Natural convection about a vertical plate embedded in a bidisperse porous medium |
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| Authors: | D.A. Nield A.V. Kuznetsov |
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| Affiliation: | 1. Department of Engineering Science, University of Auckland, Private Bag 92019, Auckland 1142, New Zealand;2. Department of Mechanical and Aerospace Engineering, North Carolina State University, Campus Box 7910, Raleigh, NC 27695-7910, USA;1. Department of Industrial Engineering, Alma Mater Studiorum Università di Bologna, Bologna, Italy;2. Department of Physics, University of Abdelmalek Essaadi, Tanger, Morocco;1. Department of Mechanical and Aerospace Engineering, North Carolina State University, Campus Box 7910, Raleigh, NC 27695-7910, USA;2. Department of Engineering Science, University of Auckland, Private Bag 92019, Auckland 1142, New Zealand;1. Institute of Applied Mathematics (LSIII), TU Dortmund, Vogelpothsweg 87, D-44227 Dortmund, Germany;2. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Kamra Road, Attock, Pakistan;3. University of Dhaka, Dhaka, Bangladesh;4. Department of Mechanical Engineering, Cleveland State University, Cleveland, OH 44115-2214, USA |
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| Abstract: | The classical Cheng–Minkowycz study of convection past a vertical plate embedded in a porous medium has been extended to the case of a bidisperse porous medium (BDPM). The boundary layer analysis leads to expressions for the velocity and temperature fields in terms of a geometrical parameter, an inter-phase momentum transfer parameter, a thermal diffusivity ratio, a permeability ratio, a thermal conductivity ratio, and an inter-phase heat transfer parameter. For the leading edge region, and for an inner layer, a similarity solution is obtained numerically. This involves the first four parameters, each of which is a characteristic of the BDPM. |
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