Exploring MHD-Generated Flow in a Triangular Cavity having an elliptic obstruction: Implications for Industrial Applications

Document Type : Article

Authors

1 - Faculty of Energy and power Engineering, School of Chemical Engineering and Energy Technology, Dongguan University of Technology, China - Department of Chemical Engineering and Energy Technology, University of Science and Technology. China

2 Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54770, Pakistan

3 - Faculty of Materials and Manufacturing, College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, China - Department of mechanical engineering, Lebanese American University, Beirut Lebanon

4 Faculty of Computer Science, Baoji University of Arts and Sciences, China

10.24200/sci.2025.62407.7824

Abstract

A new structural design known as “fillet” on the cavity’s edges is incorporated to enhance the computational and physical domain. For momentum, concentration, and temperature distribution, a Galerkin finite element discretization with quadratic interpolation functions is utilized, and for pressure distribution, we use linear interpolation functions. Elements in the shape of triangles and rectangles are used to discretize the domain. The PARADISO matrix factorized-based nonlinear solver and the Newton method are used to solve nonlinear discretized problems. The analysis of several factors such as Hartmann number (0-50), Rayleigh number (10^4-10^6 ), Lewis number (0.1-10), and inclination angle (0°-90°) is conducted to investigate the impact of flow on streamlines, isotherms and isoconcentration patterns and graphical and tabular representations are used to show the local heat transfer, kinetic energy, and mass fluxes. It is found that heat and mass transfer rate decreases for the variation in Hartman number, and has opposite trend for the variation in Lewis number. Our findings shed light on how DD processes behave in cavities that are exposed to magnetic fields, and they may be useful in optimizing and designing MHD devices for commercial use.

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Articles in Press, Accepted Manuscript
Available Online from 05 January 2025
  • Receive Date: 29 May 2023
  • Revise Date: 04 January 2024
  • Accept Date: 05 January 2025