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ENTROPY GENERATION IN MAGNETOHYDRODYNAMIC RADIATIVE NON-NEWTONIAN DISSIPATIVE CONVECTION FLOW FROM AN INCLINED PLANE: NUMERICAL STUDY

Volume 11, Issue 4, 2020, pp. 297-326
DOI: 10.1615/NanoSciTechnolIntJ.2020033849
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B. Md. Hidayathulla Khan
Department of Mathematics, Aditya College of Engineering, Madanapalle – 517325, India
Shaik Abdul Gaffar
Department of Information Technology, Mathematics Section, Salalah College of Technology, Salalah, Oman
Khalil-Ur-Rehman
Department of Mathematics, Air University, PAF Complex E-9, Islamabad 44000, Pakistan
O. Anwar Bég
Multi-Physical Engineering Sciences Group, Aeronautical and Mechanical Engineering Department, School of Science, Engineering and Environment (SEE), Newton Building, University of Salford, Manchester, M54WT, UK

ABSTRACT

A theoretical model is developed to study entropy generation in non-Newtonian magnetohydrodynamic thermal convection from an inclined plate as a simulation of electro-conductive polymer materials processing. High temperature invokes radiative effects which are analyzed with the Rosseland diffusion flux approximation. The Jeffrey's viscoelastic model is deployed to describe the non-Newtonian characteristics of the fluid and provides a good approximation for magnetic polymers, which constitutes a novelty of the present work. The normalized nonlinear boundary-value problem is solved computationally with the Keller-box implicit finite difference technique. Extensive solutions for velocity, surface temperature, skin friction, and heat transfer rate are visualized graphically for various thermophysical parameters. Validation is conducted with earlier published work for the case of a vertical plate in the absence of magnetic field, radiative flux, and non-Newtonian effects. The dimensionless entropy generation is obtained via the reduced momentum and energy equations. With increasing Deborah number, the entropy generation number is initially enhanced but thereafter reduced further from the inclined plate. The Bejan number is generally decreased with greater values of Deborah number. Both the entropy generation number and Bejan number are elevated with Reynolds number. Increasing magnetic field reduces the entropy generation number whereas it enhances the Bejan number. Increasing Brink-man number (dissipation parameter) is found to enhance the entropy generation number whereas it suppresses the Bejan number.

KEY WORDS: viscoelastic fluid, magnetohydrodynamics, thermal convection, Bejan number, entropy generation number, Hartmann number
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