场协同原理在高超声速化学非平衡流动中的推广

Extension of Field Synergy Principle to Hypersonic Chemical Non-Equilibrium Flows

应用理论分析与数值模拟方法,将对流传热的场协同原理从不可压缩流动推广至高超声速化学非平衡流动中。结果表明,高超声速化学非平衡层流与湍流的热流密度取决于流动的当地单位体积的动量与单位质量总焓梯度的协同。用当地单位体积的动量与单位质量总焓梯度的协同研究高超声速化学非平衡流动的壁面传热问题,对层流流动下的对流传热,不但计及了高超声速化学非平衡流的密度变化对热流密度的影响,而且包括了静焓梯度、压力梯度、边界层内的分子黏性剪切效应对热流密度的作用;对湍流问题,除了上述层流流动各项对热流密度的影响外,还计及了雷诺剪切应力对热流密度的作用。考虑到高超声速化学非平衡流静焓的定义,高超声速化学非平衡层流及湍流的场协同同时计及所有组分的平动能、转动能、振动能及电子能等梯度的贡献。

The field synergy principle for incompressible convective heat transfer is extended to the hypersonic compressible laminar and turbulent flows in chemical non-equilibrium based on the theoretical analysis and numerical simulations. The result shows that the heat flux of the hypersonic compressible laminar and turbulent flows in chemical nonequilibrium is determined by the synergy between the local momentum per unit volume and the gradient of the total enthalpy per unit mass. For the hypersonic laminar flows in chemical non-equilibrium,not only the effect of the change of the density for the hypersonic flows in chemical non-equilibrium is taken into account,but also the effects of the gradient of the static enthalpy,the pressure gradient and the molecular viscosity near the wall on the heat flux is considered. For the turbulent flows,besides the effects of the change of the density,the gradient of the static enthalpy,the pressure gradient and the molecular viscosity near the wall on the heat flux,the Reynolds shear stress are also contained. Considering the definition of the static enthalpy of the hypersonic flows in chemical non-equilibrium,the contributions of the translational,rotational,vibrational,and electronic energies of all the species produced by the chemical non-equilibrium reactions to the synergy of the hypersonic laminar and turbulent flows are considered simultaneously.