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Entropy and radiation on a pipe MHD flow with variable viscosity
Author(s) -
AbdelRahman Rashed Gamal M.
Publication year - 2021
Publication title -
heat transfer
Language(s) - English
Resource type - Journals
eISSN - 2688-4542
pISSN - 2688-4534
DOI - 10.1002/htj.21948
Subject(s) - bejan number , mechanics , magnetohydrodynamic drive , magnetohydrodynamics , ordinary differential equation , nonlinear system , physics , shooting method , partial differential equation , heat transfer , classical mechanics , entropy (arrow of time) , mathematical analysis , mathematics , differential equation , thermodynamics , boundary value problem , magnetic field , nusselt number , reynolds number , turbulence , quantum mechanics
Abstract The present work, the entropy generation due to radiation and variable viscosity magnetohydrodynamic effects with a porous medium in a circular pipe, has been obtained and studied numerically. The governing continuity, momentum, and energy equations in cylindrical coordination are converted into a system of nonlinear ordinary differential equations by means of similarity transformation. The resulting system of coupled nonlinear ordinary differential equations is solved numerically by a Runge‐Kutta method and shooting technique. Numerical results are presented for velocity, temperature profiles, pressure profile, entropy generation rates, and Bejan number for different physical parameters of the problem. Also, the effects of the pertinent parameters on the skin friction and the rate of heat transfer are obtained and discussed numerically and illustrated graphically.