Numerical study of magnetohydrodynamic natural convection in a non-Darcian porous enclosure filled with electrically conducting helium gas

Beg, OA; Venkatadri, K; Prasad, VA; Beg, TA; Leonard, HJ; Gorla, RSR; Rajarajeswari, P

Abstract

A theoretical and computational study of MHD natural convection in an isotropic non-Darcian porous medium saturated with electrically conducting helium gas in an enclosure in the presence of heat generation is presented. A Brinkman extended Darcy-Forchheimer model is employed and the working fluid is assumed to be incompressible. The model is non-dimensionalised and converted into pressure-velocity form. The Harlow-Welch marker and cell (MAC) finite difference technique is employed to solve the nonlinear boundary value problem via pressure-vorticity coupling. A parametric investigation of the influence of Grashof number (Gr), Hartmann magnetic number (Ha), Darcy number (Da), and the internal heat generation parameter () on streamline and isotherm distributions with Prandtl number (Pr) is
0.71 (Helium) is conducted. The variation in local Nusselt number along the left and right walls of the computational 2D enclosure is also studied. Validation house-computational numerical MATLAB code is tests are included. Local Nusselt number is elevated at both left and right walls with greater Darcy number (higher medium permeability) and Grashof number. However, with greater internal heat generation, local Nusselt number magnitudes are enhanced at the left (cold) wall only but suppressed at the right (hot) wall. Increasing magnetic field reduces local Nusselt number at both left and right walls. With increasing magnetic field, the single vortex is strongly distorted and skewed towards the top left and lower right corners of the enclosure. Temperature contours at the left and right wall are however less intense with greater magnetic field effect. The simulations are of relevance to hybrid electromagnetic gaseous fuel cells, magnetic field control of filtration processes and porous media materials processing systems.

Citation

Beg, O., Venkatadri, K., Prasad, V., Beg, T., Leonard, H., Gorla, R., & Rajarajeswari, P. (2022). Numerical study of magnetohydrodynamic natural convection in a non-Darcian porous enclosure filled with electrically conducting helium gas. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, https://doi.org/10.1177/09544062211003624

• Journal Article Type: Article
• Acceptance Date: Feb 21, 2021
• Online Publication Date: Jan 21, 2022
• Publication Date: Jan 21, 2022
• Deposit Date: Feb 23, 2021
• Publicly Available Date: Feb 23, 2021
• Journal: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
• Print ISSN: 0954-4062
• Electronic ISSN: 2041-2983
• Publisher: SAGE Publications
• DOI: https://doi.org/10.1177/09544062211003624
• Publisher URL: https://doi.org/10.1177/09544062211003624
• Related Public URLs: http://www.uk.sagepub.com/journals/Journal202017
• Additional Information: Access Information : This is an Accepted Manuscript of an article which has been accepted for publication in Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. Users who receive access to an article through a repository are reminded that the article is protected by copyright and reuse is restricted to non-commercial and no derivative uses. Users may also download and save a local copy of an article accessed in an institutional repository for the user's personal reference.