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Comparison of approximate analytical and numerical solutions for heat fluxes in viscous supersonic flow past a body

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Abstract

The axisymmetric supersonic laminar flow of a viscous perfect gas past a blunt body is studied over a wide range of Reynolds and Mach numbers. An approximate analytical solution for the distribution of the heat flux, divided by its value at the stagnation point, over the body surface is derived. The expression for the relative heat flux depends only on the body geometry and the pressure distribution over the body surface. To evaluate the accuracy and the range of validity of the formulas obtained, a comparison with numerical solutions of the complete Navier-Stokes equations was carried out for bodies of various shapes, such as spheres, ellipsoids, and paraboloids.

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References

  1. I. G. Brykina, V. V. Rusakov, and V. G. Shcherbak, “Approximate formulas for the heat transfer to a perfectly catalytic surface in the vicinity of the plane of symmetry,”Prikl. Mat. Mekh.,53, 956 (1989).

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  2. I. G. Brykina, V. V. Rusakov, and V. G. Shcherbak, “Method of determining the heat fluxes and friction in the three-dimensional hypersonic flow problem using the two-dimensional solutions,”Dokl. AN SSSR,316, 62 (1991).

    Google Scholar 

  3. I. G. Brykina, V. V. Rusakov, and V. G. Shcherbak, “Approximate formulas for the heat transfer to the surfaces of blunt bodies,”Prikl. Mat. Mekh.,56, 658 (1992).

    Google Scholar 

  4. I. G. Brykina, “Integration of the hypersonic viscous shock layer equations by successive approximations,”Zh. Vychisl. Mat. Mat. Fiz.,18, 154 (1978).

    Google Scholar 

  5. M. Ya. Ivanov, V. G. Krupa, and R. Z. Nigmatullin, “Implicit higher-accuracy Godunov scheme for integrating the Navier-Stokes equations,”Zh. Vychisl. Mat. Mat. Fiz.,29, 888 (1989).

    Google Scholar 

  6. V. A. Polyanskii, V. I. Sakharov, and I. L. Pankrat'eva, “Calculation of viscous compressible flows using higher-accuracy monotonic schemes,” Institute of Mechanics of Moscow University, Report No. 4189 (1992).

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Authors
  1. I. G. Brykina
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  2. V. I. Sakharov
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Additional information

Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 125–132, January–February, 1996.

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Brykina, I.G., Sakharov, V.I. Comparison of approximate analytical and numerical solutions for heat fluxes in viscous supersonic flow past a body. Fluid Dyn 31, 107–113 (1996). https://doi.org/10.1007/BF02230754

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  • DOI: https://doi.org/10.1007/BF02230754

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