Exact Analysis of MHD Casson Fluid Flow Past an Exponentially Accelerated Vertical Plate in a Porous Medium with Radiation Absorption, Heat Generation, and Diffusion-Thermo Effects with Thermal and Solutal Ramped Conditions

  • Dibya Jyoti Saikia Department of Mathematics, Gauhati University, Guwahati; Department of Mathematics, Basugaon College, Basugaon, Assam, India https://orcid.org/0000-0001-6067-5390
  • Nazibuddin Ahmed Department of Mathematics, Cotton University, Guwahati, India https://orcid.org/0000-0002-0924-4402
  • Ardhendu Kr. Nandi Department of Mathematics, Basugaon College, Basugaon, Assam, India
  • Dip Jyoti Bora Department of Mathematics, Cotton University, Guwahati, India
Keywords: MHD, Radiation absorption, Casson fluid, Heat generation, Dufour effect

Abstract

The current investigation aims at to examine the effect of radiation absorption, heat generation and Dufour number on MHD Casson fluid flow past an exponentially accelerated vertical plate in a porous medium with chemical reaction. The governing equations for momentum, energy and concentration are solved by implementing the Laplace transformation method. Skin friction, rate of heat transfer and rate of mass transfer expressions are also extracted and depicted in tabular form. Investigation simulates that Casson parameter diminished the fluid velocity, whereas energy flux due to a mass concentration gradient improves the temperature field of the flow problem. In addition to this, temperature field is observed to be developed under the influence of radiation absorption and heat generation. Furthermore, the effects of different non-dimensional parameters on velocity field, temperature fluid and species concentration are exhibited graphically.

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References

H. Alfven, “Existence of electromagnetic-hydrodynamic waves,” Nature, 150, 405-406 (1942). https://doi.org/10.1038/150405d0

G.S. Seth, Md.S. Ansari, and R. Nandkeolyar, “MHD natural convection flow with radiative heat transfer past an impulsively moving plate with ramped wall temperature,” Heat and mass transfer, 47, 551-561 (2011). https://doi.org/10.1007/s00231-010-0740-1

B.S. Goud, “Thermal radiation influences on MHD stagnation point stream over a stretching sheet with slip boundary conditions,” International Journal of Thermofluid Science and Technology, 7(2), 070201 (2020). https://doi.org/10.36963/IJTST.2020070201

C. Rath, A. Nayak, and S. Panda, “Impact of viscous dissipation and Dufour on MHD natural convective flow past an accelerated vertical plate with Hall current,” Heat Transfer, 51(6), 5971-5995 (2022). https://doi.org/10.1002/htj.22577

J.K. Singh, G.S. Seth, and P. Rohidas, “Impacts of time varying wall temperature and concentration on MHD free convective flow of a rotating fluid due to moving free-stream with hall and ion-slip currents,” International Journal of Thermofluid Science and Technology, 6(3), 19060301 (2019). https://doi.org/10.36963/IJTST.19060301

M.V. Krishna, N.A. Ahamad, and A.J. Chamkha, “Radiation absorption on MHD convective flow of nanofluids through vertically travelling absorbent plate,” Ain Shams Engineering Journal, 12, 3043-3056 (2021). https://doi.org/10.1016/j.asej.2020.10.028

S.R. Rao, G. Vidyasagar, and G.V.S.R. Deekshitulu, “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,” Materials Today: Proceedings, 42, 1608-1616 (2021). https://doi.org/10.1016/j.matpr.2020.07.554

M.F. Endalew, and A. Nayak, “Thermal radiation and inclined magnetic field effects on MHD flow past a linearly accelerated inclined plate in a porous medium with variable temperature,” Heat Transfer - Asian Research, 48(1), 42-61 (2019). https://doi.org/10.1002/htj.21367

H.R. Kataria, and H.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, 35-46 (2019). https://doi.org/10.1016/j.jppr.2018.12.001

J.-C. Zhou, A. Abidi, Q.-H. Shi, M.R. Khan, A. Rehman, A. Issakhov, and A.M. Galal, “Unsteady radiative slip flow of MHD Casson fluid over a permeable stretched surface subject to a non-uniform heat source,” Case Studies in Thermal Engineering, 26, 101141 (2021). https://doi.org/10.1016/j.csite.2021.101141

C. Sulochana, S.R. Aparna, and N. Sandeep, “Heat and mass transfer of magnetohydrodynamic Casson fluid flow over a wedge with thermal radiation and chemical reaction,” Heat transfer, 50, 3704-3721 (2021). https://doi.org/10.1002/htj.22049

R. Reyaz, Y.J. Lim, A.Q. Mohamad, M. Saqib, and S. Shafie, “Caputo fractional MHD Casson fluid flow over an oscillating plate with thermal radiation,” Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 85, 145-158 (2021). https://semarakilmu.com.my/journals/index.php/fluid_mechanics_thermal_sciences/article/view/8087

J. Bodduna, and C.S. Balla, “Bioconvection in a porous square cavity containing gyrotactic microorganisms under the effects of heat generation/absorption,” Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 235, 1534-1544 (2021). https://doi.org/10.1177/09544089211007326

k. Ali, S. Ahmad, K.S. Nisar, A.A. Faridi, and M. Ashraf, “Simulation analysis of MHD hybrid CuAl2O3/H2O nanofluid flow with heat generation through a porous media,” International Journal of Energy Research, 45, 19165-19179 (2021). https://doi.org/10.1002/er.7016

M.R. Khan, S. Mao, W. Deebani, and A.M.A. Elsiddieg, “Numerical analysis of heat transfer and friction drag relating to the effect of Joule heating, viscous dissipation and heat generation/absorption in aligned MHD slip flow of a nanofluid,” International Communications in Heat and Mass Transfer, 131, 105843 (2022). https://doi.org/10.1016/j.icheatmasstransfer.2021.105843

M.K. Nayak, A.A. Hakeem, and B. Ganga, “Influence of non-uniform heat source/sink and variable viscosity on mixed convection flow of third grade nanofluid over an inclined stretched Riga plate,” International Journal of Thermofluid Science and Technology, 6(4), 19060401 (2019). https://doi.org/10.36963/IJTST.19060401

A. Nayak, S. Panda, and D.K. Phukan, “Soret and Dufour effects on mixed convection unsteady MHD boundary layer flow over stretching sheet in porous medium with chemically reactive species,” Applied Mathematics and Mechanics, 35(7), 849 862 (2014). https://doi.org/10.1007/s10483-014-1830-9

N.A. Ahammad, and M.V. Krishna “Numerical investigation of chemical reaction, Soret and Dufour impacts on MHD free convective gyrating flow through a vertical porous channel,” Case Studies in Thermal Engineering, 28, 101571 (2021). https://doi.org/10.1016/j.csite.2021.101571

M. Jawad, A. Saeed, P. Kumam, Z. Shah, and A. Khan, “Analysis of boundary layer MHD Darcy-Forchheimer radiative nanofluid flow with Soret and DuFour effects by means of Marangoni convection,” Case Studies in Thermal Engineering, 23, 100792 (2021). https://doi.org/10.1016/j.csite.2020.100792

N. Ahmed, and D.J. Saikia, “Unsteady MHD free convective flow past a moving vertical plate in a porous medium with radiation and chemical reaction including arbitrary thermal and solutal ramped condition,” Heat Transfer, 51, 6893 6914 (2022). https://doi.org/10.1002/htj.22629

C. Rath, and A. Nayak, “Transient natural convective flow of a radiative viscous incompressible fluid past an exponentially accelerated porous plate with chemical reaction species,” Heat Transfer, 52(1), 467-494 (2023). https://doi.org/10.1002/htj.22703

D. Gopal, S. Saleem, S. Jagadha, F. Ahmad, A.O. Almatroud, and N. Kishan, “Numerical analysis of higher order chemical reaction on electrically MHD nanofluid under influence of viscous dissipation,” Alexandria Engineering Journal, 60, 1861 1871 (2021). https://doi.org/10.1016/j.aej.2020.11.034

N.G. Reddy, V.S. Rao, and B.R. Reddy, “Chemical reaction impact on MHD natural convection flow through porous medium past an exponentially stretching sheet in presence of heat source/sink and viscous dissipation,” Case studies in thermal engineering, 25, 100879 (2021). https://doi.org/10.1016/j.csite.2021.100879

Sehra, S. Ul Haq, S.I.A. Shah, K.S. Nisar, S.U. Jan, and I. Khan, “Convection heat mass transfer and MHD flow over a vertical plate with chemical reaction, arbitrary shear stress and exponential heating,” Scientific Reports, 11, 1-11 (2021). https://doi.org/10.1038/s41598-021-81615-8

P.S. Reddy, and A.J. Chamkha, “Soret and Dufour effects on MHD convective flow of Al2O3–water and TiO2–water nanofluids past a stretching sheet in porous media with heat generation/absorption,” Advanced Powder Technology, 27(4), 1207-1218 (2016). http://dx.doi.org/10.1016%2Fj.apt.2016.04.005

O. Mopuri, R.K. Madhu, M.R. Peram, C. Ganteda, G. Lorenzini, and N.A. Sidik, “Unsteady MHD on convective flow of a Newtonian fluid past an inclined plate in presence of chemical reaction with radiation absorption and Dufour effects,” CFD Letters, 14(7), 62-76 (2022). https://doi.org/10.37934/cfdl.14.7.6276

Published
2024-09-02
Cited
How to Cite
Saikia, D. J., Ahmed, N., Nandi, A. K., & Bora, D. J. (2024). Exact Analysis of MHD Casson Fluid Flow Past an Exponentially Accelerated Vertical Plate in a Porous Medium with Radiation Absorption, Heat Generation, and Diffusion-Thermo Effects with Thermal and Solutal Ramped Conditions. East European Journal of Physics, (3), 213-225. https://doi.org/10.26565/2312-4334-2024-3-21