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Table 1 Expressions for the terms at the right hand of Eq. (5)

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

\( {RS}_j=-{\tilde{u}}_k\overline{\rho {u}_k^{{\prime\prime} }{u}_j^{{\prime\prime} }} \)