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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

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

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v31.i1.20
24 pages

Oscillatory Flow and Heat Transfer in Two Immiscible Fluids

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
Jawali C. Umavathi
Department of Mathematics, Gulbarga University, Kalaburgi-585106, Karnataka, India
Abdul Mateen
Department of Mathematics Gulbarga University Gulbarga, 585106, Karnataka, India

ABSTRACT

The problem of unsteady laminar flow and heat transfer of two viscous immiscible fluids through a horizontal channel with permeable walls is investigated for the case of time-dependent oscillatory transpiration velocity. The partial differential equations governing the flow and heat transfer are solved analytically using two-term harmonic and non-harmonic functions in both regions of the channel. Effects of physical parameters such as viscosity ratio, conductivity ratio and Prandtl number on the velocity and temperature fields are depicted graphically while the influence of oscillation amplitude and frequency on the flow velocity and temperature is shown in a tabular form.


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