Velocity Slip Effect on Unsteady Magnetohydrodynamic (MHD) Flow of Casson Fluid in the presence of Soret and Heat Source Mechanisms
DOI:
https://doi.org/10.62054/ijdm/0203.01Trefwoorden:
Velocity slip; MHD; Casson fluid; Soret and Heat SourceSamenvatting
Velocity slip effect on unsteady Magnetohydrodynamic (MHD) flow of Casson fluid in the presence of Soret and heat source mechanisms has been studied. The governing equations are: momentum, energy and mass equations. The governing partial differential equations (PDEs) of the problem are transformed from dimensional to dimensionless forms using appropriate variables. The non-linear coupled PDEs are solved analytically by regular perturbation method to obtain the velocity, temperature and concentration of the fluid. The coefficients for skin-friction, Nusselt and Sherwood numbers were also derived. Computations were performed for important flow parameters viz. Thermal diffusion (Soret), heat source parameter, magnetic field parameter, Prandtl number, thermal radiation, thermal and mass Grashof number and Schmidt number which were graphically shown and discussed. The obtained results have been validated with published studies. The most significant conclusion of this work is that as Soret number and Casson parameter increase the velocity of the fluid becomes higher while a reverse trend is seen as heat source parameter is increased. Additionally, the mass boundary layer of the fluid rises due to an increase in Soret parameter while an opposite trend is observed in the temperature of the fluid because of increase in the heat source.
Referenties
Ahmad, S., Ul Haq, S., Ali, F., Khan, I. and Sayed M. Eldin, S.M. (2023). Free convection channel flow of couple stress Casson fluid: A fractional model using Fourier’s and Fick’s laws. Frontiers in Physics. 1-3. doi: 10.3389/fphy.2023.1031042.
Ahmad, A. & Sarki, M. N. (2023). Slip condition effects on unsteady MHD fluid flow with radiative heat flux over a porous medium. Advances in Pure Mathematics, 13, 153-166. https://doi.org/10.4236/apm.2023.13300
Akolade, M. T., Idowu, A. S., & Adeosun, A. T. (2021). Multislip and Soret–Dufour influence on nonlinear convection flow of MHD dissipative casson fluid over a slendering stretching sheet with generalized heat flux phenomenon. Heat transfer, 50(4), 3913-3933. https://doi.org/10.1002/htj.22057
Anwar, T., Kumam, P. & Watthayu, W. (2021). Unsteady MHD natural convection flow of Casson fluid incorporating thermal radiative flux and heat injection/suction mechanism under variable wall conditions. Journal of scientific reports. 11,4275. https://doi.org/10.1038/s41598-021-83691-2.
Babu, R.S., Venkateswarlu, S., Lakshmic, J.K. (2018). Effect of magnetic field and radiation on MHD heat and mass transfer of micropolar fluid over stretching sheet with Soret and Dufour effects. International Journal of Applied Engineering Research. 13(12), 10991–11000. ISSN 0973-4562. http://www.ripublication.com
Casson, N. (1959). A flow equation for pigment-oil suspensions of the printing ink type. Rheology of Disperse Systems.
Chaudhary, H., Singh, N., Roshan, M., Yadav, P. K., & Saleem, S. (2025). Modeling of magnetohydrodynamic Casson fluid flow due to moving permeable plate with Soret and Dufour impacts. Journal of the Korean Physical Society, 1-24. https://doi.org/10.1007/s40042-025-01301-0
Goud, B. S. & Reddy, Y. D. (2022). Chemical reaction and Soret effect on an unsteady MHD heat and mass transfer fluid flow along an infinite vertical plate with radiation and heat absorption. Journal of the Indian Chemical Society, 99. https://doi.org/10.1016/j.jics.2022.100762.
Goud, B. S., Reddy, Y. D., & Asogwa, K. K. (2023). Chemical reaction, Soret and Dufour impacts on magnetohydrodynamic heat transfer Casson fluid over an exponentially permeable stretching surface with slip effects. International Journal of Modern Physics B, 37(13), https://doi.org/10.1142/S0217979223501242.
Jangida, S. and Kolla, K. (2025). Magnetic field and Soret effect on mixed convection Williamson fluid flow between two concentric cylinders using artificial neural network. European Physical Journal Plus. 140:220 https://doi.org/10.1140/epjp/s13360-025-06175-6.
Kataria, H. R. and Patel, H. R. (2019). Effects of chemical reaction and heat generation/absorption on magnetohydrodynamic (MHD) Casson fluid flow over an exponentially accelerated vertical plate embedded in porous medium with ramped wall temperature and ramped surface concentration. Propulsion and power research. 8(1):35-46. https//doi.org/10.1016/j.jppr.2018.12.001.
Kodi, R., & Mopuri, O. (2022). Unsteady MHD oscillatory Casson fluid flow past an inclined vertical porous plate in the presence of chemical reaction with heat absorption and Soret effects. Heat Transfer, 51(1), 733-752.https://doi.org/10.1002/htj.22327
Krishna, M. V., & Reddy, B. P. (2025). Thermal radiation, heat source, and chemical reaction impacts on MHD convective flow of casson fluid past an infinite inclined oscillating vertical porous plate. Multiscale and Multidisciplinary Modeling, Experiments and Design, 8(3), 196. https://doi.org/10.1007/s41939-025-00774-7
Manthramurthy, P., & Vempati, S. R. (2025). Significance of multiple slips and thermal radiation on heat and mass transfer in MHD Casson nanofluid flow over an exponentially stretching porous sheet with non-uniform heat source and sink. Multiscale and Multidisciplinary Modeling, Experiments and Design, 8(3), 1-18. https://doi.org/10.1007/s41939-025-00743-0
Ojemeri, G. and Onwubuya, I. O. (2023). Analysis of mixed convection flow on arrhenius-controlled heat generating/absorbing fluid in a superhydrophobic microchannel: A semi-Analytical Approach, Dutse. Journal of Pure and Applied Sciences. 9, 344-357. https://doi.org/104314/dujopas.v9i2a.34.
Ojemeri, G., Onwubuya I. O., Omokhuale, E., Hussaini A. and Shuaibu, A. (2024). Analytical investigation of arrhenius kinetics with heat source/sink impacts along a heated superhydrophobic microchannel. UMYU Scientifica, 3(1), 61-71. DOI: https://doi.org/105619/usci.2431.004.
Patel, H. R. (2025). Soret and heat generation effects on unsteady MHD Casson fluid flow in porous medium. Waves in Random and Complex Media, 35(1), 1172-1195. https://doi.org/10.1080/17455030.2022.2030500
Rajakumar, K. V.B., Pavan Kumar, V. S. R., Balamurugan, K. S. and Bharat, V. K. (2020). Unsteady MHD Casson dissipative fluid flow past a semi-infinite vertical porous plate with radiation absorption and chemical reaction in presence of heat generation. Journal of Mathematical Modelling of Engineering Problems. 7(1), 160172. https://doi.org/10.18280/mmep.070120.
Raju, R. S., Reddy, G. J., Raoc, J. A. and Rashidi, M. M. (2016). Thermal diffusion and diffusion thermo effects on an unsteady heat and mass transfer magnetohydrodynamic natural convection couette flow using FEM. Journal of Computational Design and Engineering. 3, 349–362. https://dx.doi.org/10.1016/j.jcde.2016.06.003.
Srinivas, S., Kumar, C. K., & Reddy, A. S. (2022). Dufour and Soret effects on pulsatile hydromagnetic flow of Casson fluid in a vertical non-Darcian porous space. Nonlinear Analysis: Modelling and Control, 27(4), 669-683. https://doi.org/10.15388/namc.2022.27.26678
Usman, H., Uwanta I. J. and Sanusi, Z. (2022). Thermal diffusion and diffusion- thermo effects on ohmic heating with MHD free convective flow past a vertical porous plate in the presence of viscous dissipation. Nigerian Journal of mathematics and Applications. 32(1), 259-285.
Uwanta, I. J. and Hamza, M. M. (2014). Unsteady flow of reactive viscous, heat generating/absorbing fluid with soret and variable thermal conductivity. International Journal of Chemical Engineering. https://doi.org/10.1155/2014/291857.
Ullah, I., Khan, I., & Shafie, S. (2017). Soret and Dufour effects on unsteady mixed convection slip flow of Casson fluid over a nonlinearly stretching sheet with convective boundary condition. Scientific Reports, 7(1), 1113. https://doi.org/10.1038/s41598-017-01205-5
Vinod, Y., Suma N. N., Raghunatha, K. R. and Sangamesh (2024). Dufour and Soret effects on double diffusive Casson fluid flow with the influence of internal heat source. Journal of Umm Al-Qura University for Applied Sciences. Pp 1-5. https://doi.org/10.1007/s43994-024-00133-1.
##submission.downloads##
Gepubliceerd
Nummer
Sectie
Licentie
Copyright (c) 2025 International Journal of Development Mathematics (IJDM)
Dit werk wordt verdeeld onder een Naamsvermelding 4.0 Internationaal licentie.
Authors are solely responsible for obtaining permission to reproduce any copyrighted material contained in the manuscript as submitted. Any instance of possible prior publication in any form must be disclosed at the time the manuscript is submitted and a
copy or link to the publication must be provided.
The Journal articles are open access and are distributed under the terms of the Creative
Commons Attribution-NonCommercial-NoDerivs 4.0 IGO License, which permits use,
distribution, and reproduction in any medium, provided the original work is properly cited.
No modifications or commercial use of the articles are permitted.
