Title: Thermosolutal mixed convection flow in a vertical pipe with heat generation/absorption and hydromagnetic effects

Authors: Saurabh Kapoor; Durgaprasad Nayak

Addresses: Department of Science and Mathematics, Regional Institute of Education (NCERT), Bhubaneswar, India ' Department of Mathematics, Regional Institute of Education, Utkal University, Bhubaneswar, India

Abstract: This manuscript investigates thermosolutal mixed convection flow in a vertical pipe within a porous medium, subject to a transverse magnetic field. The fluid is considered to be fully developed, electrically conducting, and heat-generating/absorbing. The non-Darcy Brinkman-Forchheimer-extended model is used to characterise the flow in the porous medium. Numerical solutions for the coupled differential equations are obtained using the Chebyshev spectral-collocation approach. It is observed that, under limiting conditions, our numerical results show good agreement with existing numerical data. The impact of various parameters, such as the Hartmann number (M), heat absorption/generation parameter (Q), and Forchheimer number (F), on the velocity, temperature, and concentration profiles has been analysed. An unusual deviation is observed in both the velocity and temperature profiles beyond a certain value of the heat generation parameter. Initially, increasing the magnetic field strength reduces the fluid velocity. However, beyond a threshold, the velocity profile flattens across the domain, while the temperature profile increases and the concentration profile decreases. Elevated drag forces within the medium result in smoother and flatter velocity profiles. An increase in the heat absorption parameter leads to higher peak temperatures and concentrations.

Keywords: porous medium; heat generation/absorption parameter; Hartmann number; spectral collocation method.

DOI: 10.1504/PCFD.2026.152118

Progress in Computational Fluid Dynamics, An International Journal, 2026 Vol.26 No.2, pp.125 - 135

Received: 13 Dec 2024
Accepted: 05 Jul 2025
Published online: 09 Mar 2026 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article