z-direction momentum

∂*v*z

∂*v*

∂*v*

1 ∂*p*

+ *v*r z + θ z + *v*z z = -

+

(21)

ρ ∂*z * gravity

∂*t*

∂*r*

∂*z*

g

pressure term

where

θ = horizontal along-channel (angular) coordinate

direction

direction

ρ = fluid density

Appropriate scaling criteria are derived from the equations of motion by

expressing the equations in nondimensional form using the following definitions

and substituting for the independent and dependent variables:

^* t*

^

^

^

;

;

;

(4-22)

^

^

^

where

33

Chapter 4 Turbulence Scale Effect in Distorted Models