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Open AccessArticle

Stability Analysis and Dual Solutions of Micropolar Nanofluid over the Inclined Stretching/Shrinking Surface with Convective Boundary Condition

School of Quantitative Sciences, Universiti Utara Malaysia, Sintok 06010, Malaysia
KCAET Khairpur Mirs, Sindh Agriculture University, Tandojam Sindh 70060, Pakistan
Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur 65200, Pakistan
Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915, Vietnam
Department of Mathematics, Cankaya University, Ankara 06790, Turkey
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40447, Taiwan
Institute of Space Sciences, 077125 Magurele-Bucharest, Romania
Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
Author to whom correspondence should be addressed.
Symmetry 2020, 12(1), 74;
Received: 30 November 2019 / Revised: 23 December 2019 / Accepted: 24 December 2019 / Published: 2 January 2020
(This article belongs to the Special Issue Symmetry in Newtonian and Non-Newtonian Fluids)
The present study accentuates the heat transfer characteristics of a convective condition of micropolar nanofluid on a permeable shrinking/stretching inclined surface. Brownian and thermophoresis effects are also involved to incorporate energy and concentration equations. Moreover, linear similarity transformation has been used to transform the system of governing partial differential equations (PDEs) into a set of nonlinear ordinary differential equations (ODEs). The numerical comparison has been done with the previously published results and found in good agreement graphically and tabular form by using the shooting method in MAPLE software. Dual solutions have been found in the specific range of shrinking/stretching surface parameters and the mass suction parameter for the opposing flow case. Moreover, the skin friction coefficient, the heat transfer coefficient, the couple stress coefficient, and the concentration transfer rate decelerate in both solutions against the mass suction parameter for the augmentation of the micropolar parameter respectively. The first (second) solution is the stable (unstable) solution and can (not) be considered as a real solution as the values of the smallest eigenvalues are positive (negative). View Full-Text
Keywords: micropolar nanofluid; inclined plane; dual solutions; stability analysis micropolar nanofluid; inclined plane; dual solutions; stability analysis
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MDPI and ACS Style

Lund, L.A.; Omar, Z.; Khan, U.; Khan, I.; Baleanu, D.; Nisar, K.S. Stability Analysis and Dual Solutions of Micropolar Nanofluid over the Inclined Stretching/Shrinking Surface with Convective Boundary Condition. Symmetry 2020, 12, 74.

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