− and
+ refer to the upstream and downstream side of the screen, whereas
K and
η are the screen resistance and refraction coefficients. Isotropic turbulence is expected on the downstream side of the screen, hence,
The attenuation of the turbulence kinetic energy (Equation 3-47) is based on the suppression of the tangential velocity (
Equation 3-46) and the changes in
ε and
ω are determined by the assumption of preservation of the turbulence length-scale across the screen.
Here σs is the solidity (ratio of blocked area to total area of the screen) and
d is the diameter of the wires. For a square mesh, the following correlation is applied,
The following correlation for wire gauzes (Ref. 18) gives reasonable values for
η for a wide range of applications and has been included in the implementation,