COUETTE FLUID FLOW THROUGH PARALLEL RIGA PLATE WITH ELECTROMAGNETIC FIELD

Authors

  • SONIA NASRIN Department of Mathematics, Jagannath University, Dhaka, Bangladesh.
  • RABINDRA NATH MONDAL Department of Mathematics, Jagannath University, Dhaka, Bangladesh.
  • MD MAHMUD ALAM Mathematics Discipline, Khulna University, Khulna, Bangladesh.

Keywords:

couette flow, magnetic field, riga plate, explicit finite difference

Abstract

The steady-state solution of Couette fluid flow through a parallel Riga plate with an electromagnetic field has been investigated. The system "Riga plate" refers to a specially designed surface with a grid of alternating electrodes that interacts with an electric or magnetic field to affect the behavior of fluid flow. This type of system might induce electromagnetic forces or induce a magnetic field in the fluid, leading to changes in its flow pattern. It is mostly utilized in industrial operations involving fluid flow issues. This is an attempt to research the impacts of viscous dissipation effects, thermal radiation, and melting heat on the Riga plate. The Riga plate can be used to control fluid flow in situations where an external magnetic or electric field is necessary because it functions as a tool to lessen skin friction and improve the phenomenon of heat transfer. Increased heat transfer in industrial processes or heat exchangers may result in more effective fluid-to-fluid energy transfer, which may enhance system performance as a whole. Additionally, it reduces the impacts of turbulence effects, making it easy to manage flow effectively and enhancing machine performance. The mathematical model includes the system of governing momentum and energy equations. The primary approach to solving the problem has been the explicit finite difference method. Matlab R2015a has been used as a secondary tool to simulate the results. For a number of variables of the dimensionless parameter, including the pressure gradient parameter, modified Hartmann number, Prandtl number, and Eckert number, the estimated results have been obtained. In the presence of the Riga plate, Eckert number helps to increase temperature and the modified Hartmann number impacts convective heat transmission because they slow down the fluid's motion. It may be inferred that as the modified Hartmann number increases, the MHD fluid's heat transmission mode gradually shifts from convection to conduction. It is possible that a large enough modified Hartmann number may completely halt the fluid's movement. Then, only conduction would be used to transmit heat. Graphical representations have been employed to illustrate the impact of relevant parameters on different distributions. Additionally, the skin friction and Nusselt number expressions have been presented alongside these visuals.

References

Ahmad, A., Asghar, S., Afzal, S. (2016): Flow of nanofluid past a Riga plate. – Journal of Magnetism and Magnetic Materials 402: 44-48.

Al-Nimr, M.A., Masoud, S. (1998): Unsteady free convection flow over a vertical flat plate immersed in a porous medium. – Fluid Dynamics Research 23(3): 153-160.

Angirasa, D., Peterson, G.P. (1997): Natural convection heat transfer from an isothermal vertical surface to a fluid saturated thermally stratified porous medium. – International Journal of Heat and Mass Transfer 40(18): 4329-4335.

Attia, H.A., Ewis, K.M. (2010): Unsteady MHD Couette flow with heat transfer of a viscoelastic fluid under exponential decaying pressure gradient. – Journal of Applied Science and Engineering 13(4): 359-364.

Ayub, M., Abbas, T., Bhatti, M.M. (2016): Inspiration of slip effects on electromagnetohydrodynamics (EMHD) nanofluid flow through a horizontal Riga plate. – The European Physical Journal Plus 131(6): 1-9.

Bég, O.A., Zueco, J., Takhar, H.S. (2009): Unsteady magnetohydrodynamic Hartmann–Couette flow and heat transfer in a Darcian channel with Hall current, ionslip, viscous and Joule heating effects: Network numerical solutions. – Communications in Nonlinear Science and Numerical Simulation 14(4): 1082-1097.

Chauhan, D.S., Rastogi, P. (2009): Hall current and heat transfer effects on MHD flow in a channel partially filled with a porous medium in a rotating system. – Turkish Journal of Engineering and Environmental Sciences 33(3): 167-184.

Das, S., Maji, S.L., Guria, M., Jana, R.N. (2009): Unsteady MHD Couette flow in a rotating system. – Mathematical and Computer Modelling 50(7-8): 1211-1217.

Fang, T. (2004): A note on the incompressible Couette flow with porous walls. – International Communications in Heat and Mass Transfer 31(1): 31-41.

Gailitis, A. (1961): On a possibility to reduce the hydrodynamical resistance of a plate in an electrolyte. – Applied Magnetohydrodynmics 12: 143-146.

Hasimoto, H. (1957): Boundary layer growth on a flat plate with suction or injection. – Journal of the Physical Society of Japan 12(1): 68-72.

Kuznetsov, A.V. (1998): Analytical investigation of Couette flow in a composite channel partially filled with a porous medium and partially with a clear fluid. – International Journal of Heat and Mass Transfer 41(16): 2556-2560.

Muhuri, K.P. (1963): Flow formation in Couette motion in magnetohydrodynamics with suction. – Journal of the Physical Society of Japan 18(11): 1671-1675.

Ochoa-Tapia, J.A., Whitaker, S. (1995a): Momentum transfer at the boundary between a porous medium and a homogeneous fluid-I. – Theoretical development. International Journal of Heat and Mass Transfer 38(14): 2635-2646.

Ochoa-Tapia, J.A., Whitaker, S. (1995b): Momentum transfer at the boundary between a porous medium and a homogeneous fluid-II. – Comparison with experiment. International Journal of Heat and Mass Transfer 38(14): 2647-2655.

Pantokratoras, A. (2011): The Blasius and Sakiadis flow along a Riga-plate. – Progress in Computational Fluid Dynamics, An International Journal 11(5): 329-333.

Pantokratoras, A., Magyari, E. (2009): EMHD free-convection boundary-layer flow from a Riga-plate. – Journal of Engineering Mathematics 64(3): 303-315.

Raptis, A., Kafousias, N. (1982): Magnetohydrodynamic free convective flow and mass transfer through a porous medium bounded by an infinite vertical porous plate with constant heat flux. – Canadian Journal of Physics 60(12): 1725-1729.

Ravikumar, V., Raju, M.C., Raju, G.S.S. (2012): MHD three dimensional Couette flow past a porous plate with heat transfer. – IOSR Jour. Maths. 1(3): 3-9.

Sacheti, N.C., Chandran, P., Singh, A.K. (1994): An exact solution for unsteady magnetohydrodynamic free convection flow with constant heat flux. – International Communications in Heat and Mass Transfer 21(1): 131-142.

Seth, G.S., Ansari, M.S., Nandkeolyar, R. (2011): Unsteady hydromagnetic couette flow within a porous channel. – Journal of Applied Science and Engineering 14(1): 7-14.

Soundalgekar, V.M., Gupta, S.K., Birajdar, N.S. (1979): Effects of mass transfer and free convection currents on MHD Stokes' problem for a vertical plate. – Nuclear Engineering and Design 53(3): 339-346.

Yabo, I.B., Jha, B.K., Lin, J.E. (2018): On a Couette flow of conducting fluid. – International Journal of Theoretical and Applied Mathematics 4(1): 8-21.

Downloads

Published

2023-12-17

How to Cite

NASRIN, S., MONDAL , R. N., & ALAM, M. M. (2023). COUETTE FLUID FLOW THROUGH PARALLEL RIGA PLATE WITH ELECTROMAGNETIC FIELD. Quantum Journal of Engineering, Science and Technology, 4(4), 74–94. Retrieved from https://qjoest.com/index.php/qjoest/article/view/125

Issue

Section

Articles