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International Journal of Fluid Mechanics Research
ESCI SJR: 0.22 SNIP: 0.446 CiteScore™: 0.5

ISSN Print: 2152-5102
ISSN Online: 2152-5110

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v26.i5-6.80
pages 643-659

Oscillatory Natural Convection Flow of a Two-Phase Suspension over a Surface in the Presence of Magnetic Field and Heat Generation Effects

Ali J. Chamkha
Department of Mechanical Engineering, Prince Sultan Endowment for Energy and Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Kingdom of Saudi Arabia; RAK Research and Innovation Center, American University of Ras Al Khaimah, United Arab Emirates, 10021
J. A. Adeeb
Department of Mechanical and Industrial Engineering, Kuwait University, Safat, Kuwait


A continuous two-phase flow and heat transfer model is derived taking into account natural convection currents and is applied to the problem of laminar, hydromagnetic, oscillatory flow of a Newtonian, electrically-conducting, and heat generating or absorbing fluid with solid, monodispersed spherical suspended particles over a vertical infinite surface. The surface is assumed permeable so as to allow for possible wall fluid- and particle-phase suction or blowing and is maintained at a constant temperature. A uniform magnetic field is applied in the direction normal to that of the flow. The free stream velocity oscillates about a constant mean value. The solid particles and the vertical surface are assumed to be electrically non-conducting and the particle-phase density distribution is assumed to be uniform. In addition, the particle-phase is assumed to have an analog pressure and is endowed by a viscosity. Furthermore, the fluid phase is assumed to have temperature-dependent heat generation or absorption effects. In the absence of viscous dissipations of both phases, Joule heating, drag-type work, and the Hall effect of magnetohydrodynamics, the derived governing equations are solved analytically for the velocity and temperature profiles of both phases using the regular perturbation technique. The analytical results are compared with previously published work and are found to be in excellent agreement. The effects of the Grashof number, Hartmann number, particle loading, Prandtl number, heat generation or absorption coefficient, viscosity ratio, and the particulate wall slip on the velocity and temperature fields of both phases are illustrated graphically to show interesting features of the solutions.

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