Although many experimental and numerical studies on thermal convection exist for turbulent transpiration boundary layer flows on a porous structure, the general convective heat flux formula is urgently needed to clarify the influence of injection or suction on the energy transfer mechanism of turbulent heat convection. The two-dimensional (2D) theoretical convective heat flux structure obtained previously is therefore applied to the incompressible turbulent thermal boundary layer on a porous flat plate with uniform injection and suction. The energy balance relationship between the streamwise and wall-normal heat flux components is established and the effects of injection and suction on turbulent convective heat fluxes are analyzed. The explicit analytical expressions of turbulent skin friction factor, convective heat transfer coefficient and Stanton number are obtained based on the heat flux theory and verified by the previously experimental measurements. The turbulence characteristics of convective heat transfer with uniform injection and suction are revealed by the proposed key parameters. A hybrid control volume analysis for energy transfer inside the porous media plate is performed and applied to the cases of transpiration cooling and enhancing heat transfer, respectively, and a novel calculation formula for convective heat transfer is proposed in the form of heat flux instead of the heat transfer coefficient. It is also found that the direction of the resultant convective heat flux combining the conduction with advection is not always to remain that of the negative temperature gradient, and it depends not only on the temperature difference direction as well as velocity direction, but also on the magnitude contrast of the conductive and advective heat fluxes.

尽管对于多孔结构上的湍流蒸腾边界层流存在许多热对流的实验和数值研究，但迫切需要通用的对流热通量公式来阐明注入或吸力对湍流热对流能量传递机制的影响。因此，将先前获得的二维 (2D) 理论对流热通量结构应用于具有均匀注入和吸入的多孔平板上的不可压缩湍流热边界层。建立了流向和壁面法向热通量分量之间的能量平衡关系，并分析了注入和吸入对湍流对流热通量的影响。湍流蒙皮摩擦系数的显式解析表达式，对流传热系数和斯坦顿数是基于热通量理论获得的，并通过先前的实验测量得到验证。所提出的关键参数揭示了均匀注入和吸入对流换热的湍流特性。对多孔介质板内的能量传递进行混合控制体积分析，分别应用于蒸腾冷却和增强传热的情况，提出了一种新的对流换热计算公式，以热通量的形式代替传热系数。还发现传导与平流相结合的合成对流热通量的方向并不总是保持负温度梯度的方向，