Numerical analysis of convergence property of heat flux next to the wall. (February 2019)

• Record Type: Journal Article
• Authors: Zhao, Yipu; Hu, Yumeng; Huang, Haiming
• Is Part Of: Acta astronautica. Volume 155(2019)
• Page Start: 230
• Page End: 237
• Publication Date: 2019-02
• Subjects: Numerical calculation -- Hypersonic -- Heat flux -- Cell Reynolds number -- Convergence property -- Chemical nonequilibrium flow; Astronautics -- Periodicals; Outer space -- Exploration -- Periodicals; Astronautics; Periodicals; 629.405
• DOI: 10.1016/j.actaastro.2018.11.053
• Languages: English
• ISSNs: 0094-5765

Abstract

Abstract: The chemical nonequilibrium mathematical model is used to study the effect of the first grid spacing next to the wall on numerical calculation results of the surface heat flux and the stagnation heat flux. This model is composed of two-dimensional axisymmetric Navier–Stokes equations, the thermodynamic relations and the chemical reaction model. The solver is derived by implicit finite volume schemes and is validated by comparing the numerical calculation results with that in the literature. The surface heat flux and the stagnation heat flux are calculated under nine cases in which the cell Reynolds number next to the wall equals to 14.7, 7.3, 5.1, 2.9, 1.5, 1.0, 0.7, 0.5 and 0.25, respectively, and the results indicate that the surface heat flux and the stagnation heat flux gradually converge with the decrease of the cell Reynolds number next to the wall. To further verify the conclusion, the stagnation heat flux is also calculated by changing a single factor, which considers nine cases and the cell Reynolds numbers above are selected for each case, and the consistent result is obtained under nine cases. Highlights: The chemical nonequilibrium flow model is used in this paper. Ten cases are considered in the computation of the stagnation heat flux. The same nine grids are used in each case. The stagnation heat flux converges with the reduction of the cell Reynolds number.