Abstract
This study presents a numerical investigation of heat and mass transfer in a vertical channel considering the combined effects of temperature-dependent viscosity, thermal radiation, and suction. The objective is to understand how these factors influence velocity, temperature, and concentration distributions, which are critical in heat and mass transfer applications. The governing nonlinear differential equations were formulated, non-dimensionalized, and solved using the finite difference method, with MATLAB employed for coding and simulation. Results are reported through graphical and tabular analyses. The findings reveal that fluid velocity decreases with a reduction in the Grashof number, whereas higher Prandtl numbers enhance both velocity and temperature. An increase in the radiation parameter broadens the velocity field, while greater Schmidt numbers reduce both velocity and concentration. Overall, the results provide new insight into the interplay of variable viscosity, radiation, and suction in convective transport, offering practical relevance for engineering systems involving heat exchangers, porous media flows, and radiative environments.
Keywords
Selected References
Ahmed, N., Awais, M., & Arif, M. (2021). Finite element simulation of curved channel MHD
convection with thermal radiation. Alexandria Engineering Journal, 60(6), 5339–5351.
https://doi.org/10.1016/j.aej.2021.04.056 Alharbi, S. O., Khan, W. A., & Gorla, R. S. R. (2014). Lateral mass flux and thermal radiation
effects on natural convection with Soret and Dufour effects in porous media. Journal of King Saud University – Engineering Sciences, 26(2), 161–170.
https://doi.org/10.1016/j.jksues.2013.05.002 Bao, J., Li, X., & Zhao, W. (2023). Freeze range in helium-chilled copper tubes following sudden
vacuum loss. International Journal of Heat and Mass Transfer, 207, 123467.
https://doi.org/10.1016/j.ijheatmasstransfer.2023.123467 Das, K., Jana, S., & Kundu, P. K. (2020). MHD free convection flow in a vertical channel with
radiation. Heat Transfer, 49(8), 5129–5145. https://doi.org/10.1002/htj.21900 Elgazery, N. S. (2011). Radiation effects on MHD convection in porous media. Applied Mathematics and Computation, 217(12), 5362–5374.
https://doi.org/10.1016/j.amc.2010.11.089 Ferdousi, R., Rahman, M. M., & Alam, M. S. (2013). Effects of variable viscosity and radiation
on natural convection in a porous medium with internal heat generation. Nonlinear Analysis: Modelling and Control, 18(2), 151–163.
https://doi.org/10.15388/NA.2013.18.2.14325 Hossain, M. A., & Wilson, M. (2003). Unsteady natural convection flow past an impulsively
started vertical plate. International Journal of Thermal Sciences, 42(8), 777–783.
https://doi.org/10.1016/S1290-0729(03)00059-7 Ivanova, M., Petrov, A., & Zhang, Y. (2024). A unified approach for rapid mass transfer in
binary systems. Astrophysical Journal, 950(1), 35. https://doi.org/10.3847/1538-4357/acd456 Kumar, R., & Singh, P. (2022). Improved numerical schemes for convection–radiation problems in
porous media. Journal of Computational and Applied Mathematics, 404, 113793.
https://doi.org/10.1016/j.cam.2021.113793 Li, Z., Chen, Q., & He, Y. (2020). Lattice Boltzmann simulation of unsteady convection with wall
roughness. Physics of Fluids, 32(12), 123601. https://doi.org/10.1063/5.0033165 Mahdy, A., & Chamkha, A. J. (2019). Darcy dissipation effects on mixed convection with
radiation. Journal of Porous Media, 22(5), 455–470. https://doi.org/10.1615/JPorMedia.2019029745 Makinde, O. D., & Ogulu, A. (2008). Radiation and variable viscosity effects on MHD free
convection in a porous medium. International Communications in Heat and Mass Transfer, 35(4), 508–513.
https://doi.org/10.1016/j.icheatmasstransfer.2007.09.014 Raptis, A., & Perdikis, C. (2006). Thermal radiation effects on viscous flow past a
semi-infinite vertical plate. International Journal of Applied Mechanics and Engineering, 11(2), 289–297. Roy, N. C., Debnath, S., & Alam, M. S. (2021). Unsteady MHD free convection in a vertical
channel with thermal radiation. Mathematics and Computers in Simulation, 185, 82–94.
https://doi.org/10.1016/j.matcom.2021.01.015 Wang, B., Xu, J., & Li, H. (2022). Shear flow over staggered herringbone microstructures:
Lattice Boltzmann simulations. International Journal of Heat and Mass Transfer, 188, 122636.
https://doi.org/10.1016/j.ijheatmasstransfer.2022.122636 Zaheer, T., & Tasawar, H. (2007). Radiation effects on boundary layer flow and heat transfer
over a vertical plate. Communications in Nonlinear Science and Numerical Simulation, 12(6), 791–803.
https://doi.org/10.1016/j.cnsns.2005.11.007References