MHD Casson Fluid Flow in Stagnation-Point over an Inclined Porous Surface

Authors

  • Leelavathi R Department of Mathematics, Andhra Loyola Institute of Engineering and Technology, Vijayawada, 520008, India
  • Seethamahalakshmi Vyakaranam Department of Engineering Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, 522302, India
  • Rao TS Department of Engineering Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, 522302, India
  • Venkata Ramana Reddy Gurrampati Koneru Lakshmaiah Education Foundation
  • Abayomi Samuel Oke Department of Mathematical Sciences, Adekunle Ajasin University, Akungba-Akoko, Nigeria

DOI:

https://doi.org/10.37934/cfdl.16.4.6984

Keywords:

MHD, Stagnation Point, Viscous dissipation, chemical reaction, Thermal radiation

Abstract

Motivated by the need to comprehend and optimize complex fluid flow phenomena in various engineering and industrial applications, this paper investigates the magnetohydrodynamic (MHD) Casson fluid flow characteristics in the vicinity of a stagnation point over an inclined porous surface. The study addresses the interplay of permeability, viscous dissipation, buoyancy, and volumetric heat source, chemical reaction of the diffusion species, thermal slip, and obliqueness at the bounding surface. The governing equations are transformed into a dimensionless form using appropriate similarity transformations. The resulting nonlinear ordinary differential equations are solved numerically using the fourth-order Runge-Kutta method, coupled with the shooting technique as coded into the bvp4c solver of MATLAB 2021a. Findings from this study show that instability arises due to reduced velocity at low permeability, and Biot number enhances the Newtonian cooling at the surface, a requirement for the design of heat exchangers.

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Author Biographies

Leelavathi R, Department of Mathematics, Andhra Loyola Institute of Engineering and Technology, Vijayawada, 520008, India

drrlv2021@aliet.ac.in

Seethamahalakshmi Vyakaranam, Department of Engineering Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, 522302, India

seethamahalakshmi1997@gmail.com

Rao TS, Department of Engineering Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, 522302, India

tagallamudi_me@kluniversity.in

Venkata Ramana Reddy Gurrampati, Koneru Lakshmaiah Education Foundation

gvrr1976@gmail.com

Abayomi Samuel Oke, Department of Mathematical Sciences, Adekunle Ajasin University, Akungba-Akoko, Nigeria

abayomi.oke@aaua.edu.ng

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Published

2024-01-04

How to Cite

R, L., Vyakaranam, S., TS, R., Gurrampati, V. R. R., & Samuel Oke, A. (2024). MHD Casson Fluid Flow in Stagnation-Point over an Inclined Porous Surface . CFD Letters, 16(4), 69–84. https://doi.org/10.37934/cfdl.16.4.6984

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