Stability Analysis of Unsteady MHD Rear Stagnation Point Flow of Hybrid Nanofluid

Nurul Amira Zainal, Roslinda Nazar, Kohilavani Naganthran and Ioan Pop
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Nurul Amira Zainal: Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia (UKM), Bangi 43600, Malaysia
Roslinda Nazar: Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia (UKM), Bangi 43600, Malaysia
Kohilavani Naganthran: Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia (UKM), Bangi 43600, Malaysia
Ioan Pop: Department of Mathematics, Babeş-Bolyai University, R-400084 Cluj-Napoca, Romania

Mathematics, 2021, vol. 9, issue 19, 1-15

Abstract: Previous studies have reported that investigating the stagnation point flow is relevant in a variety of industrial and technological processes, including extrusion and the polymer industries. Hence, the present work aims to analyse the heat transfer performance of unsteady magnetohydrodynamics (MHD) in hybrid nanofluid and heat generation/absorption impact. The multivariable differential equations with partial derivatives are converted into a specific type of ordinary differential equations by using valid similarity transformations. The resulting mathematical model is clarified utilising the bvp4c function. The results of various control parameters were analysed, and it was discovered that increasing the nanoparticle concentration and magnetic field increases the coefficient of skin friction along the stretching/shrinking surface. The inclusion of the heat generation parameter displays an upward trend in the temperature distribution profile, consequently degrading the heat transfer performance. The findings are confirmed to have more than one solution, and this invariably leads to a stability analysis, which confirms the first solution’s feasibility.

Keywords: magnetohydrodynamics; heat generation/absorption; stretching/shrinking surface; stability analysis; hybrid nanofluid (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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