Numerical computing of Soret and linear radiative effects on MHD Casson fluid flow toward a vertical surface through a porous medium: Finite element analysis

Author:

Alrehili Mohammed F.1,Goud B. Shankar2,Reddy Y. Dharmendar2,Mishra S. R.3,Lashin Maha M. A.4,Govindan Vediyappan5ORCID,Pimpunchat Busayamas6

Affiliation:

1. Department of Mechanical Engineering, Faculty of Engineering, University of Tabuk, P. O. Box 741, Tabuk 71491, Saudi Arabia

2. Department of Mathematics, JNTUH College of Engineering Hyderabad, Kukatpally, Hyderabad, Telangana 500085, India

3. Department of Mathematics, Siksha ‘O’ Anusandhan Deemed to be University, Khandagiri Square, Bhubaneswar 751030, Odisha, India

4. College of Engineering, Princess Nourah bint Abdulrahaman University, Riyadh, Saudi Arabia

5. Department of Mathematics, DMI St. John the Baptist University, 800 Central Africa, Malawi

6. Department of Mathematics, School of Science, King Mongkut’s Institute of Technology, Ladkrabang (KMITL), Bangkok 10520. Thailand

Abstract

In this work, we investigate the time-dependent MHD free convection of Casson fluid across a vertical semi-infinite plate fitted inside a permeable medium, along with viscous dissipation, radiation absorption, and Soret effect by using several non-dimensional variables. The characteristics of a variety of elements influencing the flow phenomenon are examined using the Casson fluid model. The governing dimensional partial differential equations are transformed into an ordinary differential equation set by introducing the similarity variables. The reduced model is numerically solved via the Galerkin finite element method. The non-dimensional equations with suitable boundary conditions can be mathematically simplified using the efficient Galerkin finite element approach. The restrictions are shown numerically and graphically, and their effects on temperature, velocity, species concentration, and rate coefficients are all shown. This study is to present the influence of radiation absorption along with viscous dissipation on the heat transfer phenomenon. For different flow parameter estimations, graphs are generated for various flow profiles as well as skin friction coefficients. The Nusselt (Nu) and Sherwood (Sh) quantities are also demonstrated via graphs.

Funder

Princess Nourah bint Abdulrahman University Researchers

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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