A mathematical model of the unstable natural convective magnetohydrodynamic boundary layer flow of Casson fluid near an inclined oscillating perpendicular plate in a rotating porous medium has been studied. The field is uniformly transverse. The study incorporates heat production, absorption, and thermal emission and aims to accurately solve the prevailing non-dimensional partial differential equations using the Laplace transform method. The analysis focuses on key parameters like the magnetic field (M), heat absorption (Q), permeability (K), Prandtl number (P_r), Schmidt number (S_c), thermal radiation (R), Casson fluid parameter, Grashof numbers (G_r and G_c) permeation time (t), and porous medium parameter (K). These attributes encompass the influence of quickness, thermal conditions, and concentration profiles. An increase in the Casson fluid parameter and other Grashof parameters results in elevated velocity values. Regarding the magnetic field characteristic,  a reversal in the trend has been noted. Results would ideally be optimally configured for application specific needs such as oil recovery and industrial cooling. It can be sensible to work with complex geometries, non-linear effects, and transient behavior to arrive at simulations that more accurately reflect real-life scenarios in these applications.

MHD Casson fluid, porous medium, radiation effects, heat generation, inclined vertical plate, oscillating boundary

Received: September 29, 2024; Revised: January 28, 2025; Accepted: April 10, 2025

How to cite this article: R. Raju, A. Selvaraj, S. Dilip Jose and K. Chithra, Effects of radiation and heat generation on MHD Casson fluid flowing in a porous medium rotating on an inclined oscillating vertical plate, JP Journal of Heat and Mass Transfer 38(3) (2025), 315-339. https://doi.org/10.17654/0973576325016

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References:
[1] N. Amar, N. Kishan and B. Shankar Goud, Viscous dissipation and radiation effects on MHD heat transfer flow of Casson fluid through a moving wedge with convective boundary condition in the existence of internal heat generation/absorption, Journal of Nanofluids 12(3) (2023), 643-651.
https://doi.org/10.1166/jon.2023.1948.
[2] Emmanuel Maurice Arthur, Ibrahim Yakubu Seini and Letis Bortey Bortteir, Analysis of Casson fluid flow over a vertical porous surface with chemical reaction in the presence of magnetic field, Journal of Applied Mathematics and Physics 3(6) (2015), 713-723. http://dx.doi.org/10.4236/jamp.2015.36085.
[3] A. Selvaraj and E. Jothi, Heat source impacts on MHD and radiation absorption fluid flow past an exponentially accelerated vertical plate with exponentially variable temperature and mass diffusion through porous medium, Materials Today: Proceeding 46(9) (2021), 3490-3494.
https://doi.org/10.1016/j.matpr.2020.11.919.
[4] M. Bhavana, D. Chenna Kesavaiah and A. Sudhakaraiah, The Soret effect on free convective unsteady MHD flow over a vertical plate with heat source, International Journal of Innovative Research Science Engineering and Technology 2(5) (2013), 1617-1628.
[5] Dharmendar Reddy Yanala, Bejawada Shankar Goud and Kottakkaran Sooppy Nisar, Influence of chemical reaction and heat generation/absorption on unsteady magneto Casson nanofluid flow past a non-linear stretching Riga plate with radiation, Case Studies in Thermal Engineering 50 (2023), 103494.
https://doi.org/10.1016/j.csite.2023.103494.
[6] S. P. Devi and J. W. S. Anjali Raj, Thermo diffusion effects on unsteady hydromagnetic free convection flow with heat and mass transfer past a moving vertical plate with time dependent suction and heat source in a slip flow regime, Int. J. Appl. Math. and Mech. 7 (2011), 20-51.
[7] S. Dilip Jose and A. Selvaraj, Convective heat and mass transfer effects of rotation on parabolic flow past an accelerated isothermal vertical plate in the presence of chemical reaction of first order, JP Journal of Heat and Mass Transfer 24(1) (2021), 191-206. http://dx.doi.org/10.17654/HM024010191.
[8] D. Maran, A. Selvaraj, M. Usha and S. Dilip Jose, First order chemical response impact of MHD flow past an infinite vertical plate with in the sight of exponentially with variable mass diffusion and thermal radiation, Materials Today: Proceedings 46(9) (2021), 3302-3307.
https://doi.org/10.1016/j.matpr.2020.11.464.
[9] Hari R. Kataria and Harshad R. Patel, 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) (2019), 35-46. https://doi.org/10.1016/j.jppr.2018.12.001.
[10] J. Hartmann, Hg-dynamics I theory of the laminar flow of an electrically conductive liquid in a homogeneous magnetic field, Det. Kal. Dan. Vid. Sel. Mat. Medd. 15 (1937), 1-27.
https://gymarkiv.sdu.dk/MFM/kdvs/mfm%2010-19/mfm-15-6.pdf.
[11] Dzuliana Fatin Jamil, Salah Uddin, Mohsin Kazi, Rozaini Roslan, M. R. Gorji and Mohd Kamalrulzaman Md Akhir, MHD blood flow effects of Casson fluid with Caputo-Fabrizio fractional derivatives through an inclined blood vessels with thermal radiation, Heliyon 9 (2023), e21780.
https://doi.org/10.1016/j.heliyon.2023.e21780.
[12] Hari R. Kataria and Harshad R. Patel, Soret and heat generation effects on MHD Casson fluid flow past an oscillating vertical plate embedded through porous medium, Alexandria Engineering Journal 55(3) (2016), 2125-2137.
https://doi.org/10.1016/j.aej.2016.06.024.
[13] J. L. McGregor, The application of the minimal energy hypothesis to a Casson fluid, The Bulletin of Mathematical Biophysics 32(2) (1970), 249-262.
https://doi.org/10.1007/BF02476889.
[14] A. V. Mernone, J. N. Mazumdar and S. K. Lucas, A mathematical study of peristaltic transport of a Casson fluid, Math. Comput. Modelling 35(7-8) (2002), 895-912. https://doi.org/10.1016/S0895-7177(02)00065-7.
[15] S. Rama Mohan, G. Viswanatha Reddy and S. V. K. Varma, Dufour and radiation absorption effects on unsteady MHD free convection Casson fluid flow past an exponentially infinite vertical plate through porous medium, J. Emerging Technol. Innov. Res. 6 (2019), 485-512.
[16] C. Arruna Nandhini, S. Jothimani and Ali J. Chamkha, Combined effect of radiation absorption and exponential parameter on chemically reactive Casson fluid over an exponentially stretching sheet, Partial Differential Equations in Applied Mathematics 8 (2023), 100534.
https://doi.org/10.1016/j.padiff.2023.100534.
[17] K. R. Raghunatha, Y. Vinod, Suma Nagendrappa Nagappanavar and Sangamesh, Unsteady Casson fluid flow on MHD with an internal heat source, Journal of Taibah University for Science 17(1) (2023), 2271691.
https://doi.org/10.1080/16583655.2023.2271691.
[18] S. Dilip Jose and A. Selvaraj, Effects of parabolic flow past an accelerated isothermal vertical plate with heat and mass diffusion in the presence of rotation, Int. J. Aquatic Science 12(3) (2021), 256-263.
https://doi.org/10.17654/hm024010191.
[19] A. Selvaraj, S. Dilip Jose, R. Muthucumaraswamy and S. Karthikeyan, MHD parabolic flow past an accelerated isothermal vertical plate with heat and mass diffusion in the presence of rotation, Materials Today: Proceedings 46(9) (2021), 3546-3549. https://doi.org/10.1016/j.matpr.2020.12.499.
[20] A. Sindhu, A. Selvaraj and S. Dilip Jose, Analysis on rotational impacts of parabolic flow past an accelerated isothermal vertical plate with variable temperature and uniform mass diffusion, Advances and Applications in Mathematical Sciences 21(11) (2022), 6373-6384.
https://doi.org/10.1007/978-981-33-4389-4_38.
[21] E. Jothi, A. Selvaraj, S. Dilip Jose, A. Neel Armstrong and S. Karthikeyan, Effect of MHD and radiation absorption fluid flow past an exponentially accelerated vertical plate with variable temperature and concentration, S. L. Peng, R. X. Hao and S. Pal, eds., Proceedings of first International Conference on Mathematical Modelling and Computational Science, Advances in Intelligent Systems and Computing 1292 (2021), 429-439.
https://doi.org/10.1007/978-981-33-4389-4_39.
[22] S. Dilip Jose, A. Selvaraj, R. Muthucumaraswamy, S. Karthikeyan and E. Jothi, MHD-parabolic flow past an accelerated isothermal vertical plate with variable temperature and uniform mass diffusion in the presence of rotation, S. L. Peng, R. X. Hao and S. Pal, eds., Proceedings of First International Conference on Mathematical Modelling and Computational Science, Advances in Intelligent Systems and Computing 1292 (2021), 417-428.
https://doi.org/10.1007/978-981-33-4389-4_38.
[23] D. Lakshmikaanth, A. Selvaraj, L. Tamilselvi, S. D. Jose and V. Velukumar, Hall and heat source effects of flow state on a vertically accelerating plate in an isothermal environment, including chemical reactions, rotation, radiation, and the Dufour effect, JP Journal of Heat and Mass Transfer 37(4) (2024), 491-520. https://doi.org/10.17654/0973576324034.
[24] S. D. Jose, K. Selvaraj, P. N. Sudha, P. Geetha and D. Lakshmikaanth, Heat and mass transfer effects on parabolic flow past an accelerated isothermal vertical plate in the presence of chemical reaction and hall current, JP Journal of Heat and Mass Transfer 35 (2023), 55-74. https://doi.org/10.17654/0973576323042.
[25] D. Lakshmikaanth, A. Selvaraj, P. Selvaraju and S. D. Jose, Hall and heat source effects of flow past a parabolic accelerated isothermal vertical plate in the presence of chemical reaction and radiation, JP Journal of Heat and Mass Transfer 34 (2023), 105-126.
[26] M. Aruna, A. Selvaraj, S. Dilip Jose and S. Karthikeyan, Influence on MHD-parabolic flow across a vertical plate is triggered by a rotating fluid with uniform temperature and variable mass diffusion in the absence of Hall and Dufour effects, European Chemical Bulletin 12 (2023), 1123-1132.