A Calculation Method of Radiation Equilibrium Temperature Considering Slip Correction

Abstract

The invention discloses a radiation equilibrium temperature calculation method considering slip correction, which is mainly used for coupling the slip temperature boundary and the wall surface radiation equilibrium temperature boundary in the process of numerically simulating hypersonic slip flow based on Navier-Stokes control equations process. On the basis of the traditional radiation balance energy equation, this method introduces the correction of the thin slip temperature of the wall surface gas to form a radiation balance equation based on the slip temperature, and obtains the gas slip temperature by solving the slip temperature radiation balance equation implicitly iteratively. The surface temperature-slip relationship obtains the wall radiation equilibrium temperature distribution. This method is well compatible with the two physical mechanisms of surface radiation energy balance and surface temperature rarefaction slip effect, with good calculation stability and rapid convergence.

Description

technical field [0001] The invention relates to the field of numerical simulation calculations, in particular to a calculation method for the radiation equilibrium temperature of a hypersonic thin slip flow wall surface. Background technique [0002] Wall radiation equilibrium temperature condition and surface gas temperature slip condition are two commonly used temperature boundary conditions in hypersonic flow simulation. For these two boundary conditions, separate studies are more common: when using the wall radiation equilibrium temperature condition, the rarefied slip effect of the surface gas is often ignored, that is, the surface gas temperature is considered to be the same as the wall temperature; and when considering the surface gas temperature glide When there is no effect, the isothermal wall condition is generally adopted, that is, the wall temperature is a certain fixed temperature condition. The combined use of the two is relatively rare. [0003] With the in...

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Problems solved by technology

At this time, in the process of solving the energy radiation balance equation of the wall temperature boundary processing, if there is a non-physical fluctuation in the wall temperature due to some reasons (such as numerical errors, etc.), this fluctuation will be transmitted to the gas slip through the slip relationship temperature, so that the slip temperature fluctuates; and because "the temperature of the micro-elements in the second layer of the wall is a definite value and the normal distance of the first layer of the wall is extremely small", this will lead to severe fluctuations in the heat flow of the wall; and the severe fluctuation of the heat flow The fluctuations in turn affect the solution of the energy radiation balance equation, so that the non-physical fluctuations are rapidly fed back and amplified, and even lead to calculation failure and divergence.

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