Question 2 Dimensional Analysis Flashcards
Friction factor
π = τw/ ρV^2
Reynold’s number
π = ρVD/μ
Relative roughness
π = Ɛ/D
Power number
Π = W/ρω^3 D^5
Adapted Reynold’s number
Π = D(ρωD)/μ
Stokes Law
FD = 3 π μ V Dp
Freude Number
V/√g √Dp = Wo/√g√Zo = WR/√gR
Euler’s number
ΔP/ρV^2
Pressure Dimensions
[m/Lt^2]
surface tensions dimensions σ
[m/t^2]
density dimensions
[m/L^3]
viscosity dimensions μ
[m/Lt]
Angular velocity dimensions stirrer ω
[L/t]
Velocity dimensions
[L/t]
Shear stress τ dimensions
[m/Lt^2]
Aerodynamic drag dimensions
[mL/t^2]
Gravitational constant dimensions
[L/t^2]
Volume flow rate dimensions
[L^3/t]
Axial Pressure Gradient dimensions
[m/L^2 t^2]
Rate of heat transfer dimensions Q
[mL^2/t^3]
Mass rate dimensions m
[m/t]
Specific heat capacity dimensions
[L^2 / t^2 T]
Angular velocity cylindrical container dimensions
[1/t]
