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Solution of the equations of motion for a selectively radiating gas in a shock layer

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Abstract

Numerical solutions are obtained for the system of integro-differential equations describing the flow of a viscous, heat-conducting, selectively radiating gas in the region between the shock wave and a blunt body. The calculations are made for bodies of radius from 0.1 to 3 m with stagnation temperature from 6000° to 15 000° K. As a result of the calculations the convective and radiative thermal fluxes in the vicinity of the stagnation point are obtained. The effect of injection on convective and radiative heat transfer is studied.

The first calculations of radiative thermal fluxes in air were made about 10 years ago in [1,2]. However, the results did not take account of the effects of emission and reabsorption, nor the interaction of the convective and radiative heating processes. These effects have been studied primarily with the use of simplified models of a radiating gas. Most often the approximation used is that of a gray gas with absorption coefficient which is independent of wavelength ([3–6] and others).

The appearance in the literature of quite detailed data on the selective spectral absorption coefficients of air over a wide temperature range [7,8] has made it possible to solve the direct problem of calculating the flow field of a selectively radiating gas behind a shock wave with account for all the effects mentioned above.

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Authors and Affiliations

  1. Moscow

    N. A. Anfimov & V. P. Shari

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  1. N. A. Anfimov
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  2. V. P. Shari
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Anfimov, N.A., Shari, V.P. Solution of the equations of motion for a selectively radiating gas in a shock layer. Fluid Dyn 3, 12–16 (1968). https://doi.org/10.1007/BF01019891

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  • DOI: https://doi.org/10.1007/BF01019891

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