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- Title
NUMERICAL STUDY OF UNSTEADY MHD POISEUILLE FLOW WITH TEMPERATURE-DEPENDENT VISCOSITY THROUGH A POROUS CHANNEL UNDER AN OSCILLATING PRESSURE GRADIENT.
- Authors
Gunakala, Sreedhara Rao; Job, Victor M.; Nagarani, P.; Sreenivasulu, P.; Balkissoon, Judith N.
- Abstract
In the present paper, we examine the unsteady heat transfer and incompressible magnetohydrodynamic Poiseuille flow of a viscous liquid through a porous channel. The fluid, which has temperature-dependent viscosity, is bounded by two horizontal plates and influenced by an oscillating pressure gradient. The governing Brinkman equation and energy equation are solved using Galerkin's Finite Element Method. The influence of Hartmann number, amplitude of the pressure gradient, oscillation frequency, viscosity parameter, suction/injection parameter, Darcy number and time are discussed. The results revealed that the aforementioned parameters have a marked influence on flow velocity and fluid temperature. An increase in the volumetric flow rate can be achieved by reducing the suction/injection parameter and Hartmann number, and by increasing the Darcy number, viscosity parameter and Prandtl number. It was also determined that enhancements of the Nusselt number ocurrs with decreasing suction/injection parameter and Prandtl number. The obtained results are consistent with the existing literature.
- Subjects
POISEUILLE flow; NUSSELT number; FLOW velocity; VISCOSITY; VISCOUS flow; MAGNETOHYDRODYNAMICS; UNSTEADY flow
- Publication
Palestine Journal of Mathematics, 2022, Vol 11, p41
- ISSN
2219-5688
- Publication type
Article