Effect of Variable Thermal Conductivity on Oscillatory Magnetized Couette Flow in a Channel Filled with Porous Material
DOI:
https://doi.org/10.56919/usci.2434.017Keywords:
Oscillatory Flow, Magnetized Flow, Couette Flow, Porous Material, Variable Thermal ConductivityAbstract
Study’s Excerpt
- The influence of temperature-dependent thermal properties on oscillatory magnetic Couette fluid flows within a porous channel is investigated.
- New analytical expressions for key fluid flow characteristics, including velocity, temperature, and concentration are provided.
- The findings revealed that variations in thermal conductivity enhance heat transfer efficiency, reduce thermal boundary layer thickness, and significantly affect temperature gradients.
Full Abstract
The primary purpose of this study is to determine how temperature-dependent thermal properties affect oscillatory magnetic Couette fluid flows in a channel containing porous materials. A regular perturbation approach was used to analytically characterize the flow fluid boundary conditions of the governing equations. The expressions of velocity, temperature, concentration, skin friction, Nusselt number, and Sherwood number have been obtained, and the results are displayed graphically for various controlling parameters of the models. The results show that varying thermal conductivity on fluid flow of the model of both Nu0 and Nu1 enhanced heat transfer efficiency, reduction in thermal boundary layer thickness of the fluid leading to an increase in convective heat transfer coefficient and increase in the temperature gradients near the bottom plate and near the top plate respectively.
References
Abiodun, O. A. and Kabir, T. M. (2020).The combine effect of variable viscosity and variable thermal conductivity on natural convection couette flow. International Journal of thermo fluids, 5-6. https://doi.org/10.1016/j.ijft.2020.100036
Agaie, B. G., Ndayawo, M. S., Usman, S., & Polytechnic, K. (2020). Unsteady Magneto Poiseuille Oscillatory Flow Between Two Infinite Parallel Porous Plates.15(2),56–61.
Amos, S. I., Mojeed T. A., Abubakar, Jos U. and Bidemi. O. F. (2020) MHD free convective heat and mass transfer flow of dissipative casson fluid with variable viscosity and thermal conductivity . Journal of Taibah University For Science, 14(1), 851-862. https://doi.org/10.1080/16583655.2020.1781431
Anuraddha, S. and Priyadhashini, P. (2016). MHD Free Convection Boundary Layer Flow of a Nanofluid Over a Permeable Shrinking Sheet in the Presence of Thermal Radiation &Chemical Reaction. Chemical and Process Engineering Research,46,18-26
Babu, P. R., Rao, J. A. and Sheri, S. (2014). The effect of radiation on MHD heat and mass transfer flow over a shrinking sheet with suction. Jounal of applied fluid mechanics, 7(4),641- 650. https://doi.org/10.36884/jafm.7.04.21389
Falade, J. A., Ukaegbu, J. C., Egere, A. C., & Adesanya, S. O. (2017). MHD oscillatory flow through a porous channel saturated with porous medium. Alexandria Engineering Journal, 56(1), 147–152. https://doi.org/10.1016/j.aej.2016.09.016
Gireesha, B. J. and Rudraswamy, N. G., (2014). The effect of Chemical reaction on MHD flow and heat transfer of a nanofluid near the stagnation point over a permeable stretching surface with non-uniform heat source/ sink. International Journal of Engineering, Science and Technology, 6(5),13-25. https://doi.org/10.4314/ijest.v6i5.2
Kareem, R. A and Salawu, S. O. (2017). The effects on Variable viscosity and Thermal conductivity effect of soret and dufour on inclined magnetic field in Non-Darcy Permeable Medium with dissipation. Journal of Mathematics and Computer Science, 22(3), 1-12. https://doi.org/10.9734/BJMCS/2017/33669
Karwa, R. (2020). Heat and mass transfer. Heat and Mass Transfer, 59(10), 1–1147. https://doi.org/10.1007/978-981-15-3988-6_1
Khaled, A. A., & Vafai. (2004). The effect of the slip condition on Stokes and Couette flows due to an oscillating wall: Exact solutions. International Journal of Non-Linear Mechanics, 39(5), 795–809. https://doi.org/10.1016/S0020-7462(03)00043-X
Makinde, O., D., Eegunjobi, A., S., and Tshehla, M., S. (2015). Thermodynamics Analysis of Variable Viscosity Hydro magnetic Couette Flow in a Rotating System with Hall Effects. Entropy, 17: 7811-7826. https://doi.org/10.3390/e17117811
Makinde, O., D., Tshehla, M., S., Iskander, T., Khan, W., A., and Mabood, F. (2016). MHD Couette-Poiseuille flow of variable viscosity Nano-fluids in a rotating permeable channel with Hall effects. Journal of Molecular Liquids, 221: 778–787. https://doi.org/10.1016/j.molliq.2016.06.037
Narsu, Silva kumar. And Rushikumar, B., (2020). The effect of MHD Chemically reacting unsteady flow over a radiated sheet with partial slip and variable thermal conductivity.AIP Conference Proceedings.1-10.
Noor, N. A. M., Admon, M. A., & Shafie, S. (2022). Unsteady MHD Squeezing Flow of Casson Fluid Over Horizontal Channel in Presence of Chemical Reaction. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 92(2), 49–60. https://doi.org/10.37934/arfmts.92.2.4960
Noor, N. A. M., Shafie, S., & Admon, M. A. (2021). Impacts of chemical reaction on squeeze flow of MHD Jeffrey fluid in horizontal porous channel with slip condition. Physica Scripta, 96(3). https://doi.org/10.1088/1402-4896/abd821
Prakash, O. M., Makinde, O. D., Kumar, D., & Dwivedi, Y. K. (2015). Heat transfer to MHD oscillatory dusty fluid flow in a channel filled with a porous medium. Sadhana - Academy Proceedings in Engineering Sciences, 40(4), 1273–1282. https://doi.org/10.1007/s12046-015-0371-9
Prakash, O., & Makinde, O. D. (2015a). MHD oscillatory Couette flow of dusty fluid in a channel filled with a porous medium with radiative heat and buoyancy force. Latin American Applied Research, 45(3), 185–191. https://doi.org/10.52292/j.laar.2015.396
Prakash, O., & Makinde, O. D. (2015b). Stokes’ second problem. Latin American Applied Research, 45(3), 185–191. https://doi.org/10.52292/j.laar.2015.396
Quader, A. and Alam, M. (2021). Effect of unsteady MHD free Convective heat and mass transfer flow through a semi-infinite vertical porous plate in a rotating system with combined soret and dufour effects in the Presence of Hall current and constant heat flux. Journal of Applied Mathematics and Physics, 9, 1611-1638. https://doi.org/10.4236/jamp.2021.97109
Rajashekar, M.N and Shankar Goud, B (2016). The effects of Chemical reaction on an unsteady MHD heat and mass transfer flow past a semi- infinite vertical porous moving plate in the presence of viscous dissipation. International Journal of Engineering Trends and Technology (IJETT), 42(8), 1-15. https://doi.org/10.14445/22315381/IJETT-V42P278
Romanelli, G., Mignone, A., & Cervone, A. (2017). Pulsed fusion space propulsion: Computational Magneto-Hydro Dynamics of a multi-coil parabolic reaction chamber. ActaAstronautica, 139(October)528-544. https://doi.org/10.1016/j.actaastro.2017.07.045
Salawu, S. O., Abolarinwa, A., & Fenuga, O. J. (2020). Transient analysis of radiative hydromagnetic poiseuille fluid flow of two-step exothermic chemical reaction through a porous channel with convective cooling. Journal of Computational and Applied Research in Mechanical Engineering,10(1), 51-62. https://doi.org/10.22061/jcarme.2019.3986.1473
Seddek, M. A., and Salema, F. A. (2007). The effects of temperature dependent viscosity and thermal conductivity on unsteady MHD convective heat transfer past a semi- infinite vertical porous plate with variable suction. Computational Material Science,40(2),186- 192. https://doi.org/10.1016/j.commatsci.2006.11.012
Sharma, B. K., Sharma, P. K., & Chauhan, S. K. (2022a). Effect of MHD on Unsteady Oscillatory Couette Flow Through Porous Media. International Journal of Applied Mechanics and Engineering, 27(1), 188–202. https://doi.org/10.2478/ijame-2022-0012
Sharma, T., Sharma, P., Seikh, A. H., Iqbal, A., & Kumar, N. (2023). Thermodynamical study of chemically-reactive and thermal-radiative magnetized oscillatory Couette flow in a porous medium filled channel. Case Studies in Thermal Engineering, 48. https://doi.org/10.1016/j.csite.2023.103136
Uddin, M., & Murad, A. (2022). Stokes ’ second problem and oscillatory Couette flow for a two-layer fluid : Analytical solutions. Alexandria Engineering Journal, 61(12), 10197–10218. https://doi.org/10.1016/j.aej.2022.03.023
Umavathi, J. C., & Anwar Bég, O. (2020). Effects of thermophysical properties on heat transfer at the interface of two immisicible fluids in a vertical duct: Numerical study. International Journal of Heat and Mass Transfer, 154(June), 1–9. https://doi.org/10.1016/j.ijheatmasstransfer.2020.119613
UwantaI . J and Hamza M .M., (2014). Effect of suction / injection on unsteady hydromantic convective flow of reactive viscous fluid between vertical porous plates with thermal diffusion .Hindawi International Scholarly Research Notices,1—14. https://doi.org/10.1155/2014/980270
Uwanta I. J. and Usman H. (2014).Effect of Variable thermal conductivity on heat and mass transfer flow over a vertical channel with magnetic field intensity.Journal of Applied and Computational Mathematics. 3(2),48-56.
Zubi, M. Al. (2018). MHD Heat and Mass Transfer of an Oscillatory Flow over a Vertical Permeable Plate in a Porous Medium with Chemical Reaction. Modern Mechanical Engineering, 08(03), 179–191. https://doi.org/10.4236/mme.2018.83012
Zulkarnain, M., Sharudin, R. W. (2022). Towards understanding of pore properties of polystyrene-b-polybutadiene-b-polystyrene (SEBS) foam effect on thermal conductivity using numerical analysis. International Journal of Technology,13(3), 533–543. https://doi.org/10.1016/j.asej.2015.07.012
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