MAGNETOHYDRODYNAMICS FLOW OF A FREE CONVECTIVE DUSTY FLUID BETWEEN TWO PARALLEL OSCILLATING VERTICAL POROUS PLATES WITH DISSIPATIVE EFFECTS

Authors

  • Olwafemi Waheed Lawal
    Department of Mathematics, Tai Solarin University of Education Ijagun Ogun State
  • Osewanu D. Sottin
  • Sikiru A. Babatunde

Keywords:

Magnetic field, Dusty fluid, Finite difference method, Convective flow, Maple 23

Abstract

This research investigates the unsteady Magnetohydrodynamics (MHD) flow of a free convective dusty fluid between two parallel oscillating vertical porous plates with dissipative effects. The dusty fluid is thought to be moving along the infinite plates as a result of an outside magnetic force.  The temperature, velocity and pressure of the particles flowing along the channel are kept constant. The non-linear PDEs that govern the flow of the fluid are solved numerically using finite difference method and Maple 23 is used to implement and simulate the obtained scheme. The result are analyzed and presented inform of graphs. It is established that the effect of Reynolds number, viscoelastic parameter and Prandtl number on the velocity and temperature distribution are subdued by magnetic field.

Dimensions

Saffman, P.G. (1962). On the stability of a laminar flow of a dusty gas. Journal of Fluid Mechanics, Vol. 13, pp. 120–131.

Marble, F. E. (1963). Dynamics of a gas containing small solid particles. In combustion and propulsion. 5th AGARD colloquium, Pergamon press

Dheia G. Salih Al-Khafajy (2020). Radiation and Mass Transfer Effects on MHD Oscillatory Flow for Carreau Fluid through an Inclined Porous Channel. Iraqi Journal of Science, Vol.61, No.6, pp.1426–1432.

Bang C.N., Sri Hari B.V., Nagaraju V.V. & Sagar G.Y. (2022). Radiation and Mass Transfer Effects on MHD Free Convection Flow Over an Inclined Plate Journal of Positive School Psychology, Vol.6, No.5, Pp.697–706.

Sreedhara R. G., Victor M. J., Nagarani, P., Sreenivasulu, P. & Judith, N. B.. (2022). Numerical Study of Unsteady MHD Poiseuille Flow with Temperature-Dependent Viscosity Through a Porous Channel Under an Oscillating Pressure Gradient. Palestine Journal of Mathematics, Vol.11, (Special Issue III), pp.41–52.

Mustafa, R. A. & Saleh, A. K. (2021). Unsteady MHD Flow and Heat Transfer Through Porous Medium between Parallel Plates with Periodic Magnetic Field and Constant Pressure Gradient. International Journal of Engineering Research and Technology, Vol.14, No.8, pp.782–787.

Mrinmoy G., Krishna G. S., Biju, K. D. & Amarjyoti, G.. (2023). The Unsteady Magnetohydrodynamic Flow and Heat Transfer between Two Non-Conducting Infinite Vertical Parallel Plates with Inclined Magnetic Field. Mathematical Statistician and Engineering Applications, Vol.72, No.1, Pp.413–431.

Prusty,K.K & Senapati, M. (2020). Analytical Study of MHD Free Convective, Dissipative Boundary Layer Flow Pasta Porous Vertical Surface with Conjugate Soret Effect and Influence of Heat Source in the Presence of Thermal Radiation, Chemical Reaction and Constant Suction. International Journal of Engineering Research and Applications, Vol.10, Issue 6, (Series-V), pp.39-56.

Farhad A., Muhammad B., Madeha G., Ilyas K., Nadeem, A. S. & Kottakkaran, S. N. (2020). A Report On Fluctuating Free Convection Flow Of Heat Absorbing Viscoelastic Dusty Fluid Past In A Horizontal Channel With MHD Efect. Scientific Reports Online Journal, (2020) 10:8523, https://doi.org/10.1038/s41598-020-65252-1

Nagaraju V., Seshagiri R., Rami R. & Sri H. B. (2021). Radiation Effect on Unsteady Free Convection Oscillatory Couette Flow Through a Porous Medium with Peroidic Wall Temperature and Heat Generation. Journal of Mathematical Control Science and Applications, Vol.7 No.2, Pp.269-283.

Vidhya, M., Sheeba, Juliet, S., Govindarajan, A., Mohamad R. A., & Priyadarshini, E., (2020). Effect of Radiation and Heat Source on Unsteady MHD Free Convective Flow past a Vertical Porous Plate. Research Article, AIP Conf. Proc. 2277, 030015 https://doi.org/10.1063/5.0025823.

Sakthikala, R. & Lavanya.V. (2020). MHD Oscillatory Flow of Non Newtonian Fluid through Porous Medium in the Presence of Radiation and Chemical Diffusion with Hall Effects. International Journal on Emerging Technologies, 11(2): 1093-1099(2020) ISSN No. (Print): 0975-8364 ISSN No. (Online): 2249-3255.

Linah, M. O. & Isaac, O.. (2023). Heat and Mass Transfer in MHD Flow about an Inclined Porous Plate. Journal of Engineering Research and Reports, Vol.25, Issue 4, Pp 106-115.

Ugwu U.C., Cole A.T., Faruk A.I., Adedayo O.A., Asonibare F.I. & Fadepo J.T. (2022). Effects of MHD Free Convective Heat and Mass Transport Flow Past An Infinite Plate with Viscous Energy Dissipation. Abacus (Mathematics Science Series), Vol.49, No.2, pp.267-288.

Biswas, M. A, Mondal, M. & S.F. Ahmmed. (2019). MHD Free Convection and Heat Transfer Flow Through a Vertical Porous Plate in the Presence of Chemical Reaction. Frontiers in Heat and Mass Transfer (FHMT), Global Digital Central ISSN: 2151-8629, 11, 13 (2018), pp.1-10.

Published

28-07-2024

How to Cite

MAGNETOHYDRODYNAMICS FLOW OF A FREE CONVECTIVE DUSTY FLUID BETWEEN TWO PARALLEL OSCILLATING VERTICAL POROUS PLATES WITH DISSIPATIVE EFFECTS. (2024). FUDMA JOURNAL OF SCIENCES, 8(3), 555-562. https://doi.org/10.33003/fjs-2024-0803-2501

Issue

Vol. 8 No. 3 (2024): FUDMA Journal of Sciences - Vol. 8 No. 3 (Special Issue)

Section

Research Articles
Copyright & Licensing

FUDMA Journal of Sciences

How to Cite

MAGNETOHYDRODYNAMICS FLOW OF A FREE CONVECTIVE DUSTY FLUID BETWEEN TWO PARALLEL OSCILLATING VERTICAL POROUS PLATES WITH DISSIPATIVE EFFECTS. (2024). FUDMA JOURNAL OF SCIENCES, 8(3), 555-562. https://doi.org/10.33003/fjs-2024-0803-2501

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