Optimization of MHD Flow of Radiative Micropolar Nanofluid in a Channel by RSM: Sensitivity Analysis

Reham A. Alahmadi, Jawad Raza (), Tahir Mushtaq, Shaimaa A. M. Abdelmohsen, Mohammad R. Gorji and Ahmed M. Hassan
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Reham A. Alahmadi: Basic Science Department, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh 11673, Saudi Arabia
Jawad Raza: Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari 61100, Pakistan
Tahir Mushtaq: Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari 61100, Pakistan
Shaimaa A. M. Abdelmohsen: Department of Physics, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Mohammad R. Gorji: Faculty of Medicine and Health Sciences, Ghent University, 9000 Ghent, Belgium
Ahmed M. Hassan: Department of Mechanical Engineering, Future University in Egypt, New Cairo 11835, Egypt

Mathematics, 2023, vol. 11, issue 4, 1-21

Abstract: These days, heat transfer plays a significant role in the fields of engineering and energy, particularly in the biological sciences. Ordinary fluid is inadequate to transfer heat in an efficient manner, therefore, several models were considered for the betterment of heat transfer. One of the most prominent models is a single-phase nanofluid model. The present study is devoted to solving the problem of micropolar fluid with a single-phase model in a channel numerically. The governing partial differential equations (PDEs) are converted into nonlinear ordinary differential equations (ODEs) by introducing similarity transformation and then solved numerically by the finite difference method. Response surface methodology (RSM) together with sensitivity analysis are implemented for the optimization analysis. The study reveals that sensitivity of the skin friction coefficient ( Cf x ) to the Reynolds number ( R ) and magnetic parameter ( M ) is positive (directly proportional) and negative (inversely proportional) for the micropolar parameter.

Keywords: micropolar fluid; nanofluid; thermal radiation; response surface methodology; sensitivity analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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