From: A decomposition formula for the wall heat flux of a compressible boundary layer
Heat conduction | \( {q}_{L,j}=\overline{\kappa \partial T/\partial {x}_j} \) |
Turbulent transport of heat | \( {q}_{T,j}=-\overline{\rho {u}_j^{\prime \prime }{h}^{\prime \prime }} \) |
Molecular diffusion | \( {D}_j=\overline{u_k^{\prime \prime }{\sigma}_{kj}} \) |
Turbulent transport of TKE | \( {T}_j=\overline{\rho {u}_j^{\prime \prime }{u}_k^{\prime \prime }{u}_k^{\prime \prime }}/2 \) |
Work by molecular stresses | \( {MS}_j={\tilde{u}}_k{\overline{\sigma}}_{k,j} \) |
Work by Reynolds stresses | \( {RS}_j=-{\tilde{u}}_k\overline{\rho {u}_k^{{\prime\prime} }{u}_j^{{\prime\prime} }} \) |