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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

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

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v32.i4.10
pages 383-401

Modelling Convection Heat Transfer in a Rotating Fluid in a Thermally-Stratified High-Porosity Medium: Numerical Finite Difference Solutions

O. Anwar Bég
Fluid Mechanics, Nanosystems and Propulsion, Aeronautical and Mechanical Engineering, School of Computing, Science and Engineering, Newton Building, University of Salford, Manchester M54WT, United Kingdom
Harmindar S. Takhar
Engineering Department, Manchester Metropolitan University, Oxford Rd., Manchester, M15GD, UK
Tasveer A. Beg
Engineering Mechanics Associates, Manchester, M16, England, United Kingdom
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
Girishwar Nath
Professor S. K. Sinha, KNIT Campus, IV/17, KNIT, Sultanpur 228118, India
Rui Majeed
Biomedical Scientist, Kashmir Gardens, Darnall, Sheffield, UK

ABSTRACT

The convective heat transfer flow in a rotating fluid over a vertical plate in a non-Darcian thermally-stratified high-porosity medium is studied. The governing partial differential equations for momentum and energy are solved numerically using Blottner's finite-difference method. The effects of Rossby number and various thermal parameters on velocities, temperature, skin friction and Nusselt number are presented graphically and discussed at length. The flow and temperature fields are strongly influenced by the thermal stratification, porosity, inertia and Rossby number, whereas they demonstrate a weak dependence on the permeability parameter. Beyond a critical value of the Rossby number (Ro ≥ 0.5) flow reversal occurs in the X-component of the velocity. Other flow phenomena including primary and secondary flows are discussed. The problem finds applications in rotating industrial and geophysical systems.


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