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Magnetohydrodynamic (MHD) Flow of Micropolar Fluid with Effects of Viscous Dissipation and Joule Heating Over an Exponential Shrinking Sheet: Triple Solutions and Stability Analysis
Open AccessArticle

Hydromagnetic Flow of Micropolar Nanofluid

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School of Quantitative Sciences, Universiti Utara Malaysia, Sintok 06010, Kedah, Malaysia
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Department of Mathematics, Faculty of Science, University of Sargodha, Punjab 40100, Pakistan
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Higher Education Department (HED) Punjab 40100, Pakistan
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Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915, Vietnam
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Department of Mathematics, Cankaya University, Ankara 06790, Turkey
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Institute of Space Sciences, 077125 Magurele, Romania
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Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40447, Taiwan
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Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
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Center of Excellence for Research in Engineering Materials (CEREM), King Saud University, P.O. Box 800, Al-Riyadh 11421, Saudi Arabia
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Electrochemistry and Corrosion Laboratory, Department of Physical Chemistry, National Research Centre, El-Behoth St. 33, Dokki, Cairo 12622, Egypt
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Author to whom correspondence should be addressed.
Symmetry 2020, 12(2), 251; https://doi.org/10.3390/sym12020251
Received: 29 December 2019 / Revised: 21 January 2020 / Accepted: 28 January 2020 / Published: 6 February 2020
(This article belongs to the Special Issue Symmetry in Newtonian and Non-Newtonian Fluids)
Similar to other fluids (Newtonian and non-Newtonian), micropolar fluid also exhibits symmetric flow and exact symmetric solution similar to the Navier–Stokes equation; however, it is not always realizable. In this article, the Buongiorno mathematical model of hydromagnetic micropolar nanofluid is considered. A joint phenomenon of heat and mass transfer is studied in this work. This model indeed incorporates two important effects, namely, the Brownian motion and the thermophoretic. In addition, the effects of magnetohydrodynamic (MHD) and chemical reaction are considered. The fluid is taken over a slanted, stretching surface making an inclination with the vertical one. Suitable similarity transformations are applied to develop a nonlinear transformed model in terms of ODEs (ordinary differential equations). For the numerical simulations, an efficient, stable, and reliable scheme of Keller-box is applied to the transformed model. More exactly, the governing system of equations is written in the first order system and then arranged in the forms of a matrix system using the block-tridiagonal factorization. These numerical simulations are then arranged in graphs for various parameters of interest. The physical quantities including skin friction, Nusselt number, and Sherwood number along with different effects involved in the governing equations are also justified through graphs. The consequences reveal that concentration profile increases by increasing chemical reaction parameters. In addition, the Nusselt number and Sherwood number decreases by decreasing the inclination.
Keywords: Buongiorno mathematical model; MHD; chemical reaction; micropolar nanofluid; permeable inclined stretching sheet; Keller-Box method Buongiorno mathematical model; MHD; chemical reaction; micropolar nanofluid; permeable inclined stretching sheet; Keller-Box method
MDPI and ACS Style

Rafique, K.; Anwar, M.I.; Misiran, M.; Khan, I.; Baleanu, D.; Nisar, K.S.; Sherif, E.-S.; Seikh, A.H. Hydromagnetic Flow of Micropolar Nanofluid. Symmetry 2020, 12, 251.

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