1.

Which of these terms corresponds to the cross stresses?(a) \(\rho\overline{u_i^{‘}\overline{u_j}}\)(b) \(\rho\overline{\overline{u_i}u_j^{‘}}\)(c) \(\rho\overline{\overline{u_i}u_j^{‘}} + \rho\overline{u_i^{‘}\overline{u_j}}\)(d) \(\rho\overline{\overline{u_i}u_j^{‘}}\, – \rho\overline{u_i^{‘}\overline{u_j}}\)I got this question during an internship interview.Question is taken from Turbulence Modelling topic in section Turbulence Modelling of Computational Fluid Dynamics

Answer»

Right answer is (c) \(\rho\overline{\overline{u_i}u_j^{‘}} + \rho\overline{u_i^{‘}\overline{u_j}}\)

The best explanation: The cross-stresses AMONG the other SGS stresses OCCUR due to the INTERACTION between two VARIABLES. It can be given by the equation \(\rho\overline{\overline{u_i}u_j^{‘}} + \rho\overline{u_i^{‘}\overline{u_j}}\). The filtered and the unfiltered variables come together in each of these terms.



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