Calculation of oscillating boundary layers with the q-ζ turbulence model

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“…The pressure dilatation term is resulted from using Favre-averaging on the square root of turbulence kinetic energy equation that represents in the last term of Equation (9). The model for pressure-dilatation correlation incorporates the effects of the turbulent Reynolds number (Re t ), turbulence Mach number (M t ) and ratio of the production to the dissipation rate of square root of the turbulence kinetic energy (P q /ζ).…”

“…8 The results showed that the q-ζ model compared well with the k-ε model in separated flows behind the steps even with the use of coarser calculation mesh. In a further development, Dafa'Alla, et al [9][10] applied the model to boundary layers with periodic variation of free-stream velocity and timemean adverse pressure gradient, and Gibson and Harper 11 calculated the heat transfer from an impinging jet. The predictions compared well with the corresponding experimental data and with the k-ε model, and the q-ζ model was the more economical with coarser grids and less computing time required for convergence compared with the other methods.…”