Effects of Diffusive Heating, Radiation Absorption and Joule Heating on MHD Mixed Convection Rotating Flow past an Inclined Porous Plates under the Influence of Hall Current and Thermal Radiation

Document Type : Full Lenght Research Article

Authors

1 Department of Mathematics, Sri Krishnadevaraya University, Anantapuram-515003, Andhra Pradesh, India

2 Department of Mathematics, Government Degree College (A), Anantapuram-515001, Andhra Pradesh, India

Abstract

In this study, we examined the effects of diffusive heating, Hall current, and radiation absorption on the magnetohydrodynamic (MHD) mixed convective flow of a viscous, incompressible, electrically conducting Casson fluid along an inclined porous plate. This flow occurs in the presence of thermal radiation and chemical reactions. Using a perturbation approach, we derived solutions for the non-dimensional equations. Within the boundary layer, we analyzed how various non-dimensional factors influence the velocities, temperatures, and concentrations of the fluid. Additionally, computational analyses were conducted to explore the impact of relevant factors on the shear stress rate and the rates of heat and mass transfer. As the Hall and radiation absorption parameters increase, the velocity and temperature of the fluid also increase. Conversely, when the diffusive heating parameters increase, the fluid velocity and temperature exhibit opposite trends. Additionally, as thermal radiation increases, the temperature tends to decrease. Increasing the permeability factor reduces the skin friction coefficient, but increasing the thermal and mass Grashof numbers has the opposite effect. A higher Prandtl number leads to an increase in the Nusselt number. Lastly, the Sherwood number decreases as the amount of absorbed radiation increases.

Keywords

Main Subjects


  1. Swapna, D., Govardhan, K., Narender, G. and Misra, S., 2023. Viscous Dissipation and Chemical Reaction on Radiate MHD Casson Nanofluid Past a Stretching Surface with a Slip Effect. Journal of Heat and Mass Transfer Research, 10, 2, 315-328. doi: 10.22075/jhmtr.2024.31758.1477.
  2. Isaiah, A.F., 2022. Spectral Quasi-Linearization Approach for Unsteady MHD Boundary Layer Flow of Casson Fluid Due to an Impulsively Stretching Surface. Journal of Heat and Mass Transfer Research, 9, 2, 269-278. doi: 10.22075/jhmtr.2016.422.
  3. Sarojamma, G., Sreelakshmi, K., Vasundhara, B., 2017. Unsteady boundary layer flow of a Casson fluid past a wedge with wall slip velocity. Journal of Heat and Mass Transfer Research, 4, 2, 91-102. doi: 10.22075/jhmtr.2017.1647.1110
  4. Mustapha El hamma, Ilham, A., Taibi, M., Rtibi, A., Kamal, G., 2023. Analysis of MHD Thermosolutal Convection in a Porous Cylindrical Cavity Filled with a Casson Nanofluid, Considering Soret and Dufour Effects. Journal of Heat and Mass Transfer Research, 10, 2, 197-206. doi: 10.22075/jhmtr.2023.30532.1439.
  5. Raghunath, K., Ramachandra Reddy, V., Obulesu, M., 2021. Effects of Radiation Absorption and Aligned Magnetic Field on MHD Cassion Fluid Past an Inclined Vertical Porous Plate in Porous Media. Published in Simulation and Analysis of Mathematical Methods in Real-Time Engineering Applications, 273–291.
  6. Pavan Kumar, C., Raghunath, K., Obulesu, M., 2021. Thermal Diffusion And Inclined Magnetic Field Effects On MHD Free Convection Flow of Casson Fluid Past an Inclined Plate In Conducting Field. Turkish Journal of Computer and Mathematics Education, Vol.12 No.13, 960-977.
  7. Srinivasacharya, D., and Swamp Reddy, G., 2016. Chemical reaction and radiation effects on mixed convection heat and mass transfer over a vertical plate in power-law fluid saturated porous medium. Journal of the Egyptian Mathematical Society, 24, 108-115.
  8. Ibrahim, F.S., Elaiw, A.M., Bakr, A.A., 2008. Effect of the chemical reaction and radiation absorption on the unsteady MHD free convection flow past a semi-infinite vertical permeable moving plate with heat source and suction. Commun. Nonlinear Sci. Numer. Simul. 13, 1056–1066.
  9. V., 2021. Dufour and Soret Effect on Unsteady MHD Free Convection and Mass Transfer Flow Past an Impulsively Started Vertical Porous Plate Considering with Heat Generation. Journal of Heat and Mass Transfer Research, 8, 2, 257-266. doi: 10.22075/jhmtr.2021.21229.1301
  10. Aly, A., Chamkha, A.J., Raizah, Z.A.S., 2020. Radiation and Chemical Reaction Effects on Unsteady Coupled Heat and Mass Transfer by Free Convection from a Vertical Plate Embedded in Porous Media. Journal of Heat and Mass Transfer Research, 7, 2, 95-103. doi: 10.22075/jhmtr.2019.10763.1149
  11. Narender, G., Sreedhar Sarma, G., Govardhan, K., 2019. Heat and mass transfer of nanofluid over a linear stretching surface with viscous dissipation effect. Journal of Heat and Mass Transfer Research, 6, 2, 117-124. doi: 10.22075/jhmtr.2019.15419.1214
  12. Raghunath, K., Obulesu. M., Venkateswara Raju, K., 2023. Radiation absorption on MHD Free Conduction flow through porous medium over an unbounded vertical plate with heat source. International Journal of Ambient Energy, Volume 44(1), Pages 1712-1720. DOI:1080/01430750.2023.2181869
  13. Khan, A., Jawad, M., Ali, I., 2024. Influences of Gyrotactic Microorganisms and Nonlinear Mixed Bio-convection on Hybrid Nanofluid Flow over an Inclined Extending Plate with Porous Effects. Journal of Heat and Mass Transfer Research, doi: 10.22075/jhmtr.2024.32014.1485
  14. El hamma, M., Ilham, A., Taibi, M., Rtibi, A., Gueraoui, K., 2023. Analysis of MHD Thermosolutal Convection in a Porous Cylindrical Cavity Filled with a Casson Nanofluid, Considering Soret and Dufour Effects. Journal of Heat and Mass Transfer Research, 10, 2, 197-206. doi: 10.22075/jhmtr.2023.30532.1439
  15. Mridusmita, B., Nazibuddin, A., 2023. Convective MHD Flow of a Rotating Fluid Past through a Moving Isothermal Plate under Diffusion-Thermo and Radiation Absorption. Journal of Heat and Mass Transfer Research, 10, 2, 245-256. doi: 10.22075/jhmtr.2023.31013.1454
  16. Jamir, T., Hemanta, K., 2022. onwar. Effects of Radiation Absorption, Soret and Dufour on Unsteady MHD Mixed Convective Flow past a Vertical Permeable Plate with Slip Condition and Viscous Dissipation. Journal of Heat and Mass Transfer Research, 9, 2, 155-168. doi: 10.22075/jhmtr.2023.28693.1399
  17. Omar, T.B., Raghunath, K., Ali, F., Khalid, M., El Sayed Mohamed Tag-ElDin, Oreijah, M., Guedri, K., Khedher, N.B., Ijaz Khan, M., 2022. Hall Current and Soret Effects on Unsteady MHD Rotating Flow of Second-Grade Fluid through Porous Media under the Influences of Thermal Radiation and Chemical Reactions. Catalysts, 12, 1233. https://doi.org/10.3390/catal12101233.
  18. Aruna, G., Haribabu, K., Venkaeshwarlu, K., Raghunath, K., 2022. An unsteady MHD flow of a second‐grade fluid passing through a porous medium in the presence of radiation absorption exhibits Hall and ion slip effects. Heat Transfer, Volume 51, 1-27. doi:10.1002/htj.2271.
  19. Raghunath, K., Mohanaramana, R., 2022. Hall, Soret, and rotational effects on unsteady MHD rotating flow of a second-grade fluid through a porous medium in the presence of chemical reaction and aligned magnetic field. International Communications in Heat and Mass Transfer, Volume 137, 106287. https://doi.org/10.1016/j.icheatmasstransfer.2022.106287.
  20. Joule, J.P., 1843, December. On the production of heat by voltaic electricity. In Abstracts of the Papers Printed in the Philosophical Transactions of the Royal Society of London (No. 4, pp. 280-282). London: The Royal Society.
  21. Loganathan, K., Rajan, S., 2020. An entropy approach of Williamson nanofuid fow with Joule heating and zero nanoparticle mass fux. J. Term. Anal. Calorim. 141, 2599–2612, 33.
  22. Zhou, S.S., Bilal, M., Khan, M. A. Muhammad, T., 2021. Numerical analysis of thermal radiative Maxwell nanofuid fow over-stretching porous rotating disk. Micromachines 12, 540.
  23. Khan, S. A. et al., 2022. Irreversibility analysis in hydromagnetic fow of Newtonian fuid with Joule heating: Darcy–Forchheimer model. J. Pet. Sci. Eng. 212, 110206.
  24. Hafeez, A., Khan, M., Ahmed, A., Ahmed, J., 2022. Features of Cattaneo–Christov double difusion theory on the fow of non-Newtonian Oldroyd-B nanofuid with Joule heating. Appl. Nanosci. 12, 265–272.
  25. Shamshuddin, M.D., Eid, M.R., 2022. nth order reactive nanoliquid through convective elongated sheet under mixed convection fow with joule heating efects. J. Term. Anal. Calorim. 147, 3853–3867.
  26. Pramanik, S., 2014. Casson fuid fow and heat transfer past an exponentially porous stretching surface in presence of thermal radiation. Ain Shams Eng. J. 5, 205–212.
  27. Khan, M. I., Shah, F., Khan, S. U., Ghafari, A., Chu, Y., 2022. Heat and mass transfer analysis for bioconvective fow of Eyring Powell nanofuid over a Riga surface with nonlinear thermal features. Numer. Methods Partial Difer. Equ. 38, 777–793.
  28. Ahmad, S., Ashraf, M., Ali, K., 2021. Simulation of thermal radiation in a micropolar fuid fow through a porous medium between channel walls. Journal Term. Anal. Calorim. 144, 941–953.
  29. Dullien, F.A.L., 1992. Porous media – fluid transport and pore structure, 2nd Edition. Academic Press, San Diego.
  30. Cowling, G.S., 1957. Magneto hydrodynamics. Interscience Publishers, New York.
  31. Deepthi, V. V. L., Maha M.A.L, Ravi Kumar, N., Raghunath, K., Ali, F., Oreijah, M., Kamel, G., El Sayed Mohamed Tag-ElDin, Ijaz Khan, M., Ahmed M. Galal., 2022. Recent Development of Heat and Mass Transport in the Presence of Hall, Ion Slip and Thermo Diffusion in Radiative Second Grade Material: Application of Micromachines. Micromachines, 13, 10: 1566. https://doi.org/10.3390/mi13101566.
  32. Raghunath, K., 2023. Study of Heat and Mass Transfer of an Unsteady Magnetohydrodynamic Nanofluid Flow Past a Vertical Porous Plate in the Presence of Chemical Reaction, Radiation and Soret Effects. Journal Of Nanofluids, 12, pp. 767–776.https://doi.org/10.1166/jon.2023.1923.
  33. Raghunath, K., Mohana Ramana, R., Ramachandra Reddy, V., Obulesu, M., 2023. Diffusion Thermo and Chemical Reaction Effects on Magnetohydrodynamic Jeffrey Nanofluid Over an Inclined Vertical Plate in the Presence of Radiation Absorption and Constant Heat Source. Journal of Nanofluids, 12,pp.147–156. https://doi.org/10.1166/jon.2023.1923.
  34. Raghunath, K., Ali, F., Khalid, M., Abdullaeva, B.S., Altuijri, R., Ijaz Khan, M., 2023. Heat and mass transfer on MHD flow of Jeffrey nanofluid based on Cu and TiO2 over an inclined plate and diffusion-thermo and radiation absorption effects. Pramana (Journal of Physics), 97(4), 202. https://doi.org/10.1007/s12043-023-02673-3.
  35. Sunitha Rani, Y., Kalyan Kumar,  P., Raghunath, K., Asmat, F., 2024. Unsteady MHD rotating mixed convective fow through an infinite vertical plate subject to Joule heating, thermal radiation, Hall current, radiation absorption. Journal of Thermal Analysis and Calorimetry. https://doi.org/10.1007/s10973-024-12954-7.
  36. Hari Babu, K., Raghunath, K., Charankumar, G., Giulio, L., 2023. Heat and Mass Transfer on Unsteady MHD Chemically Reacting Rotating Flow of Jeffrey Fluid Past an Inclined Plates under the Impact of Hall Current, Diffusion Thermo and Radiation Absorption. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 111(2), pp. 225–241. https://doi.org/10.37934/arfmts.111.2.225241.
  37. Raghunath, K., Obulesu, M., Sujatha, S., Venkateswararaju, K., 2021. Investigation of MHD Casson fluid flow past a vertical porous plate under the influence of thermal diffusion and chemical reaction. Heat Transfer, 51(9), pp. 377-394. https://doi.org/10.1002/htj.22311.
  38. Raghunath, K., Mohana Ramana R., Veeranna, V., Ijaz Khan, M., Sherzod, A., Nissren, T., 2023. Hall current and thermal radiation effects of 3D rotating hybrid nanofluid reactive flow via stretched plate with internal heat absorption, Results in Physics, Volume 53, 106915. https://doi.org/10.1016/j.rinp.2023.106915.
  39. Raghunath, K., Ramachandra Reddy, V., Ijaz Khan, M., Abdullaev, S., Habibullah, A.,  Boudjemline, Boujelbene, M., Yassine,  B.,  2023. Unsteady magneto-hydro-dynamics flow of Jeffrey fluid through porous media with thermal radiation, Hall current and Soret effects,  Journal of Magnetism and Magnetic Materials, Volume 582, 171033. https://doi.org/10.1016/j.jmmm.2023.171033.
  40. Dash, R.K, Mehta, K.N., Jayaraman, G., 1996. Casson fluid flow in a pipe filled with homogeneous porous medium, International journal of engineering Science, 34, 1145-1156.