Radiative heat transfer to hydromagnetic flow of a slightly rarefied binary gas in a vertical channel

Details Radiative heat transfer to hydromagnetic flow of a slightly rarefied binary gas in a vertical channel Radiative heat transfer to hydromagnetic flow of a slightly rarefied binary gas in a vertical channel

Mar 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992ap%26ss.189..303b&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 189, no. 2, March 1992, p. 303-308.

Astronomy and Astrophysics

Astrophysics

1

Magnetohydrodynamic Flow, Radiative Heat Transfer, Rarefied Gas Dynamics, Reentry Effects, Channel Flow, Fredholm Equations, Gas Mixtures, Navier-Stokes Equation, Volterra Equations, Wentzel-Kramer-Brillouin Method

Scientific paper

The paper considers the fully-developed slip flow in a vertical channel with radiative heat transfer and mass transfer in the presence of an externally applied magnetic field. The problem is modeled by the compressible Navier-Stokes equations, so that the gas is only slightly rarefied. Invoking the exact integral equation for radiation, the problem is reduced to a set of ordinary integro-differential equations. By realistic assumptions, the set is linearized and the temperature is reduced to a mixed Fredholm-Volterra integral equation which is solved by standard iterative procedure. Thereafter the concentration equation is solved by the WKB approximation while the velocity is obtained by the finite difference scheme. These solutions are discussed qualitatively.

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