Numerical Analysis of Thermal Radiation and Viscous Dissipation Effects on Heat Transfer in a Newtonian Boundary Layer Flow between Porous Plates

Authors

  • Maha Mohammed Ali Thanon Department of Mathematics, College Education of Pure Science, Mosul University, Nineveh, Iraq.
  • Alaa Abdul Rahim Ahmed Department of Mathematics, College Education of Pure Science, Mosul University, Nineveh, Iraq.

DOI:

https://doi.org/10.29304/jqcsm.2026.18.22638

Keywords:

Steady state, Thermal radiation, Prandtl number, Rayleigh number, FDT

Abstract

In the present study, the boundary layer flow of a Newtonian fluid between two parallel porous plates separated by a fixed distance is examined numerically. The influence of viscous dissipation and thermal radiation on the flow field and heat transfer characteristics is specifically considered. The mathematical model of the problem is developed using the governing equations of mass, momentum, and energy for a Newtonian fluid. Suitable nondimensional variables are introduced to convert the governing partial differential equations into coupled ordinary differential equations, which are solved using the finite difference method. A graphical discussion is used to discuss the physical properties of the Reynolds number, Darcy number, Hartmann parameter, Eckert number, Radiation parameter, Rayleigh number and Prandtl number. The variation of a velocity and temperature profiles for various relevant parameters is investigated using graphs.

Downloads

Download data is not yet available.

References

Remus D.E., Nicolina P., and Rodica B. Heat and mass transfer analysis for the viscous fluid flow dual approximate solutions. Mathematics 2023, 11, 1648.

Nandeppanavar M.M, and Siddalingappa M.N.Effect of viscous dissipation and thermal radiation over a non-linearly stretching sheet through porous medium, Int. J. of Applied Mechanics and Engineering, 2013, vol.18, No.2, pp.461-474.

Hammadi, M. A., & Dawood, A. S. (2015). Numerical analysis of fluid flow and

heat transfer by forced convection in channel with one-sided semicircular sections and filled with porous media. Journal of Engineering, 21(05), 1-21.‏

Khan, N.S. Islam, S., Gul, T., Khan, I., Khan, W., Ali, L. Thin film flow of a

second-grade fluid in a porous medium past a stretching sheet with heat transfer. Alex.

Eng. J. 2018, 57, 1019–1031.

Khan, N.S., Gul, T., Islam, S., Khan, I.,Alqahtani, A.M.,Alshomrani, A.S. Magneto hydrodynamic Nano-liquid thin film sprayed on a stretching cylinder with heat transfer. Appl. Sci. 2017, 7, 271.

Zuhra, S., Khan, N.S., Khan, M.A., Islam, S., Khan, W.,Bonyah, E. Flow and heat transfer in water based liquid film fluids dispensed with grapheme nanoparticles. Results Phys. 2018, 8, 1143–1157.

Bilal, A.M.,Alsaedi, A., Hayat, T., Shehzad, S.A. Convective Heat and Mass Transfer in Three-Dimensional Mixed Convection Flow of Viscoelastic Fluid in Presence of Chemical Reaction and Heat Source/Sink. Comp. Math. Math. Phys. 2017, 57, 1066–1079.

Shehzad, S.A., Hayat, T.,Alsaedi, A. Flow of a thixotropic fluid over an exponentially stretching sheet with heat transfer. J. Appl.Mech. Tech. Phys. 2016, 57, 672–680.

Mehta, T., Mehta, R., & Mehta, A. (2020). Oscillatory fluid flow and heat transfer through porous medium between parallel plates with inclined magnetic field, radiative heat flux and heat source. International Journal of Applied Mechanics and Engineering, 25(2), 88-102.‏

Akhter, S., & Ashraf, M. (2021). Numerical study of flow and heat transfer in a porous medium between two stretchable disks using quasi-linearization method. Thermal Science, 25(2 Part A), 989-1000.‏

Baili, J., M J, R. N. K., et al. (2023). Multilayer neural networks for studying three-dimensional flow of non-Newtonian fluid flow with the impact of magnetic dipole and gyrotactic microorganisms. Physica Scripta, 98(11), 115228. https://doi.org/10.1088/1402-4896/acfe5e

Wang F, Jamshed W, Usman, et al. Solar radiative and chemical reactive influences on electromagnetic Maxwell nanofluid flow in buongiorno model. J MagnMagn Mater. 2023; 576:170748. doi: 10.1016/j.jmmm.2023.170748

Qureshi MZA, Faisal M, Raza Q, et al. Morphological nanolayer impact on hybrid nanofluids flow due to dispersion of polymer/CNT matrix nanocomposite material. AIMS Math. 2023;8(1):633–656. doi: 10.3934/math.2023030.

Cheruku V, Reddy BR. Numerical study in effect of thermal slip on two fluid flow in a vertical channel.Transactions On Energy Sys And Engineering Appl. 2023;4(2):1–18. doi: 10.32397/tesea.vol4.n2.517

Hammodat, A. A., Al-Obaidi, I., &Algwauish, G. M. (2024). A Study of unstable MHD free convection over a vertical plate in a two dimensions under the influence of radiation. Al-Qadisiyah Journal of Pure Science, 29(2), 20.‏

Abdulsattar, A. A., &Hammodat, A. A. (2025, April). Flow and heat transfer between two parallel surfaces in a porous medium under the influence of a magnetic field and a radiant heat source. In AIP Conference Proceedings (Vol. 3282, No. 1, p. 050070). AIP Publishing LLC.

Cogley, A. C., Vincent, W. G., & Gilles, S. E. (1968). Differential approximation for radiative transfer in a nongrey gas near equilibrium. Aiaa Journal, 6(3), 551-553.

HammodatA.A., and Dawood H. (2022). Numerical solution of electromagnetic problem in horizontal porous medium, ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS – N. 47–2022 (1118–1135).

Wilson H.B., and et al. Advanced Mathematics and Mechanics Applications using MATLAB 3rd Ed., Chapman and Hall/CRC, USA.2003.

Downloads

Published

2026-06-27

How to Cite

Mohammed Ali Thanon, M., & Abdul Rahim Ahmed, A. (2026). Numerical Analysis of Thermal Radiation and Viscous Dissipation Effects on Heat Transfer in a Newtonian Boundary Layer Flow between Porous Plates. Journal of Al-Qadisiyah for Computer Science and Mathematics, 18(2), Math 53–63. https://doi.org/10.29304/jqcsm.2026.18.22638

Issue

Section

Math Articles