Numerical Computation of Transient Magnetohydrodynamic Micropolar Fluid Flow through a Permeable Surface

Authors

Keywords:

Micropolar Fluid, Magnetohydrodynamic, Non-Constant Viscosity, Permeable Sheet

Abstract

The study of magnetohydrodynamic (MHD) micropolar fluid flows through permeable media is gaining increasing relevance due to its broad applicability in industrial and geophysical processes. Micropolar fluids, which exhibit microstructure and microrotation effects, offer a more realistic description of complex fluids such as lubricants, blood, and polymeric suspensions.The present study investigates into the transient phenomenon of a magneto-micropolar fluid configured in a permeable material device. This analysis suits flow in reservoirs, metal casting, and composite manufacturing, petroleum industry, particularly in modelling fluid flow in porous rocks during enhanced oil recovery operations. The understanding of micropolar fluid dynamics in permeable media has been applied to model groundwater flow and contamination remediation strategies. The boundary layer, Boussinesq approximations and some necessary assumptions are used to formulate the mathematical model for the present problem. The model consists of the effects of the non-constant thermophysical properties, viscous and Joule heating properties. The highly coupled nonlinear equations are solved numerically using the unconditionally stable Runge-Kutta Fehlberg method and the shooting techniques. The consequence of the numerical analysis conducted is displayed in various plots and tables for the interpretation of results. The results indicate a reduction in the momentum and thermal boundary structures while the transient term is enhanced is enhanced as reported in the existing literature. The porosity and the magnetic field parameters caused a decelerating motion and raised the thermal distribution as the material term boosts the fluid flow.

Dimensions

Ayano, M. S., Sikwila, S. T., & Shateyi, S. (2018). MHD mixed convection micropolar fluid flow through a rectangular duct. Mathematical Problems in Engineering, 2018, 1–8.

Das, K., Acharya, N., & Kundu, P. K. (2016). MHD micropolar fluid flow over a moving plate under slip conditions: An application of Lie group analysis. U.P.B. Scientific Bulletin, Series A, 78(2), 1–10.

Eringen, A. C. (1966). Theory of micropolar fluids. Journal of Mathematical Analysis and Applications, 16, 1–18.

Eringen, A. C. (1972). Theory of thermo-microfluids. Journal of Mathematical Analysis and Applications, 38, 480–496.

Fatunmbi, E. O., & Adeniyan, A. (2018). MHD stagnation point-flow of micropolar fluid past a permeable stretching plate in porous media with thermal radiation, chemical reaction and viscous dissipation. Journal of Advances in Mathematics and Computer Science, 26(1), 1–19.

Fatunmbi, E. O., & Okoya, S. S. (2020). Heat transfer in boundary layer magneto-micropolar fluids with temperature-dependent material properties over a stretching sheet. Advances in Materials Science and Engineering, 2020, 1–11.

Fatunmbi, E. O., & Okoya, S. S. (2021). Electromagnetohydrodynamic micropolar-Casson fluid boundary layer flow and heat transfer over a stretching material featuring temperature-based thermophysical properties in a porous medium. Journal of the Nigerian Mathematical Society, 40(3), 245–268.

Fatunmbi, E. O., Okoya, S. S., & Makinde, O. D. (2019). Convective heat transfer analysis of hydromagnetic micropolar fluid flow past an inclined nonlinear stretching sheet with variable thermophysical properties. Diffusion Foundations, 26, 63–77.

Fatunmbi, E. O., Ogunseye, H. A., & Sibanda, P. (2020). Magnetohydrodynamic micropolar fluid flow in a porous medium with multiple slip conditions. International Communications in Heat and Mass Transfer, 115, 104577.

Gumber, P., Yaseen, M., Rawat, K., & Kumar, M. (2022). Heat transfer in micropolar hybrid nanofluid flow past a vertical plate in the presence of thermal radiation and suction/injection effects. Partial Differential Equations in Applied Mathematics, 5, 100240.

Hsiao, K. L. (2016). Combined electrical MHD heat transfer thermal extrusion system using Maxwell fluid with radiative and viscous dissipation effects. Applied Thermal Engineering. https://doi.org/10.1016/j.applthermaleng.2016.08.208

Jabeen, K., Mushtaq, M., & Akram, R. M. (2020). Analysis of the MHD boundary layer flow over a nonlinear stretching sheet in a porous medium using semi-analytical approaches. Mathematical Problems in Engineering, 2020, Article ID 3012854, 1–9.

Jain, S., & Gupta, P. (2019). Entropy generation analysis of MHD viscoelasticity-based micropolar fluid flow past a stretching sheet with thermal slip and porous media. International Journal of Applied and Computational Mathematics, 5, 61. https://doi.org/10.1007/s40819-019-0643-x

Kamel, M. T., Roach, D., & Hamdan, M. H. (2014). On the micropolar fluid flow through porous media. Proceedings of the 11th WSEAS International Conference on Mathematical Methods, Computational Techniques and Intelligent Systems, 11, 1–9.

Khan, S. A., Nie, Y., & Ali, A. (2019). Multiple slip effects on magnetohydrodynamic axisymmetric buoyant nanofluid flow above a stretching sheet with radiation and chemical reaction. Symmetry, 11, 1171. https://doi.org/10.3390/sym11091171

Khan, U., Mohyud-Din, S. T., & Bin-Mohsin, B. (2016). Convective heat transfer and thermo-diffusion effects on flow of nanofluid towards a permeable stretching sheet saturated by a porous medium. Aerospace Science and Technology, 50, 196–203.

Lukaszewicz, G. (1999). Micropolar fluids: Theory and applications (1st ed.). Birkhäuser.

Lund, L. A., Omar, Z., & Khan, I. (2019). Mathematical analysis of magnetohydrodynamic (MHD) flow of micropolar nanofluid under buoyancy effects past a vertical shrinking surface: Dual solutions. Heliyon, 5(9), 1–10.

Makinde, O. D., Khan, W. A., & Khan, Z. H. (2015). Buoyancy effects on MHD stagnation point flow and heat transfer of a nanofluid past a convectively heated stretching/shrinking sheet. International Journal of Heat and Mass Transfer, 62, 526–533.

Nagaraju, G., & Murthy, J. V. R. (2014). Unsteady flow of a micropolar fluid generated by a circular cylinder subject to longitudinal and torsional oscillations. Theoretical and Applied Mechanics, 41(1), 71–91.

Rashad, A. R., Khan, W. A., EL-Kabeir, S. M. M., & EL-Hakiem, M. A. (2019). Mixed convective flow of micropolar nanofluid across a horizontal cylinder in a saturated porous medium. Applied Sciences, 9, 5241. https://doi.org/10.3390/app9235241

Tripathy, R. S., Dash, G. C., Mishra, S. R., & Hoque, M. M. (2017). Numerical analysis of hydromagnetic micropolar fluid along a stretching sheet embedded in porous medium with non-uniform heat source and chemical reaction. Engineering Science and Technology, 19, 1573–1581.

Upreti, H., Pandey, A. K., & Kumar, M. (2018). MHD flow of Ag-water nanofluid over a flat porous plate with viscous-Ohmic dissipation, suction/injection, and heat generation/absorption. Alexandria Engineering Journal, 57(3), 1839–1847. https://doi.org/10.1016/j.aej.2017.03.018

Yusuf, S.I., Ejeh S. and Olayiwola, R.O. (2021). Analysis of Leakages of Non-Viscous Flow in a Pipe Using Mass Flow Rate. Nigeria Journal of Physics, 30(2), 51-57.

Published

2025-06-10

How to Cite

Hammed, F. A., Akanbi, O. O., Usman, M. A., Onitilo, S. A., & Adeyemi, I. (2025). Numerical Computation of Transient Magnetohydrodynamic Micropolar Fluid Flow through a Permeable Surface. Nigerian Journal of Physics, 34(1), 102-109. https://doi.org/10.62292/njp.v34i1.2025.388

Issue

Vol. 34 No. 1 (2025): Nigerian Journal of Physics - Vol. 34 No. 1

Section

Articles
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How to Cite

Hammed, F. A., Akanbi, O. O., Usman, M. A., Onitilo, S. A., & Adeyemi, I. (2025). Numerical Computation of Transient Magnetohydrodynamic Micropolar Fluid Flow through a Permeable Surface. Nigerian Journal of Physics, 34(1), 102-109. https://doi.org/10.62292/njp.v34i1.2025.388

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