HEAT AND MASS TRANSFER FLOW THROUGH POROUS MEDIUM WITH VARIABLE THERMAL CONDUCTIVITY AND SUCTION EFFECTS
Abstract
This study investigates heat and mass transfer flow through a porous medium with variable thermal conductivity and suction effects. Unsteady natural convection with magnetic field, radiation and pressure gradient were considered. Perturbation method was employed to derive analytical expressions for the dimensionless velocity, temperature, and concentration profiles. The influence of key dimensionless parameters—including variable thermal conductivity, temperature and mass buoyancy parameters (), magnetic field strength, suction parameter, Darcy number (), mass Grashof numbers (), radiation parameter (), Prandtl number (), chemical reaction rate (), Schmidt number (), and pressure gradient —were analyzed in detail. Results showed: increased in , (), (), (), and () enhanced velocity while , () and suppressed it. Temperature rises with increased , () and () but decreased with and (). Species concentration decreased with stronger (), () and (). Additionally, Skin friction (), Nusselt number () and Sherwood number () exhibited significant sensitivity to variations in the governing parameters. The findings provided valuable insight into flow behavior in porous media with applications in geophysics, chemical engineering, and energy systems.
References
Abdullahi, A., & Mahamoudi, Y. (2020). Effect of variable thermal conductivity on heat transfer. Journal of Applied and Computational Mathematics 3, (2): 48 56 https://doi.org/10.1168/j.acl.20140302.12
Bejan, A. (2013). Convection heat transfer (4th ed.). Wiley. [Chapter 2: Scaling and Non-dimensional Parameters]
Bird, R. V., Stewart W. E., & Lightfoot E. N. (2002). Transport phenomena (2nd Ed.) John Wiley & Sons.
Cengel, Y. A., & Boles, M. A. (2020). Thermodynamics: An integrated approach (8TH Ed.). McGraw-Hill Education. ISBN 978-126043333
Dekker, Mercel (2000). Handbook of porous media. New York. Basel, Switzerland
Incropera, F. P., & DeWitt D. P. (2018). Fundamentals of heat and mass transfer. John Willey & Sons
Ingham, D. B., & Pop, I. (2017). Transport phenomena in porous media. Elsevier.
Kaita, I. H., Zayyanu, S. Y., Masud, L., Hamisu, A., Abdullahi, U. & Auwal, D. M. (2024). Heat and mass transfer flow in a channel filled with porous medium in the presence of variable thermal conductivity. FUDMA Journal of Sciences (FJS), https://doi.org/10.33003/fjs-2024-0802-2236.
Kaviany, M. (2012). Principles of heat transfer in porous media. Springer-Verlag.
Kuznetsov, A. V., & Nield, D. A. (2013). Heat transfer in a channel filled with a Porous Medium: Effects of variable thermal conductivity. International. Journal of Heat and Mass Transfer, 66, 772-781.
Mahmoudi, Y., Karimi, N., & Mazaheri, K. (2017). Mass transfer in a channel filled with a porous medium: effects of variable thermal conductivity. Transport in Porous Media, 116(2), 257-273.
Nasrin, R. & Alim, M. A. (2009). MHD Free convection flow along a vertical flat plate with thermal conductivity and viscosity depending on temperature. Journal of Naval Architecture and Marine Engineering, 6:72-83. https://www.researchgate.net/publication/285136857
Nield, D. A. & Bejan, A. (2017). Convection in Porous Media, Fifth Edition. Springer, New York. https://link.springer.com/book/10.1007/978-3-319-49562-0
Nayfeh, A. H. (2000). Perturbation methods. John Wiley & Sons.
Rashidi, S. & Esfahani, J. A. (2019). Variable thermal conductivity on heat transfer in porous channel. Journal of Porous Media, 22(3), 257-271.
Rashidi, S. & Esfahani, J. A. (2020). Suction effect on heat transfer in porous media. Journal of Thermal Analysis, 23(5), 457-471
Singh, P. & Kumar, V. (2020). Variable thermal conductivity and suction effect on heat transfer in porous channel. Journal of Thermal Science and Engineering Applications, 12(2), 021001.
Singh, P., Kumar, V., & Gupta, M. (2019). Numerical study of heat transfer in a channel filled with a porous medium: Effects of suction. Journal of Porous Media, 22(10), 931-944.
Singh, R., & Kasana, H.S. (2019). Thermal conductivity of porous media: A review. Journal of porous media 22(1), 1-15.
Copyright (c) 2025 FUDMA JOURNAL OF SCIENCES
This work is licensed under a Creative Commons Attribution 4.0 International License.
FUDMA Journal of Sciences
