Numerical Investigation of Joule Heating Effect on Micropolar Nanofluid Flow Over an Inclined Surface in Presence of Heat Source
Abstract
The MHD boundary layer flow of a micropolar nanofluid across an inclined stretching surface in the presence of a heat source is examined in this paper. This study employs permeable inclined surfaces with energy flow as its primary observation with heat radiation and the Dufour impact. The impact of Joule heating, viscous dissipation and heat source on the porous media are also considered. This study uses similarity transformations to convert nonlinear partial differential equations that governs the flow to ordinary differential equations. The bvp4c computational technique in MATLAB is used to illustrate the numerical findings. Based on the findings we were able to determine that the velocity and angular velocity of the fluid increases with the angle of inclination, the temperature profile increases with the increasing values of Eckert number whereas the concentration profile decreases with Eckert number. These findings are further illustrated through numerical data presented in table and visual representations in figures. These findings will enable engineers and scientists to better control fluid flow, leading to improvements in complex systems that rely on it.
Downloads
References
B.C. Sakiadis, “Boundary‐layer behavior on continuous solid surfaces: I. Boundary‐layer equations for two‐dimensional and axisymmetric flow,” AIChE J. 7(1), 26‐28 (1961).
P.S. Gupta, and A.S. Gupta, “Heat and mass transfer on a stretching sheet with suction or blowing,” Can. J. Chem. Eng. 55, 744 746 (1977). http://dx.doi.org/10.1002/cjce.5450550619
A. Mitra, “Simulation on Natural Convection of a Nanofluid along an Isothermal Inclined Plate,” IOP Conference Series: Materials Science and Engineering, 225, 012096 012096 (2017). https://doi.org/10.1088/1757-899x/225/1/012096
W. Deebani, L.A. Lund, A.F. Chandio, U. Yashkun, Z. Shah, and A. Alshehri, “Convective micropolar fluid over inclined surface with thermal radiation and velocity slip condition effects: Duality and stability,” International Journal of Modern Physics B, 38(08), 2450114 (2023). https://doi.org/10.1142/s0217979224501145
P. Roja, T.S. Reddy, S.M. Ibrahim, M. Parvathi, G. Dharmaiah, and G. Lorenzini, “Magnetic Field Influence on Thermophoretic Micropolar Fluid Flow over an Inclined Permeable Surface: A Numerical Study,” Journal of Applied and Computational Mechanics, 10(2), 369-382 (2024). https://doi.org/10.22055/jacm.2024.44739.4265
P. Suriyakumar, and S.A. Devi, “Effects of suction and internal heat generation on hydromagnetic mixed convective nanofluid flow over an inclined stretching plate,” European Journal of Advances in Engineering and Technology, 2(3), 51-58 (2015). https://ejaet.com/PDF/2-3/EJAET-2-3-51-58.pdf
M. Ziaei-Rad, A. Kasaeipoor, M.M. Rashidi, and G. Lorenzini, “A similarity solution for mixed-convection boundary layer nanofluid flow on an inclined permeable surface,” Journal of Thermal Science and Engineering Applications, 9(2), 021015 (2017). https://doi.org/10.1115/1.4035733
M. Selva rani, and A. Govindarajan, “Radiative fluid flow of a nanofluid over an inclined plate with non‐uniform surface temperature,” J. Phys. Conf. Ser. 1000, 012173 (2018). https://doi.org/10.1088/1742-6596/1000/1/012173
K. Rafique, M.I. Anwar, and M. Misiran, “Numerical Study on Micropolar Nanofluid Flow over an Inclined Surface by Means of Keller-Box,” Asian Journal of Probability and Statistics, 4(4), 1–21 (2019). https://doi.org/10.9734/ajpas/2019/v4i430122
K. Rafique, M.I. Anwar, M. Misiran, and M.I. Asjad, “Energy and mass transport of micropolar nanofluid flow over an inclined surface with Keller‐Box simulation,” Heat Transfer, 49(8), 4592-4611 (2020). https://doi.org/10.1002/htj.21843
M.R. Eid, W. Jamshed, B.S. Goud, R.W. Ibrahim, S.M. El Din, A. Abd-Elmonem, and N.S.E. Abdalla, “Mathematical analysis for energy transfer of micropolar magnetic viscous nanofluid flow on permeable inclined surface and Dufour impact,” Case Studies in Thermal Engineering, 49, 103296 (2023). https://doi.org/10.1016/j.csite.2023.103296
T. Walelign, and E. Seid, “Mathematical model analysis for hydromagnetic flow of micropolar nanofluid with heat and mass transfer over inclined surface,” International Journal of Thermofluids, 21, 100541 (2024). https://doi.org/10.1016/j.ijft.2023.100541
R.S. Yadav, and P.R. Sharma, “Effects ff radiation and viscous dissipation on MHD boundary layer flow due to an exponentially moving stretching sheet in porous medium,” Asian J. Multidiscip. Stud. 2(8), 119–124 (2014).
D. Srinivasacharya, and P. Jagadeeshwar, “MHD flow with Hall current and Joule heating effects over an exponentially stretching sheet,” Nonlinear Eng. Model. Appl. 6(2), 101–114 (2017). https://doi.org/10.1515/nleng-2016-0035
S. Jayanthi, and H. Niranjan, “Effects of joule heating, viscous dissipation, and activation energy on nanofluid flow induced by MHD on a vertical surface,” Symmetry, 15(2), 314 (2023). https://doi.org/10.3390/sym15020314
V.R. Prasad, N.U.B. Varma, J. Bodduna, et al., “Effects of hall current and thermal diffusion on unsteady MHD rotating flow of water-based Cu, and TiO2 nanofluid in the presence of thermal radiation and chemical reaction,” Multiscale and Multidiscip. Model. Exp. and Des. 8, 161 (2025). https://doi.org/10.1007/s41939-025-00736-z
S. Rosseland, Astrophysik und atom-theoretische Grundlagen, (Springer, 1931). https://doi.org/10.1007/978-3-662-26679-3
F. Shah, and M.I. Khan, “Analytical Investigation on the Combined Impacts of the Soret and Dufour Phenomenon in the Forced Convective Flow of a Non-newtonian Nanofluid by the Movable Riga Device,” Waves Random Complex Media, 1 18 (2023). https://doi.org/10.1080/17455030.2022.2154407
K. Rafique, M.I. Anwar, M. Misiran, I. Khan, A.H. Seikh, E.-S.M. Sherif, and K. Sooppy Nisar, “Keller-Box Simulation for the Buongiorno Mathematical Model of Micropolar Nanofluid Flow over a Nonlinear Inclined Surface,” Processes, 7(12), 926 (2019). https://doi.org/10.3390/pr7120926
W. Khan, and I. Pop, “Boundary-layer flow of a nanofluid past a stretching sheet,” International Journal of Heat and Mass Transfer, 53(11-12), 2477-2483 (2010). https://doi.org/10.1016/j.ijheatmasstransfer.2010.01.032
Copyright (c) 2025 Keshab Borah, Jadav Konch, Shyamanta Chakraborty, Abhijit Konch, Salma Akhtar

This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).