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Pulsating hydromagnetic flow of Casson fluid in a vertical channel filled with non‐Darcian porous medium
Author(s) -
Kumar Challa Kalyan,
Srinivas Suripeddi
Publication year - 2021
Publication title -
heat transfer
Language(s) - English
Resource type - Journals
eISSN - 2688-4542
pISSN - 2688-4534
DOI - 10.1002/htj.22121
Subject(s) - porous medium , mechanics , darcy number , pulsatile flow , partial differential equation , ordinary differential equation , flow (mathematics) , joule heating , fluid dynamics , mathematics , porosity , materials science , physics , thermodynamics , mathematical analysis , convection , differential equation , natural convection , rayleigh number , medicine , cardiology , composite material
This paper analyzes the Joule heating, Dufour number, and Soret number effects on hydromagnetic pulsatile flow of a Casson fluid in a vertical channel filled with a non‐Darcian porous medium. The governing partial differential equations (PDEs) of the Casson fluid flow are transformed to ordinary differential equations (ODEs) using perturbation technique and solved by employing shooting method with Runge–Kutta (R–K) fourth‐order technique using MATHEMATICA function NDSolve. The influence of Forchheimer number, Casson fluid parameter, Dufour number, radiation parameter, and Soret number on flow variables has been studied and the numerical results obtained are presented. The results reveal that the velocity rises with the rise of Darcy number, whereas it decreases for a given rise in the Forchheimer number. Furthermore, the temperature distribution enhances by increasing the Dufour number.