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Fluid Mechanics & Thermodynamics 2 > Fluids > Flashcards

Flashcards in Fluids Deck (13)
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1

Equation for
Local Friction Coefficient

cf = 2 · τw / ρUm²

2

Equation for
Friction Drag Coefficient

CDF = 2 · Drag Force / Area · ρUm²

3

Momentum Integral equation

τw = ρUm² · ∂θ/∂x

4

Displacement Thickness

δ* = ∫(1 - U/Um) dy

5

Momentum Thickness

θ = ∫U/Um · (1 - U/Um) dy

6

Shape Factor

H = δ* / θ

7

Equation for Vorticity (Cartesian)

ωz = ∂V/∂x - ∂U/∂y

8

Equation for Vorticity (Cylindrical)

ωz = 1/r [∂/∂r (rUθ) - ∂/∂θ (Ur)]

9

Continuity Equation

∂U/∂x + ∂V/∂y = 0

10

Irrotational?

Vorticity = 0
∇ × u̲ = 0

11

Divergence free?

Divergence = 0
∇ · u̲ = 0

12

Stream functions

Constant along streamline
U = ∂ψ/∂y, V = -∂ψ/∂x

13

Reynolds Number

Re = ρυL/μ