Radiative MHD Sutterby Nanofluid Flow Past a Moving Sheet: Scaling Group Analysis

Mohammed M. Fayyadh, Kohilavani Naganthran, Md Faisal Md Basir, Ishak Hashim and Rozaini Roslan
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Mohammed M. Fayyadh: Department of Mathematics and Statistics, Faculty of Applied Science & Technology, Universiti Tun Hussein Onn Malaysia, Pagoh 86400, Malaysia
Kohilavani Naganthran: Department of Mathematical Sciences, Faculty of Science & Technology, Universiti Kebangsaan Malaysia, UKM Bangi 43600, Malaysia
Md Faisal Md Basir: Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, UTM Johor Bahru 81310, Malaysia
Ishak Hashim: Department of Mathematical Sciences, Faculty of Science & Technology, Universiti Kebangsaan Malaysia, UKM Bangi 43600, Malaysia
Rozaini Roslan: Department of Mathematics and Statistics, Faculty of Applied Science & Technology, Universiti Tun Hussein Onn Malaysia, Pagoh 86400, Malaysia

Mathematics, 2020, vol. 8, issue 9, 1-18

Abstract: The present theoretical work endeavors to solve the Sutterby nanofluid flow and heat transfer problem over a permeable moving sheet, together with the presence of thermal radiation and magnetohydrodynamics (MHD). The fluid flow and heat transfer features near the stagnation region are considered. A new form of similarity transformations is introduced through scaling group analysis to simplify the governing boundary layer equations, which then eases the computational process in the MATLAB bvp4c function. The variation in the values of the governing parameters yields two different numerical solutions. One of the solutions is stable and physically reliable, while the other solution is unstable and is associated with flow separation. An increased effect of the thermal radiation improves the rate of convective heat transfer past the permeable shrinking sheet.

Keywords: scaling group analysis; Sutterby fluid; nanofluid; magnetohydrodynamics (MHD); stability analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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