mass/volume Specific volume = v = 1/ ρ Specific weight = γ = ρ g Specific gravity = SG SG = ρ / ρ H20 ( ρ = SG ⋅ ρ H20 ) ρ H20 =1000kg/m 3 =1.94slugs/ft 3 Weight = W = m g = ρ g V Andrade’s Eq. (for liquids ) Reynolds Number Re= ρ VD/ μ (unitless) ρ = density V = velocity of flow D = diameter of pipe μ = viscosity Re<2000 laminar Re>2000 turbulent Kinematic viscosity ν = μ / ρ Ideal Gas Law P = ρ R T P = absolute pressure

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Test 3 Fluids Formula Card - Fluid Dynamics Chapter 1...

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