Al-Qadisiyah Journal for Engineering Sciences

Influence of Joule heating and exponential heat source on the cassonfluid flow through a thermally graded permeable medium

Document Type : Research Paper

Authors

Ganugapati Raghavendra Ganesh 1
Shaik Jaffrullah 2
Wuriti Sridhar 3
Khaled Al-Farhany 4, 5
Mohamed F. Al-Dawody 4
Mujtaba A. Flayyih 6

1 Department of Mathematics, PVP Siddhartha Institute of Technology, Kanuru, Vijayawada, A.P., India.

2 Department of Mathematics, Amrita Sai Institute of Science and Technology, Paritala, NTR Dist, A.P., India.

3 Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Guntur, India.

4 Department of Mechanical Engineering, College of Engineering, University of Al-Qadisiyah, Al-Qadisiyah, Iraq.

5 College of Engineering, University of Warith Al-Anbiyaa, Karbala, Iraq.

6 Biomedical Engineering Department, College of Engineering and Technologies, Al-Mustaqbal University, Hillah, Iraq

https://doi.org/10.30772/qjes.2025.163822.1687
Abstract
The work aims to investigate the MHD Casson fluid flow over an exponentially long sheet via a thermally stratified permeable medium. All facets of chemical processes, Joule heating, and exponential heat sources are covered in this subject. By using the appropriate similarity conversions, the leading partial differential equations (PDEs) of the model are transformed into a set of nonlinear ordinary differential equations (ODEs). The description of the previous technique was made simpler by applying the Keller Box methodology. The results reveal that when the viscosity factor is increased, the velocity profile improves, but when the thermal profile improves, the opposite trending impact is evident. The temperature profile exhibits the opposite tendency, despite a decline in the number of observations of the Casson fluid constraint. Joule heating parameters allow for more precise measurements of the heat source's properties by raising the temperature. The concentration graph shows a reduction as the number of observations for the chemical reaction parameter increases. The validity of the problem is investigated by computing the Nusselt number for cumulative Prandtl number observations and comparing the results with the literature.

Keywords

Casson fluid
Porous media
Thermal stratification
MHD
Joule heating
Exponential heat source
Chemical reaction
Crossmark
  • Shenoy, “Non-newtonian fluid heat transfer in porous media,” Advances in Heat transfer, vol. 24, pp. 101–190, 1994. [Online]. Available: https://doi.org/10.1016/S0065-2717(08)70233-8
  • J. Chamkha and J. M. Al-Humoud, “Mixed convection heat and mass transfer of non-newtonian fluids from a permeable surface embedded in a porous medium,” International Journal of Numerical Methods for Heat Fluid Flow,, vol. 17, no. 2, pp. 195–212, 2007. [Online]. Available: https://doi.org/10.1108/09615530710723966
  • Kairi and P. Murthy, “Effect of viscous dissipation on natural convection heat and mass transfer from vertical cone in a non-newtonian fluid saturated non-darcy porous medium,” Applied Mathematics and Computation, vol. 217, no. 20, p. 8100–8114, 2011. [Online]. Available: http://dx.doi.org/10.1016/j.amc.2011.03.013
  • Gorla, S. Asghar, M. Hossain, W. Khan, and S. Mukhopadhyay, “Heat and mass transfer in non-newtonian fluids,” Advances in Mechanical Engineering, vol. 6, p. 104392, 2014. [Online]. Available: https://doi.org/10.1155/2014/104392
  • Sinha and G. C. Shit, “Role of slip velocity on the oscillatory flow of blood through a porous vessel in the presence of heat source and chemical reaction,” Journal of Mechanics, vol. 30, no. 2, pp. 209–218, 2014. [Online]. Available: https://doi.org/10.1017/jmech.2014.15
  • El-Dabe, A. Ghaly, R. Rizkallah, K. Ewis, and A. Al-Bareda, “Numerical solution of mhd boundary layer flow of non-newtonian casson fluid on a moving wedge with heat and mass transfer and induced magnetic field,” Journal of Applied Mathematics and Physics, vol. 3, no. 6, pp. 649–663, 2015. [Online]. Available: https://doi.org/10.4236/jamp.2015.36078
  • Singh and R. Yadav, “Investigation of heat transfer of nonnewtonian fluid in the presence of a porous wall,” International Journal of Engineering Technologies and Management Research, vol. 4, no. 12, pp. 74–92, 2017. [Online]. Available: https://doi.org/10.29121/ijetmr.v4.i12.2017.137
  • Vajravelu, K. Prasad, H. Vaidya, N. Basha, and O. Ng, “Mixed convective flow of a casson fluid over a vertical,” . Math. Comp, vol. 184, pp. 864–873, 2007. [Online]. Available: https://doi.org/10.1007/s40819-016-0203-6
  • Attia and M. E. Sayed-Ahmed, “Transient mhd couette flow of a casson fluid between parallel plates with heat transfer,” Italian Journal of pure and applied Mathematics, vol. 27, 2010.
  • Shehzad, T. Hayat, M. Qasim, and S. Asghar, “Effects of mass transfer on mhd flow of casson fluid with chemical reaction and suction,” Brazilian Journal of Chemical Engineering, vol. 30, no. 1, pp. 187–195, 2013. [Online]. Available: https://doi.org/10.1590/S0104-66322013000100020
  • Gireesha, B. Mahanthesh, and M. M. Rashidi, “Mhd boundary layer heat and mass transfer of a chemically reacting casson fluid over a permeable stretching surface with non-uniform heat source/sink,” Int. J. Industrial Mathematics, vol. 7, no. 3, pp. 247–260, 2015. [Online]. Available: Availableonlineathttp://ijim.srbiau.ac.ir/
  • L. Animasaun, “Effects of thermophoresis, variable viscosity and thermal conductivity on free convective heat and mass transfer of non-darcian mhd dissipative casson fluid flow with suction and nth order of chemical reaction,” Journal of the Nigerian Mathematical Society, vol. 34, no. 1, pp. 11–31, 2015. [Online]. Available: https://doi.org/10.1016/j.jnnms.2014.10.008
  • Hussanan, M. Z. Salleh, H. Alkasasbeh, and I. Khan, “Mhd flow and heat transfer in a casson fluid over a nonlinearly stretching sheet with newtonian heating,” Heat transfer research, vol. 49, no. 12, pp. 1185–1198, 2018. [Online]. Available: https://doi.org/10.1615/HeatTransRes.2018014771aĂŔ
  • Ibrahim, P. Kumar, and G. Lorenzini, “Analytical modeling of heat and mass transfer of radiative mhd casson fluid over an exponentially permeable stretching sheet with chemical reaction,” Journal of Engineering Thermophysics, vol. 29, no. 1, pp. 136–155, 2020. [Online]. Available: https://doi.org/10.1134/S1810232820010105
  • Ganesh and W. Sridhar, “Mhd radiative casson—nanofluid stream above a nonlinear extending surface including chemical reaction through darcy-forchiemer medium,” Heat Transfer Portico., vol. 50, no. 8, p. 7691–7711, July 2021. [Online]. Available: https://doi.org/10.1002/htj.22249
  • Sridhar, T. Hymavathi, S. E. Ahmed, A. Alenazi, and G. Ganesh, “Keller box procedure for stagnation point flow of emhd casson nanofluid over an absorbent stretched electromagnetic plate with chemical reaction,” Numerical Heat Transfer, Part A: Applications, vol. 85, no. 17, p. 1–18, 2024.[Online]. Available: https://doi.org/10.1080/10407782.2023.2229949
  • Al-Farhany and M. Al-Maliki, “Experimental investigation of heat transfer in a cavity filled with (50% cuo-50% al2o3)/water with hybrid nanofluid attached to a vertically heated wall partially integrated with pcm,” Al-Qadisiyah Journal for Engineering Sciences, vol. 16, no. 1, p. 21–29, 2023. [Online]. Available: https://doi.org/10.30772/qjes.v16i1.912
  • A. G. and K. B. Kh. Al-Farhany, “Effects of fin on mixed convection heat transfer in a vented square cavity: A numerical study,” Al-Qadisiyah Journal for Engineering Sciences, vol. 16, no. 3, p. 200–208, 2023. [Online]. Available: https://doi.org/10.30772/qjes.2023.142305.1016
  • Kamran, S. Hussain, M. Sagheer, and N. Akmal, “A numerical study of magneto- hydrodynamics flow in casson nanofluid combined with joule heating and slip boundary conditions,” Results in physics, vol. 7, no. 2017, pp. 3037–3048, 2017. [Online]. Available: https://doi.org/10.1016/j.rinp.2017.08.004
  • Khoshrouye Ghiasi and R. Saleh, “2d flow of casson fluid with non-uniform heat source/sink and joule heating,” Frontiers in Heat and Mass Transfer, vol. 12, no. 1, pp. 1–7, January 2019. [Online]. Available: https://doi.org/10.5098/hmt.12.4
  • S. Goud, Y. D. Reddy, V. S. Rao, and Z. H. Khan, “Thermal radiation and joule heating effects on a magnetohydrodynamic casson nanofluid flow in the presence of chemical reaction through a non-linear inclined porous stretching sheet.” Journal of Naval Architecture Marine Engineering, vol. 17, no. 2, pp. 143–164, 2020. [Online]. Available: http://doi.org/10.3329/jname.v17i2.49978
  • Jaffrullah, W. Sridhar, and G. R. Ganesh, “Mhd radiative casson fluid flow through forchheimer permeable medium with joule heating influence,” CFD Letters, vol. 15, no. 8, p. 179–199, September 2023. [Online]. Available: https://doi.org/10.37934/cfdl.15.8.179199
  • D. Makinde, “Mhd mixed-convection interaction with thermal radiation and nth order chemical reaction past a vertical porous plate embedded in a porous medium,” Chemical Engineering Communications, vol. 198, no. 4, pp. 590–608, 2010. [Online]. Available: http://doi.org/10.1080/00986445.2010.500151
  • M. Shawky, “Magnetohydrodynamic casson fluid flow with heat and mass transfer through a porous medium over a stretching sheet,” Journal of Porous Media, vol. 15, no. 4, pp. 393–401, 2012. [Online]. Available: https://doi.org/10.1615/JPorMedia.v15.i4.70
  • Mabood, W. Khan, and A. Ismail, “Multiple slips effects on mhd casson fluid flow in porous media with radiation and chemical reaction,” Canadian Journal of Physics, vol. 94, no. 1, pp. 26–34, 2016. [Online]. Available: https://doi.org/10.1139/cjp-2014-0667
  • M. B. Al-Naib, “investigation of heat transfer characteristics of al2o3-water nanofluid in a coiled agitated vessel across varied operating conditions,” Al-Qadisiyah Journal for Engineering Sciences, vol. 16, no. 3, p. 145–149, 2023. [Online]. Available: https://doi.org/10.30772/qjes.2023.178993
  • R. Ganesh and W. Sridhar, “Effect of chemical reaction towards mhd marginal layer movement of casson nanofluid through porous media above a moving plate with an adaptable thickness,” Pertanika Journal of Science and Technology, vol. 30, no. 1, p. 477–495, 2022. [Online]. Available: https://doi.org/10.47836/pjst.30.1.26
  • Mahesh, U. Mahabaleshwar, E. H. Aly, and O. Manca, “An impact of cnts on an mhd casson marangoni boundary layer flow over a porous medium with suction/injection and thermal radiation,” International Communications in Heat and Mass Transfer, vol. 141, p. 106561, 2023. [Online]. Available: https://doi.org/10.1016/j.icheatmasstransfer.2022.106561
  • Yusuf, R. Kareem, S. Adesanya, and J. Gbadeyan, “Entropy generation on mhd flow of a casson fluid over a curved stretching surface with exponential space-dependent heat source and nonlinear thermal radiation,” Heat Transfer, vol. 51, no. 2, pp. 2079–2098, 2021. [Online]. Available: https://doi.org/10.1002/htj.22389
  • Pattnaik, S. Mishra, B. Mahanthesh, B. Gireesha, and M. Rahimi- Gorji, “Heat transport of nano-micropolar fluid with an exponential heat source on a convectively heated elongated plate using numerical computation,” Multidiscipline Modeling in Materials and Structures, vol. 16, no. 5, pp. 1295–1312, 2020. [Online]. Available: https://doi.org/10.1108/MMMS-12-2018-0222
  • Waqas, U. Farooq, A. Ibrahim, M. Kamran Alam, Z. Shah, and P. Kumam, “Numerical simulation for bioconvectional flow of burger nanofluid with effects of activation energy and exponential heat source/sink over an inclined wall under the swimming microorganisms,” Scientific Reports, vol. 11, no. 1, p. 14305, 2021. [Online]. Available: https://doi.org/10.1038/s41598-021-93748-x
  • Kumar, B. Sharma, R. Gandhi, N. Mishra, and M. M. Bhatti, “Response surface optimization for the electromagnetohydrodynamic cu-polyvinyl alcohol/water jeffrey nanofluid flow with an exponential heat source,” Journal of Magnetism and Magnetic Materials, vol. 576, p. 170751, 2023. [Online]. Available: https://doi.org/10.1016/j.jmmm.2023.170751
  • Amendola, T. Ermolieva, J. Linnerooth-Bayer, and R. Mechler, “Flow and transport in porous formations,” Springer Science Business Media, 2012. [Online]. Available: https://doi.org/10.1007/978-94-007-2226-2
  • T. Malik, M. Farooq, S. Ahmad, and M. M. Mohamed, “Convective heat transportation in exponentially stratified casson fluid flow over an inclined sheet with viscous dissipation,” Case Studies in Thermal Engineering, vol. 52, no. 2023, p. 103720, 2023. [Online]. Available: https://doi.org/10.1016/j.csite.2023.103720aĂŔ
  • Agrawala, P. Dadheech, R. Jat, D. Baleanu, and S. Purohit, “Exploration of casson fluid-flow along exponential heat source in a thermally stratified porous media,” Thermal Science J., vol. 27, no. 1, p. 29–38, 2023. [Online]. Available: https://doi.org/10.2298/tsci23s1029a
  • L. Animasaun, “Casson fluid-flow with variable viscosity and thermal conductivity along exponentially stretching sheet embedded in a thermally stratified medium with exponentially heat generation,” Journal of Heat and Mass Transfer Research, vol. 2, no. 2, pp. 63–78, 2015. [Online]. Available: https://doi.org/10.22075/jhmtr.2015.346
Al-Qadisiyah Journal for Engineering Sciences
Volume 18, Issue 3
Summer 2025
Pages 298-306

  • Receive Date 17 April 2024
  • Revise Date 22 February 2025
  • Accept Date 15 August 2025

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