On the discontinuity of the dissipation rate associated with the temperature variance at the fluid-solid interface for cases with conjugate heat transfer.

In the case of conjugate heat transfer, the dissipation rate associated with the temperature variance is discontinuous at the fluid-solid interface. The discontinuity satisfies a compatibility condition involving the fluid-solid thermal diffusivity and conductivity ratios and the relative contribution to the dissipation rate of its wall-normal part. The present analysis is supported by the Direct Numerical Simulations of an incompressible channel flow at a Reynolds number, based on the friction velocity, of 150, a Prandtl number of 0.71 and several values of fluid-solid thermal diffusivity and conductivity ratios. One dataset (diric) corresponds to an imposed temperature at the fluid boundary. One dataset (neuma) corresponds to an imposed heat flux at the fluid boundary. The 9 other datasets correspond to fluid-solid thermal coupling with various thermal diffusivity (G) and thermal conductivity (G2) ratios.共轭换热(conjugate heat transfer)场景下，温度方差耗散率在流固界面处存在间断。该间断满足一项相容性条件，该条件涉及流固热扩散率比、导热系数比，以及其壁面法向分量对耗散率的相对贡献。本分析的支撑数据来自针对不可压缩槽道流的直接数值模拟(Direct Numerical Simulations)：该槽道流基于摩擦速度定义的雷诺数为150，普朗特数为0.71，并设置了多组流固热扩散率与导热系数比参数。其中一组数据集（diric）对应流体边界施加给定温度的边界工况；另一组数据集（neuma）对应流体边界施加给定热通量的边界工况；剩余9组数据集对应不同热扩散率比(G)与导热系数比(G2)的流固热耦合工况。