“…In the study by Vorobev et al, we found that for the studied flows the gas molecular viscosity and the granular viscosity are always overpowered by the gas turbulent viscosity, μ g,t , and by the turbulent granular viscosity, μ s,t . That is why the viscous terms in eqs and are solely defined by the turbulent viscous stresses, which are given by the following equations: τ g , t = μ g , t false( normal∇ true v → normalg + false( normal∇ true v → normalg false) T false) − 2 3 false( ρ normalg k + μ normalg , normalt ( ∇ · v → g ) false) I τ s , t = μ s , t false( normal∇ true v → normals + false( normal∇ true v → normals false) T false) − 2 …”