Heat and Mass Transfer in Unsteady MHD Casson Fluid Flow Over a Semi-Infinite Vertical Plate Through Porous Medium with Dissipative and Radiative Effects
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Abstract
Nowadays, Casson fluid and its diverse applications are highly effective across a vast array of industrial, biological and environmental sectors, due to its unique flow properties. This study focuses on the numerical investigation of the heat and mass transfer characteristics of an unsteady incompressible Casson fluid flow over a semi-infinite vertical flat plate by considering free convection effects. The fluid is conducting the electrical current as it moves through the porous medium. The formulation of the governing equation is based on the use of this phenomenon. In the model, the formulated governing equations are converted into non-dimensional form first, and the MHD mathematical model is analyzed using the boundary conditions. The scheme of finite difference method is implemented to solve the model, where concentration profiles are also discussed. Stability and convergence criteria are applied for the accuracy of numerical techniques, and the effects of various parameters on skin friction, rate of heat and mass transfer have been examined significantly. The results indicate that the temperature of the plate increases with the increase in the value of the magnetic parameter for the Casson fluid but the reverse is observed in its limiting case. The present results are compared and checked with previously published results and a remarkable conclusion is given at the end of the study.
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M. Das, R. Mahato, R. Nandkeolyar, Newtonian heating effect on unsteady hydromagnetic Casson fluid flow past a flat plate with heat and mass transfer, Alexandria Engineering Journal, Volume 54, Issue 4, 2015, Pages 871-879, ISSN 1110-0168, doi: https://doi.org/10.1016/j.aej.2015.07.007.
A. Mahdy, Soret and Dufour effect on double diffusion mixed convection from a vertical surface in a porous medium saturated with a non-Newtonian fluid, Journal of Non-Newtonian Fluid Mechanics, Volume 165, Issues 11–12, 2010, Pages 568-575, ISSN 0377-0257. doi: https://doi.org/10.1016/j.jnnfm.2010.02.013.
R.K. Dash, K.N. Mehta, G. Jayaraman, Casson fluid flow in a pipe filled with a homogeneous porous medium, International Journal of Engineering Science, Volume 34, Issue 10, 1996, Pages 1145-1156, ISSN 0020-7225, doi: https://doi.org/10.1016/0020-7225(96)00012-2.
Shankar Goud Bejawada, Yanala Dharmendar Reddy, Wasim Jamshed, Kottakkaran Sooppy Nisar, Abdulaziz N. Alharbi, Ridha Chouikh, Radiation effect on MHD Casson fluid flow over an inclined non-linear surface with chemical reaction in a Forchheimer porous medium, Alexandria Engineering Journal, Volume 61, Issue 10, 2022, Pages 8207-8220, ISSN 1110-0168, doi: https://doi.org/10.1016/j.aej.2022.01.043.
A. Mahdy, Soret and Dufour effect on double diffusion mixed convection from a vertical surface in a porous medium saturated with a non-Newtonian fluid, Journal of Non-Newtonian Fluid Mechanics, Volume 165, Issues 11–12, 2010, Pages 568-575, ISSN 0377-0257, doi: https://doi.org/10.1016/j.jnnfm.2010.02.013
Shahzad, H., Wang, X., Ghaffari, A. et al. Fluid structure interaction study of non-Newtonian Casson fluid in a bifurcated channel having stenosis with elastic walls. Sci Rep 12, 12219 (2022). doi: https://doi.org/10.1038/s41598-022-16213-3.
R. Srinivasa Raju, B. Mahesh Reddy & G. Jithender Reddy (2017) Finite element solutions of free convective Casson fluid flow past a vertically inclined plate submitted in magnetic field in presence of heat and mass transfer, International Journal for Computational Methods in Engineering Science and Mechanics, 18:4-5, 250-265, doi: https://doi.org/10.1080/15502287.2017.1339139
Fung, Y. C., and Skalak, R. (November 1, 1981). "Biomechanics: Mechanical Properties of Living Tissues." ASME. J Biomech Eng. November 1981; 103(4): 231–298. doi: https://doi.org/10.1115/1.3138285.
Mustafa, M., Hayat, T., Pop, I. and Aziz, A. (2011) Unsteady Boundary Layer Flow of a Casson Fluid Due to an Impulsively Started Moving Flat Plate. Heat Transfer-Asian Research, 40, 563-576. http://dx.doi.org/10.1002/htj.20358
Khan H, Ali F, Khan N, Khan I and Mohamed A (2022) Electromagnetic flow of Casson nanofluid over a vertical Riga plate with ramped wall conditions. Front.Phys. 10:1005447. doi: https://doi.org/10.3389/fphy.2022.1005447.
Prameela, M., Gangadhar, K., & Reddy, G. J. (2022, June 1). MHD free convective non-Newtonian Casson fluid flow over an oscillating vertical plate. doi: https://doi.org/10.1016/j.padiff.2022.100366
Asma Khalid, Ilyas Khan, Arshad Khan, Sharidan Shafie, Unsteady MHD free convection flow of Casson fluid past over an oscillating vertical plate embedded in a porous medium, Engineering Science and Technology, an International Journal, Volume 18, Issue 3, 2015, Pages 309-317, ISSN 2215-0986, doi: https://doi.org/10.1016/j.jestch.2014.12.006.
Benazir, A. J., Sivaraj, R., & Makinde, O. D. (2015, December 1). Unsteady Magnetohydrodynamic Casson Fluid Flow over a Vertical Cone and Flat Plate with Non-Uniform Heat Source/Sink. doi: https://doi.org/10.4028/www.scientific.net/jera.21.69
Goud, B. S., Kumar, P. P., & Malga, B. S. (2020, December 1). Effect of Heat source on an unsteady MHD free convection flow of Casson fluid past a vertical oscillating plate in porous medium using finite element analysis. doi: https://doi.org/10.1016/j.padiff.2020.100015.
Sulochana, C., Poornima, M. Unsteady MHD Casson fluid flow through vertical plate in the presence of Hall current. SN Appl. Sci. 1, 1626 (2019). doi: https://doi.org/10.1007/s42452-019-1656-0.
Oyekunle, T. L., & Agunbiade, S. A. (2020, December 1). Diffusion-thermo and thermal-diffusion effects with inclined magnetic field on unsteady MHD slip flow over a permeable vertical plate. doi: https://doi.org/10.1186/s42787-020-00110-7.
B. Narsimha Reddy, P. Maddileti and B. Shashidar Reddy, Nanofluid flow on non-linearly stretching surface influenced by the combined effects of Soret and Dufour with chemical reaction, JP Journal of Heat and Mass Transfer 30 (2022), 161-182. doi: http://dx.doi.org/10.17654/0973576322062.
Hayat, T., Yasmin, H., & Al-Yami, M. (2014, January 1). Soret and Dufour effects in peristaltic transport of physiological fluids with chemical reaction: A mathematical analysis. doi: https://doi.org/10.1016/j.compfluid.2013.10.038
Krishnamurthy, M. R., Gireesha, B. J., Prasannakumara, B. C., & Gorla, R. S. R. (2016, January 1). Thermal radiation and chemical reaction effects on boundary layer slip flow and melting heat transfer of nanofluid induced by a nonlinear stretching sheet. doi: https://doi.org/10.1515/nleng-2016-0013.
Mukhopadhyay, S., & Layek, G. C. (2008, May 1). Effects of thermal radiation and variable fluid viscosity on free convective flow and heat transfer past a porous stretching surface. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2007.11.038.
Kumar, K. A., Sugunamma, V., & Sandeep, N. (2019, November 8). Effect of thermal radiation on MHD Casson fluid flow over an exponentially stretching curved sheet. doi: https://doi.org/10.1007/s10973-019-08977-0.
Mahato, R., Das, M. Effect of suction/blowing on heat-absorbing unsteady radiative Casson fluid past a semi-infinite flat plate with conjugate heating and inclined magnetic field. Pramana - J Phys 94, 127 (2020). doi: https://doi.org/10.1007/s12043-020-01990-1.
Amanulla, C., Nagendra, N., & Reddy, M. S. (2018, March 26). Computational analysis of non-Newtonian boundary layer flow of nanofluid past a semi-infinite vertical plate with partial slip doi: https://doi.org/10.1515/nleng-2017-0055.
Rao, S. N., Vidyasagar, G., & Deekshitulu, G. V. S. R. (2021, January 1). Unsteady MHD free convection Casson fluid flow past an exponentially accelerated infinite vertical porous plate through porous medium in the presence of radiation absorption with heat generation/absorption. doi: https://doi.org/10.1016/j.matpr.2020.07.554.
Raju, C. S. K., Sandeep, N., Sugunamma, V., Babu, M. R., & Reddy, J. V. R. (2016, March 1). Heat and mass transfer in magnetohydrodynamic Casson fluid over an exponentially permeable stretching surface. doi: https://doi.org/10.1016/j.jestch.2015.05.010.
Asogwa, K. K., & Ibe, A. A. (2020, August 24). A Study of MHD Casson Fluid Flow over a Permeable Stretching Sheet with Heat and Mass Transfer. doi: https://doi.org/10.9734/jerr/2020/v16i217161.
Sarma, S., & Ahmed, N. (2022, August 3). Dufour effect on unsteady MHD flow past a vertical plate embedded in porous medium with ramped temperature. doi: https://doi.org/10.1038/s41598-022-15603-x.
Shekar P, R., Narla V. K., P. K. M., & R, B. (2020). Thermal Radiation Effect on Entropy in Hydromagnetic Peristaltic Flow of a Jeffrey Nanofluid Through an Unsymmetrical Channel. In International Journal of Innovative Technology and Exploring Engineering (Vol. 9, Issue 6, pp. 2015–2021). doi: https://doi.org/10.35940/ijitee.d2046.049620
Rao B, V., Konda, Jayaramireddy, & Ganteda, C. (2019). MHD And Thermal Radiation Effects of a Nanofluid over a Stretching Sheet Using HAM. In International Journal of Recent Technology and Engineering (IJRTE) (Vol. 8, Issue 4, pp. 3489–3496). doi: https://doi.org/10.35940/ijrte.c6726.118419
Hemalatha, S. V., & Ratchagar, N. P. (2019). Modeling the Transport of Hydrocarbons in the Subsurface Environment with Chemical Reaction. In International Journal of Engineering and Advanced Technology (Vol. 9, Issue 1s4, pp. 970–973). doi: https://doi.org/10.35940/ijeat.a1205.1291s419