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Theoretical Investigations of Entropy Optimization in Electro-Magneto Nonlinear Mixed Convective Second Order Slip Flow

Journal of Magnetics, Volume 25, Number 1, 31 Mar 2020, Pages 8-14
M. Ijaz Khan * (Department of Mathematics, Riphah International University, Faisalabad Campus, Faisalabad, 38000 Pakistan), Sumaira Qayyum (Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan), S. Kadry (Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, Lebanon), W. A. Khan (School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China), S. Z. Abbas (School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China)
Abstract
Here nonlinear mixed convective entropy based nanofluid second order slip flow of magnetic and electric field
is addressed. Both electric and magnetic field is considered for the problem formulation and the flow is generated
by a stretched surface. Important slip factors, i.e., Brownian and thermophoresis diffusions are accounted.
Total entropy rate subject to four types of irreversibilities (i) heat transfer (ii) chemical reaction (iii) fluid friction
(iv) Joule or Ohmic heating is obtained through second law of thermodynamics. Thermal radiation, heat
generation/absorption, dissipation, Brownian motion, Joule or Ohmic heating and thermophoresis effects are
considered in the development of the energy equation. Activation energy to undergo the physical transportation
or chemical transformation of atoms or molecules is further considered in the analysis of concentration.
Firstly ordinary differential system is found, then numerically solved for flow field, entropy generation, concentration,
temperature, skin friction, Nusselt number, Bejan number and Sherwood number through built-in-
Shooting method.
Keywords: nonlinear mixed convection; second order velocity slip; activation energy; magnetic and electric field
DOI: https://doi.org/10.4283/JMAG.2020.25.1.008
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