Analysis of mixed convection—Radiation interaction in a vertical channel: Entropy generation

This work examines analytically the effects of radiation heat transfer on mixed convection through a vertical channel in the presence of transverse magnetic field. Both First and Second Laws of thermodynamics are applied to analyze the problem. Special focus is given on the entropy generation characteristics and its dependency on the various dimensionless parameters, i.e. Hartmann number (Ha), Plank number (Pl), Richardson number (Ri), group parameter (Br/Π) etc. A steady-laminar flow of an incompressible-viscous fluid is assumed through the channel with negligible inertia effect. Fluid is further considered as an optically thin gas and electrically conducting. Governing equations in Cartesian coordinate are solved analytically after reasonable simplifications. Expressions for velocity, temperature, local, and average entropy generation rate are derived and presented graphically.

[1]  G. Lauriat.  Combined Radiation-Convection in Gray Fluids Enclosed in Vertical Cavities , 1982 .

[2]  Ali J. Chamkha,et al.  Natural convection from an inclined plate embedded in a variable porosity porous medium due to solar radiation , 2002 .

[3]  M. Sezgin,et al.  Magnetohydrodynamic flow in a rectangular duct , 1987 .

[4]  J. A. Shercliff.  Steady motion of conducting fluids in pipes under transverse magnetic fields , 1953, Mathematical Proceedings of the Cambridge Philosophical Society.

[5]  Vedat S. Arpaci,et al.  Radiative Entropy Production—Heat Lost to Entropy , 1991 .

[6]  M. Akiyama,et al.  NUMERICAL ANALYSIS OF NATURAL CONVECTION WITH SURFACE RADIATION IN A SQUARE ENCLOSURE , 1997 .

[7]  Adrian Bejan,et al.  Second-Law Analysis in Heat Transfer and Thermal Design , 1982 .

[8]  Ahmet Selamet,et al.  Entropy production in boundary layers , 1990 .

[9]  T. C. Chawla,et al.  Combined radiation convection in thermally developing Poiseuille flow with scattering , 1980 .

[10]  Sumanta Acharya,et al.  NATURAL CONVECTION AND RADIATION IN A SQUARE ENCLOSURE , 1989 .

[11]  V. Arpaci.  Radiative entropy production , 1985 .

[12]  Ahmet Selamet,et al.  Entropy production in flames , 1988 .

[13]  T. Alboussière,et al.  Buoyancy-driven convection with a uniform magnetic field. Part 1. Asymptotic analysis , 1993, Journal of Fluid Mechanics.

[14]  Combined Radiation and Convection in Absorbing, Emitting, Nongray Gas-Particulate Tube Flow , 1987 .

[15]  A. Ghaly.  Radiation effects on a certain MHD free-convection flow , 2002 .

[16]  L. Bühler,et al.  Laminar buoyant magnetohydrodynamic flow in vertical rectangular ducts , 1998 .

[17]  N. Riley,et al.  Magnetohydrodynamic free convection , 1964, Journal of Fluid Mechanics.

[18]  J. C. R. Hunt,et al.  Magnetohydrodynamic flow in rectangular ducts , 1965, Journal of Fluid Mechanics.

[19]  A. Bejan.  A Study of Entropy Generation in Fundamental Convective Heat Transfer , 1979 .

[20]  J. Lloyd,et al.  Radiation-Natural Convection Interactions in Two-Dimensional Complex Enclosures , 1983 .

[21]  Vedat S. Arpaci,et al.  Thermal deformation : From thermodynamics to heat transfer , 2001 .