Investigating slip boundary in MHD Powell–Eyring fluid flow over a stretching sheet in porous domain with heat generation

Fahad M. Alharbi; Fahad M. Alharbi

doi:10.3934/math.20251328

AIMS Mathematics

2025, Volume 10, Issue 12: 30229-30245. doi: 10.3934/math.20251328

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Investigating slip boundary in MHD Powell–Eyring fluid flow over a stretching sheet in porous domain with heat generation

Fahad M. Alharbi ^,

Department of Mathematics, Al-Qunfudah University College, Umm Al-Qura University, Mecca, Saudi Arabia

Received: 06 October 2025 Revised: 26 November 2025 Accepted: 01 December 2025 Published: 24 December 2025

A steady, laminar, and incompressible flow of Powell–Eyring fluid model over a linearly stretching sheet is numerically investigated in a porous, two-dimensional medium. An influence of a slip velocity phenomenon, magnetic field, viscous dissipation, heat source, and radiation on the fluid flowing are considered with this investigation. The governing equations for this scenario are derived and then transformed to be dimensionless using a suitable similarity. The set of equations is solved numerically utilizing bvp4c built–in solver in MATLAB^® software. To validate our results, a special case arising from this problem is obtained which shows a very good agreement with the previous studies. The effect of the considered physical quantities on the dimensionless velocity profile, temperature distribution, skin friction, and local Nusselt coefficient are described. Findings reveal that a resistance in the fluid flow and a growth in the thermal distribution have been noticed when the slip velocity phenomena, magnetic field, or permeability parameter is increased, whereas enhancing the velocity profile and thermal distribution can markedly be seen by increasing the radiation magnitude.
- Powell–Eyring fluid,
- MHD,
- slip velocity,
- porous medium,
- thermal radiation
Citation: Fahad M. Alharbi. Investigating slip boundary in MHD Powell–Eyring fluid flow over a stretching sheet in porous domain with heat generation[J]. AIMS Mathematics, 2025, 10(12): 30229-30245. doi: 10.3934/math.20251328

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Abstract

A steady, laminar, and incompressible flow of Powell–Eyring fluid model over a linearly stretching sheet is numerically investigated in a porous, two-dimensional medium. An influence of a slip velocity phenomenon, magnetic field, viscous dissipation, heat source, and radiation on the fluid flowing are considered with this investigation. The governing equations for this scenario are derived and then transformed to be dimensionless using a suitable similarity. The set of equations is solved numerically utilizing bvp4c built–in solver in MATLAB^® software. To validate our results, a special case arising from this problem is obtained which shows a very good agreement with the previous studies. The effect of the considered physical quantities on the dimensionless velocity profile, temperature distribution, skin friction, and local Nusselt coefficient are described. Findings reveal that a resistance in the fluid flow and a growth in the thermal distribution have been noticed when the slip velocity phenomena, magnetic field, or permeability parameter is increased, whereas enhancing the velocity profile and thermal distribution can markedly be seen by increasing the radiation magnitude.

References

[1]	C. Duan, M. Alhazmi, Z. Shah, M. Jawaid, M. E. Dalam, M. M. Almazah, et al., Numerical analysis of heat and mass transfer in eyring-powell fluid employing python with convective boundary conditions, Case Stud. Therm. Eng., 73 (2025), 106546.
[2]	S. Karthik, D. Iranian, I. Khan, D. B. Basha, F. Hajjej, A. Singh, Heat transfer rate and thermal energy analysis of mhd powell-eyring fluid in a permeable medium, Case Stud. Therm. Eng., 52 (2023), 103702.
[3]	Y. Vinod, K. Raghunatha, S. N. Nagappanavar, N. Nazarova, M. Gupta, et al., Boundary layer flow of a non-newtonian fluid over an exponentially stretching sheet with the presence of a heat source/sink, Partial Differ. Eq. Appl. Math., 13 (2025), 101111.
[4]	K. Sudarmozhi, D. Iranian, N. Alessa, Investigation of melting heat effect on fluid flow with brownian motion/thermophoresis effects in the occurrence of energy on a stretching sheet, Alex. Eng. J., 94 (2024), 366–376. http://doi.org/10.1016/j.aej.2024.03.065 doi: 10.1016/j.aej.2024.03.065
[5]	J. Raza, F. Mebarek-Oudina, H. Ali, I. Sarris, Slip effects on casson nanofluid over a stretching sheet with activation energy: Rsm analysis, Front. Heat Mass Transfer, 22 (2024), 1017–1041.
[6]	L. J. Crane, Flow past a stretching plate, ZAMP, 21 (1970), 645–647. http://doi.org/10.1007/BF01587695 doi: 10.1007/BF01587695
[7]	J. McLeod, K. Rajagopal, On the uniqueness of flow of a Navier–Stokes fluid due to a stretching boundary, Arch. Ration. Mech. Anal., 98 (1987), 385–393.
[8]	P. Gupta, A. Gupta, Heat and mass transfer on a stretching sheet with suction or blowing, Can. J. Chem. Eng., 55 (1977), 744–746.
[9]	J. Brady, A. Acrivos, Steady flow in a channel or tube with an accelerating surface velocity. An exact solution to the Navier–Stokes equations with reverse flow, J. Fluid Mech., 112 (1981), 127–150. http://doi.org/10.1017/S0022112081000323 doi: 10.1017/S0022112081000323
[10]	C. Y. Wang, Fluid flow due to a stretching cylinder, Phys. Fluids, 31 (1988), 466–468. http://doi.org/10.1063/1.866827 doi: 10.1063/1.866827
[11]	C. Wang, The three-dimensional flow due to a stretching flat surface, Phys. Fluids, 27 (1984), 1915–1917. http://doi.org/10.1063/1.864868 doi: 10.1063/1.864868
[12]	C. Wang, Liquid film on an unsteady stretching surface, Q. Appl. Math., 48 (1990), 601–610. http://doi.org/10.1090/qam/1079908 doi: 10.1090/qam/1079908
[13]	R. Usha, R. Sridharan, The axisymmetric motion of a liquid film on an unsteady stretching surface, J. Fluids Eng., 177 (1995), 81–85.
[14]	S. R. Munjam, K. Gangadhar, R. Seshadri, M. Rajeswar, Novel technique MDDIM solutions of MHD flow and radiative Prandtl–Eyring fluid over a stretching sheet with convective heating, Int. J. Ambient Energy, 43 (2022), 4850–4859.
[15]	W. Abbas, A. M. Megahed, M. Emam, H. M. Sadek, Mhd dissipative powell-eyring fluid flow due to a stretching sheet with convective boundary conditions and slip velocity, Sci. Rep., 13 (2023), 15674.
[16]	S. Karthik, D. Iranian, Q. M. Al-Mdallal, Numerical simulation of magneto-hydrodynamic fluid flow with heat sink, chemical diffusion and powell eyring fluid behavior using cattaneo–christov source term, Int. J. Thermofluids, 22 (2024), 100616.
[17]	P. Agarwal, R. Jain, K. Loganathan, Thermally radiative flow of mhd powell-eyring nanofluid over an exponential stretching sheet with swimming microorganisms and viscous dissipation: A numerical computation, Int. J. Thermofluids, 23 (2024), 100773.
[18]	S. Sagheer, R. Razzaq, U. Farooq, Non-similar analysis of heat generation and thermal radiation on eyring-powell hybrid nanofluid flow across a stretching surface, Adv. Mech. Eng., 16 (2024), 16878132241282562.
[19]	B. Ahmed, T. Hayat, F. Abbasi, A. Alsaedi, Mixed convection and thermal radiation effect on mhd peristaltic motion of powell-eyring nanofluid, Int. Commun. Heat Mass Transfer, 126 (2021), 105320. http://doi.org/10.1016/j.icheatmasstransfer.2021.105320 doi: 10.1016/j.icheatmasstransfer.2021.105320
[20]	A. S. Oke, W. N. Mutuku, Significance of viscous dissipation on mhd eyring–powell flow past a convectively heated stretching sheet, Pramana, 95 (2021), 199.
[21]	A. M. Sedki, Effect of thermal radiation and chemical reaction on mhd mixed convective heat and mass transfer in nanofluid flow due to nonlinear stretching surface through porous medium, Results Mater., 16 (2022), 100334. http://doi.org/10.1016/j.rinma.2022.100334 doi: 10.1016/j.rinma.2022.100334
[22]	N. Amar, N. Kishan, The influence of radiation on mhd boundary layer flow past a nano fluid wedge embedded in porous media, Partial Differ. Eq. Appl. Math., 4 (2021), 100082.
[23]	M. V. S. Rao, K. Gangadhar, A. J. Chamkha, Mhd eyring-powell fluid flow over a stratified stretching sheet immersed in a porous medium through mixed convection and viscous dissipation, Int. J. Modell. Simul., 45 (2025), 1640–1656.
[24]	T. A. Yusuf, M. B. Ashraf, F. Mabood, Cattaneo–christov heat flux model for three-dimensional magnetohydrodynamic flow of an eyring powell fluid over an exponentially stretching surface with convective boundary condition, Numer. Methods Partial Differ. Eq., 39 (2023), 242–253. http://doi.org/10.18261/pof.39.3.6 doi: 10.18261/pof.39.3.6
[25]	E. H. Rikitu, Flow dynamics of eyring–powell nanofluid on porous stretching cylinder under magnetic field and viscous dissipation effects, Adv. Math. Phys., 2023 (2023), 9996048.
[26]	M. Khader, M. Babatin, Numerical study for improvement the cooling process through a model of powell-eyring fluid flow over a stratified stretching sheet with magnetic field, Case Stud. Therm. Eng., 31 (2022), 101786.
[27]	R. Agrawal, P. Kaswan, Mhd eyring–powell nanofluid past over an unsteady exponentially stretching surface with entropy generation and thermal radiation, Heat Transfer, 50 (2021), 4669–4693. http://doi.org/10.1002/htj.22095 doi: 10.1002/htj.22095
[28]	S. Karthik, D. Iranian, I. Khan, D. B. Basha, F. Hajjej, A. Singh, Heat transfer rate and thermal energy analysis of MHD Powell–Eyring fluid in a permeable medium, Case Stud. Therm. Eng., 52 (2023), 103702.
[29]	V. S. Patil, A. B. Patil, M. Shamshuddin, P. P. Humane, G. R. Rajput, Eyring–Powell nano liquid flow through permeable elongated sheet conveying inclined magnetic field subject to constructive chemical reaction and multiple slip effects, Int. J. Modell. Simul., 43 (2023), 533–548.
[30]	H. M. Srivastava, Z. Khan, P. O. Mohammed, E. Al-Sarairah, M. Jawad, R. Jan, Heat transfer of buoyancy and radiation on the free convection boundary layer mhd flow across a stretchable porous sheet, Energies, 16 (2022), 58.
[31]	H. Konwar, Bendangwapang, T. Jamir, Mixed convection mhd boundary layer flow, heat, and mass transfer past an exponential stretching sheet in porous medium with temperature-dependent fluid properties, Numer. Heat Transfer, Part A: Appl., 83 (2023), 1346–1364.
[32]	W. Abbas, A. M. Megahed, M. Emam, H. M. Sadek, MHD dissipative Powell–Eyring fluid flow due to a stretching sheet with convective boundary conditions and slip velocity, Sci. Rep., 13 (2023), 15674.
[33]	N. S. Akbar, A. Ebaid, Z. Khan, Numerical analysis of magnetic field effects on eyring-powell fluid flow towards a stretching sheet, J. Magn. Magn. Mater., 382 (2015), 355–358.
[34]	S. K. Khan, Heat transfer in a viscoelastic fluid flow over a stretching surface with heat source/sink, suction/blowing and radiation, Int. J. Heat Mass Transfer, 49 (2006), 628–639.
[35]	C. Perdikis, A. Raptis, Heat transfer of a micropolar fluid by the presence of radiation, Heat Mass Transfer, 31 (1996), 381–382. http://doi.org/10.1007/s002310050071 doi: 10.1007/s002310050071
[36]	A. Raptis, C. Perdikis, Viscoelastic flow by the presence of radiation, Z. angew. Math. Mech., 78 (1998), 277–279. http://doi.org/10.1002/(SICI)1521-4001(199804)78:4<277::AID-ZAMM277>3.0.CO;2-F doi: 10.1002/(SICI)1521-4001(199804)78:4<277::AID-ZAMM277>3.0.CO;2-F
[37]	N. S. Akbar, A. Ebaid, Z. Khan, Numerical analysis of magnetic field effects on Eyring-Powell fluid flow towards a stretching sheet, J. Magn. Magn. Mater., 382 (2015), 355–358.
[38]	K. Bhattacharyya, S. Mukhopadhyay, G. Layek, Similarity solution of mixed convective boundary layer slip flow over a vertical plate, Ain Shams Eng. J., 4 (2013), 299–305. http://doi.org/10.1016/j.asej.2012.09.003 doi: 10.1016/j.asej.2012.09.003
[39]	S. Mukhopadhyay, I. C. Mandal, Magnetohydrodynamic (MHD) mixed convection slip flow and heat transfer over a vertical porous plate, Eng. Sci. Technol. Int. J., 18 (2015), 98–105. http://doi.org/10.1365/s35147-015-1272-x doi: 10.1365/s35147-015-1272-x
[40]	M. Fathizadeh, M. Madani, Y. Khan, N. Faraz, A. Yıldırım, S. Tutkun, An effective modification of the homotopy perturbation method for MHD viscous flow over a stretching sheet, J. King Saud Univ. Sci., 25 (2013), 107–113.

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