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Entropy Optimized Hydro-Magnetic Flow Darcy-Forchheimer Viscous Fluid

Journal of Magnetics, Volume 26, Number 2, 30 Jun 2021, Pages 175-181
Ying-Qing Song (College of Science, Hunan City University), Sohail. A Khan * (Department of Mathematics, Quaid-I-Azam University 45320), M. Ijaz Khan (Department of Mathematics and Statistics, Riphah International University I-14), M. Y. Malik (Department of Mathematics, College of Sciences, King Khalid University), Ali S. Alqahtani (Department of Mathematics, College of Sciences, King Khalid University)
Abstract
Here hydromagnetic flow of an incompressible Dary-Forchheimer fluid over a curved stretching surface is
addressed. Heat source/sink and dissipation effects are considered in heat equation. Entropy generation is discussed
through thermodynamics law. Bejan number is calculated. The proposed system are modeled in curvilinear
coordinates. Partial differential system are reduced to ordinary one through transformation. ND-solve
method is implemented to solve the given system. Graphical outcomes of velocity, entropy rate, temperature
and Bejan number against flow variables are discussed. Numerical outcomes of drag force against pertinent
variables are examined through table. Higher Hartman number decreases velocity field. A reverse effect for
velocity is observed through porosity and curvature variables. An improvement in temperature is seen for curvature
variable. An augmentation in entropy rate is noted for Brinkman number.
Keywords: darcy-forchheimer flow; curved stretching surface; heat source/sink; viscous dissipation; entropy generation and bejan number
DOI: https://doi.org/10.4283/JMAG.2021.26.2.175
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