Convective micropolar fluid over inclined surface with thermal radiation and velocity slip condition effects: Duality and stability

Author:

Deebani Wejdan1,Lund Liaquat Ali2,Chandio Abdul Fattah3,Yashkun Ubaidullah4,Shah Zahir5ORCID,Alshehri Ahmed6

Affiliation:

1. Department of Mathematics, College of Science & Arts, King Abdul Aziz University, Rabigh Saudi Arabia

2. KCAET Khairpur Mirs, Sindh Agriculture University, Tandojam Sindh 70060, Pakistan

3. Department of Electronic Engineering, Quaid-E-Awam University of Engineering, Science & Technology Nawabshah, Sindh, Pakistan

4. Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur, Pakistan

5. Department of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat 28420, Khyber Pakhtunkhwa, Pakistan

6. Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589 Saudi Arabia

Abstract

This research examines the flow of 2D micropolar fluid across an inclined linear shrinking/stretching surface with suction, convective, slip and thermal radiation impact. The governing partial differential equations (PDEs) are transformed into an ordinary differential equations (ODEs) system using a linear similarity transformation, and the bvp4c technique is then used to solve the ODEs system in MATLAB. Comparisons of both solutions are presented. The effects of regulating flow parameters on dimensionless temperature profiles, angular velocity, velocity, skin friction, wall couple stress and heat transfer are shown graphically. Stable velocity profiles are inversely related to velocity slip and material parameter. For a given suction and stretching/shrinking parameter value, graphs show double solutions. The couple stress and skin friction in the first solution, drop then increase as the material parameter [Formula: see text] increases. Critical points of the stretching/shrinking parameter, [Formula: see text] where both solutions occur, are indicated by the symbols [Formula: see text] (i.e., [Formula: see text], and that there is no solution when [Formula: see text]. A table summarizes the stability study’s results and highlights.

Funder

Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah,

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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