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# 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

Journal of the Chinese Institute of Engineers 03/1981; 4:61-70. DOI: 10.1080/02533839.1981.9676670

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- Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences 01/1955; 231(1184):116-130. · 2.38 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. · 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.

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