Numerical solutions for magneto-convective boundary layer slip flow from a nonlinear stretching sheet with wall transpiration and thermal radiation effects

Alzahrani, Faris; Beg, OA; Ferdows, M.

Abstract

A mathematical model is presented for magnetohydrodynamic viscous incompressible flow of an
electrically conducting Newtonian polymeric fluid from a moving permeable horizontal stretching
sheet with variable magnetic field, momentum and thermal slip boundary conditions. The
temperature difference between the wall and the environment is assumed to vary with the axial
distance according to power law forms. The governing boundary layer equations with associated
boundary conditions are transformed into similarity equations using robust transformations
developed via Lie group algebraic analysis. The emerging nonlinear ordinary differential boundary
value problem is solved numerically by the Runge-Kutta-Fehlberg fourth-fifth order numerical
method in Maple symbolic software. The effects of the governing parameters on the dimensionless
stream function, dimensionless flow velocity and the dimensionless temperature have been
investigated, displayed graphically and discussed. It is found that greater momentum slip and
magnetic field parameters reduce the dimensionless velocity. It is further observed that higher
values of Prandtl number, thermal slip, and conduction-radiation parameter (weaker radiation
contribution) reduce the dimensionless temperature whilst stronger magnetic field increases the
temperature due to the supplementary work expended in dragging the polymer against the action
of the magnetic field which is dissipated as heat. Comparisons of numerical results with previous
published results show an excellent agreement. The study finds applications in electro-conductive
polymer (ECP) processing systems.

Citation

Alzahrani, F., Beg, O., & Ferdows, M. (in press). Numerical solutions for magneto-convective boundary layer slip flow from a nonlinear stretching sheet with wall transpiration and thermal radiation effects. Numerical Heat Transfer, Part A Applications, 1-15. https://doi.org/10.1080/10407782.2022.2163945

• Journal Article Type: Article
• Acceptance Date: Nov 23, 2022
• Online Publication Date: Apr 11, 2024
• Deposit Date: Jan 10, 2023
• Journal: Numerical Heat Transfer, Part A: Applications
• Print ISSN: 1040-7782
• Electronic ISSN: 1521-0634
• Publisher: Taylor and Francis
• Pages: 1-15
• DOI: https://doi.org/10.1080/10407782.2022.2163945
• Keywords: Condensed Matter Physics, Numerical Analysis
• Publisher URL: https://www.tandfonline.com/journals/UNHT
• Additional Information: Funders : Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, Saudi Arabia; Projects : Computation of smart magnetic polymer coating dynamics; Grant Number: KEP-58-130-42