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

Symmetry

Umair Khan¹  Dumitru Baleanu²  KottakkaranSooppy Nisar³  Ilyas Khan⁴  LiaquatAli Lund⁵  Zurni Omar⁵ 

[1] Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur 65200, Pakistan;Department of Mathematics, Cankaya University, Ankara 06790, Turkey;Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia;Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915, Vietnam;School of Quantitative Sciences, Universiti Utara Malaysia, Sintok 06010, Malaysia;

关键词: micropolar nanofluid;    inclined plane;    dual solutions;    stability analysis;   

DOI  :  10.3390/sym12010074

来源: DOAJ

【 摘 要 】

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).

【 授权许可】

Unknown