Effects of Natural Convection and Radiation on MHD Stagnation Point Nano-Fluid Flow past a Stretchable Surface with Velocity Slip and Newtonian Heating

  • G.P. Gifty Department of Mathematics, Centurion University of Technology and Management, Odisha, India
  • S.B. Padhi Department of Mathematics, Centurion University of Technology and Management, Odisha, India
  • B.K. Mahatha Rajkiyakrit +2 High School, Latbedhwa, Koderma, Jharkhand, India
  • G.K. Mahato Department of Mathematics, Amity Institute of Applied Sciences, Amity University Jharkhand, Ranchi, India https://orcid.org/0000-0003-4549-0042
Keywords: MHD, Nano-Fluid, Natural Convection, Radiation, Velocity Slip, Newtonian Heating

Abstract

MHD stagnation point natural convection flow of a viscous, incompressible, electrically conducting, and heat radiating nanofluid past a stretchy surface with velocity slip and Newtonian heating in the presence of a transverse magnetic field is examined. Governing nonlinear partial differential equations are solved with the help of Matlab’s bvp4c technique. To confirm robustness and accuracy of the result, the numerical findings in this study are compared with the existing literature, and they are found to be in good agreement. Effects of various parameters on velocity, temperature, and species concentration are computed and presented in the form of graphs whereas the effects on skin friction, the heat transfer rate and mass transfer rate are tabulated. As a result of enhanced thermal energy accumulation or diffusion, nanofluid temperature is increased by Brownian motion, thermophoretic diffusion, velocity slip, convective heating, nonlinear thermal radiation, and Prandtl number. Rate of heat transfer is getting enhanced by temperature ratio, convective heating, and thermal Grashof number due to increased thermal gradients and buoyancy-driven heat transport. Such nanofluid flows have the potential to be used in a number of heat transfer processes such as renewable energy devices including MHD power generators, etc.

Downloads

Download data is not yet available.

References

M. Nandini, B.N. Hanumagowda, G. Saini, S.V.K. Varma, J.V. Tawade, N.V. Satpute, R. Ghodhbani, et al., “Non-linear thermal radiation impacts on MHD nanofluid flow in a rotating channel with Darcy-forccheimer model:An entropy analysis,” J. Rad. Res. Appl. Sci. 18(1), 101228 (2025). (2024). https://doi.org/10.1016/j.jrras.2024.101228

Y. Ouyanga, Md. Faisal, Md. Basir, K. Naganthran, and I. Pop, “Numerical analysis of MHD ternary nanofluid flow past a permeable stretching/shrinking sheet with velocity slip,” Alexandria Engineering Journal, 116, 427-438 (2025). https://doi.org/10.1016/j.aej.2024.12.089

Md.M. Hasan, M.J. Uddin, and S.A. Faroughi, “Magnetohydrodynamic nanofluids flow and heat transfer with radiative heat flux and exothermic chemical reactions,” International Journal of Thermofluids, 26, 101114 (2025). https://doi.org/10.1016/j.ijft.2025.101114

Shilpa, R. Mehta, and K. Senthilvadivu, “Artificial neural network analysis on heat and mass transfer in MHD Carreau ternary hybrid nanofluid flow across a vertical cylinder: A numerical computation,” International Journal of Thermofluids, 27, 101171 (2025). https://doi.org/10.1016/j.ijft.2025.101171

Z.H. Khan, O.D. Makinde, M. Usman, A. Rashid, and W.A. Khan, Fractional order analysis of radiating couple stress MHD nanofluid flow in a permeable wall channel. Journal of Taibah University for Science, 19(1), 2485396 (2025). https://doi.org/10.1080/16583655.2025.2485396

H. Vaidya, M. Bakouri, D. Tripathi, I. Khan, A.M. Alqahtani, K.V. Prasad, and R. Choudhari, “Significance of thermal radiation on peristaltic flow of Phan-Thien-Tanner MHD nanofluid containing gold nanoparticles with applications in cancer medications,” Journal of Radiation Research and Applied Sciences, 18(1), 101212 (2024). https://doi.org/10.1016/j.jrras.2024.101212

E.O. Fatunmbi, A.M. Obalalu, S.O. Salawu, U. Khand, N. Abdullah, S, Elattar, and R. Ghodhbani, Refka, “Aspects of heat transfer hybridized micropolar water-based iron oxide and silver nanoparticles across a stretching bidirectional sheet with thermal radiation,” Journal of Radiation Research and Applied Sciences, 18, 101220 (2024). https://doi.org/10.1016/j.jrras.2024.101220

S. Saranya, P. Ragupathi, and Q.M. Al-Mdallal, “Impact of micropolar effects on nanofluid flow between two disks,” International Journal of Thermo-fluids, 26, 101050 (2025). https://doi.org/10.1016/j.ijft.2024.101050

M.A. Iqbal, N. Khan, A.H. Alzahrani, and Y. Khan, “Thermophoretic particle deposition in bioconvection flow of nanofluid with microorganisms and heat source: Applications of nanoparticle and thermal radiation,” Journal of Radiation Research and Applied Sciences, 18, 101305 (2025). https://doi.org/10.1016/j.jrras.2025.101305

M.S. Alqurashi, F.S. Bayones, S.M. Abo-Dahab, A.M. Abd-Alla, and M.S. Soliman, “Mixed convection effect on MHD Oldroyd-B nanofluid flow over a stretching sheet through a porous medium with viscous dissipation-chemical engineering applications,” Alexandria Engineering Journal, 125, 507-525 (2025). https://doi.org/10.1016/j.aej.2025.04.056

M.D. Afifi, A. Jahangiri, and M. Ameri, “Numerical and analytical investigation of Jeffrey nanofluid convective flow in magnetic field by FEM and AGM,” International Journal of Thermofluids, 25, 100999 (2024). https://doi.org/10.1016/j.ijft.2024.100999

U.K. Suma, M.M. Billah, A.R. Khan, and K.E. Hoque, “Magnetohydrodynamic mixed convective heat transfer augmentation in a rectangular lid-driven enclosure with a circular hollow cylinder utilizing nanofluids,” International Journal of Thermofluids, 25, 101014 (2024). https://doi.org/10.1016/j.ijft.2024.101014

Md. Irfan, T. Muhammad, M. Rashid, M.S. Anwar, S.S. Abas, and P.V.S. Narayana, “Numerical study of nonlinear thermal radiation and Joule heating on MHD bioconvection Carreau nanofluid with gyrotactic microorganisms,” Journal of Radiation Research and Applied Sciences, 18, 101254 (2024). https://doi.org/10.1016/j.jrras.2024.101254

U.K. Suma, M.M Billah, and A.R. Khan, “Optimization and sensitivity analysis of unsteady MHD mixed convective heat transfer in a lid-driven cavity containing a double-pipe circular cylinder using nanofluids,” International Journal of Thermofluids, 27, 101197 (2025). https://doi.org/10.1016/j.ijft.2025.101197

P. Deepalakshmi, G. Shankar, E.P. Siva, D. Tripathi, and A.O. Beg, “MHD analysis of couple stress nanofluid through a tapered non-uniform channel with porous media and slip-convective boundary effects,” International Journal of Thermofluids, 27, 101208 (2025). https://doi.org/10.1016/j.ijft.2025.101208

U. Habiba, M.N. Hudha, B. Neogi, S. Islam, and M.M. Rahman, “Numerical exploration on n-decane nanofluid based MHD mixed convection in a lid driven cavity: impact of magnetic field and thermal radiation,” International Journal of Thermofluids, 27, 101209 (2025). https://doi.org/10.1016/j.ijft.2025.101209

B.K. Mahatha, R. Nandkeolyar, G.K. Mahato, and P. Sibanda, “Dissipative Effects in Hydromagnetic Boundary Layer Nanofluid Flow Past A Stretching Sheet with Newtonian Heating,” Journal of Applied Fluid Mechanics, 9(4), 1977-1989 (2016). https://doi.org/10.18869/acadpub.jafm.68.235.24451

R. Nandkeolyar, B.K. Mahatha, G.K. Mahato, and P. Sibanda, “Effect of Chemical Reaction and Heat Absorption on MHD Nanoliquid Flow Past a Stretching Sheet in the Presence of a Transverse Magnetic Field,” Magnetochemistry, 4(1), 1-14 (2018). https://doi.org/10.3390/magnetochemistry4010018

G.K. Mahato, B.K. Mahatha, R. Nandkeolyar, and B. Patra, “The Effects of Chemical Reaction on Magnetohydrodynamic Flow and Heat transfer of a Nanofluid past a Stretchable Surface with Melting,” AIP Conference Proceedings, 2253, 020011 (2020). https://doi.org/10.1063/5.0019205

G.K. Mahato, B.K. Mahatha, S. Ram, and S.B. Padhi, “Radiative and Convective Heat Transfer on MHD Stagnation point Nanofluid Flow past a Stretchable Surface with Melting,” AIP Conference Proceedings, 2435, 020037 (2022). https://doi.org/10.1063/5.0083936

B.K. Mahatha, S.B. Padhi, G.K. Mahato, and S. Ram, “Radiation, Chemical Reaction and Dissipative Effects on MHD Stagnation Point Nano-Fluid Flow Past a Stretchable Melting Surface,” AIP Conference Proceedings, 2435, 020040 (2022). https://doi.org/10.1063/5.0083933

R.H. Hameed, R.A. Hussein, Q.H. Al-Salami, M.A. Alomari, A.M. Hassan, F.Q.A. Alyousuf, F. Alqurashi, et al.,” Free convection investigation for a Casson-based Cu-H_2O nanofluid in semi parabolic enclosure with corrugated cylinder,” Heliyon, 11, e40960 (2024). https://doi.org/10.1016/j.heliyon.2024.e40960

S. Zeb, Z. Ullah, A.B. Albidah, I, Khan, and W.A. Khan, “The significance of heat transfer through natural convection in stagnation point flow of prandtl fluid,” Results in Physics, 68, 108087 (2024). https://doi.org/10.1016/j.rinp.2024.108087

M.D Afifi, A. Jahangiri, and Md. Ameri, “Investigation of natural convection heat transfer in MHD fluid within a hexagonal cavity with circular obstacles,” International Journal of Thermofluids, 25, 101024 (2024). https://doi.org/10.1016/j.ijft.2024.101024

M. Saghafian, M. Moslehi, and O.A. Akbari, “Magnetohydrodynamic unsteady natural convection slip flow in a vertical parallel plate microchannel heated with constant heat flux,” Heliyon, 11, e41502 (2024). https://doi.org/10.1016/j.heliyon.2024.e41502

R. Nciri, A.E.A. Awouda, A.A. Musa, H.G. Alshomrani, and F. Nasri, “Numerical Simulation of Natural Convection in a Chamfered Square Cavity with Fe3O4-Water Nanofluid and Magnetic Excitation,” Engineering, Technology & Applied Science Research, 15(1), 20523–20528 (2025). https://doi.org/10.48084/etasr.9775

A. Ali, Rabia, S. Hussain, and M. Ashraf, “Theoretical investigation of unsteady MHD flow of Casson hybrid nanofluid in porous medium: Applications of thermal radiations and nanoparticle,” Journal of Radiation Research and Applied Sciences, 17(1), 101029 (2024). https://doi.org/10.1016/j.jrras.2024.101029

Z.H. Khan, W.A. Khan, S.M. Ibrahim, K. Swain, Z. Huang, “Impact of multiple slips and thermal radiation on heat and mass transfer in MHD Maxwell hybrid nanofluid flow over porous stretching sheet,” Case Studies in Thermal Engineering, 61, 104906 (2024). https://doi.org/10.1016/j.csite.2024.104906

N. Manjunatha, M.G. Reddy, A. Aloqaily, S. Aljohani, A.R. Reddy, F. Ali, and N. Mlaiki, “Radiation effects on rotating system free convective nanofluid unsteady flow with heat source and magnetic field,” Partial Differential Equations in Applied Mathematics, 13, 101083 (2025). https://doi.org/10.1016/j.padiff.2025.101083

R.D. Alsemiry, S.E. Ahmed, M.R. Eid, and M.E. Essam, “ANN-Based Prediction and RSM Optimization of Radiative Heat Transfer in Couple Stress Nanofluids with Thermodiffusion Effects,” Process, 13(4), 1055 (2025). https://doi.org/10.3390/pr13041055

A. Khan, Hashim, M. Farooq, W. Jamshed, B.M. Makhdoum, and N.A.A.M. Nasir, “Nonlinear convective heat transfer in Maxwell nanofluids with quadratic thermal stratification over a Magnetized inclined Surface: Applications towards engineering Industry,” Ain Shams Engineering Journal, 16, 103432 (2025). https://doi.org/10.1016/j.asej.2025.103432

W. Li, S.A. Khan, M. Shafqat, Q. Abbas, T. Muhammad, and M. Imran, “Computational analysis for efficient thermal transportation of ternary hybrid nanofluid flow across a stretching sheet with Cattaneo-Christov heat flux model,” Case Studies in Thermal Engineering, 66, 105706 (2024). https://doi.org/10.1016/j.csite.2024.105706

S.R. Mishra, I. Haq, R. Baithalu, S. Panda, and A. Saeed, “Transient radiative flow of hybrid nanofluid under slip effects over an impermeable spinning disk with porous material,” Partial Differential Equations in Applied Mathematics, 14, 101154 (2025). https://doi.org/10.1016/j.padiff.2025.101154

S.M. Sait, A. Riaz, S. Shaheen, R. Ellahi, and S. Akram, “Thermally induced cilia flow of Prandtl nanofluid under the influence of electroosmotic effects with boundary slip,” Journal of Taibah University for Science, 19, 2484877 (2025). https://doi.org/10.1080/16583655.2025.2484877

Y. Ouyang, Md. Faisal, Md. Basir, K. Naganthran, and I. Pop, “Exploring velocity slip and stability in unsteady ternary nanofluid flow past a permeable stretching/shrinking sheet,” Journal of Taibah University for Science, 19, 2487302 (2025). https://doi.org/10.1080/16583655.2025.2487302

B.K. Mahatha, R. Nandkeolyar, G. Nagaraju, and M. Das, “MHD stagnation point flow of a nanofluid with velocity slip, Non-linear radiation and Newtonian heating,” Procedia Engineering, 127, 1010-1017 (2015). https://doi.org/10.1016/j.proeng.2015.11.450

Published
2025-09-08
Cited
How to Cite
Gifty, G., Padhi, S., Mahatha, B., & Mahato, G. (2025). Effects of Natural Convection and Radiation on MHD Stagnation Point Nano-Fluid Flow past a Stretchable Surface with Velocity Slip and Newtonian Heating. East European Journal of Physics, (3), 209-222. https://doi.org/10.26565/2312-4334-2025-3-18