# Hydromagnetic free convection heat transfer of a viscous incompressible electrically conducting heat generating fluid‐flow past a vertical porous plate in the presence of free‐stream oscillations. I

**ABSTRACT** Unsteady hydromagnetic boundary layer flow past a non‐conducting infinite vertical porous plate in presence of a transverse magnetic field is considered, taking into account the effect of the heat sources on the free convection‐flow and heat transfer of a viscous incompressible and electrically conducting fluid. The flow is subjected to a constant suction through the porous plate, and the difference between the plate temperature and the free stream is taken greater, equal or less than zero. The free stream oscillates in time about a constant mean value and the magnetic Reynolds number is taken to be small enough so that the induced magnetic field is negligible. Analytical expressions for the mean velocity, the mean temperature and their related quantities are obtained. The influence of the various dimensionless parameters entering into the problem is extensively discussed. A comparative study with the hydrodynamic case is also made whenever necessary.

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- Proceedings of The Royal Society A 07/1955; 231(1184):116-130. DOI:10.1098/rspa.1955.0160 · 2.00 Impact Factor
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**ABSTRACT:**This paper examines large-scale nonlinear thermal convection in a rotating selfgravitating sphere of Boussinesq fluid containing a uniform distribution of heat sources. Conservative finite-difference forms of the equations of axisymmetric laminar motion are marched forward in time. The surface is assumed to be stress free and at constant temperature. Numerical solutions are obtained for Taylor numbers in the range 0 [less-than-or-equal] Λ [less-than-or-equal] 104 and Rayleigh numbers with \[ R_c \leqslant R\lesssim 10R_c. \] For high Prandtl number (P > 5) the solutions are steady and most of them resemble the solutions of the linear stability equations, though other steady solutions are also found. For P [less, similar] 1, the steady solutions have horizontal wavenumber l = 1 and nearly uniform angular momentum per unit mass, rather than nearly uniform angular velocity. This rotation law seems to be independent of many details of the model and may hold in the convective core of a rotating star.Journal of Fluid Mechanics 05/1976; 75(01):49 - 79. DOI:10.1017/S0022112076000128 · 2.29 Impact Factor -
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**ABSTRACT:**This book presents the fundamentals of, and details of application in, thermal science. In this fourth edition the chapters on forced convection, free convection, heat exchange and thermal radiation have undergone extensive revision. Modern correlations have replaced older ones and new analytical techniques are presented. The end-of-chapter problems and the examples have been extensively revised and increased. An appendix of the thermophysical properties of engineering materials and fluids is included which contains materials unavailable elsewhere. Application of the fundamentals to the solution of real engineering problems is stressed throughout.