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Transpiration‐induced buoyancy effect around a horizontal cylinder embedded in a porous medium
Author(s) -
Hasan M.,
Mujumdar A. S.
Publication year - 1985
Publication title -
international journal of energy research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.808
H-Index - 95
eISSN - 1099-114X
pISSN - 0363-907X
DOI - 10.1002/er.4440090206
Subject(s) - prandtl number , buoyancy , laminar flow , nusselt number , mechanics , thermodynamics , boundary layer , sherwood number , dimensionless quantity , porous medium , materials science , chemistry , convection , physics , porosity , reynolds number , composite material , turbulence
Laminar free convection around a long porous limiting cylindrical surface arising from the buoyancy forces created by temperature as well as by transpiration‐induced concentration gradients is investigated. All the fluid properties except for the temperature and concentration‐dependent body forces are assumed to be constant in the analysis. The dimensionless non‐linear coupled boundary‐layer equations embody the following parameters: (1) Pr , the Prandtl number, (2) Sc , the Schmidt number and (3) R , the ratio of the concentration to the thermal buoyancy forces. Numerical results for the local Nusselt number, the local wall shear stress and the local Sherwood number are displayed graphically for the transpiration‐induced convective diffusion of hydrogen, water vapour and naphthalene into an air‐saturated porous medium. The dimensionless thermal, concentration and momentum boundary layer thicknesses, along with the cumulative tangential mass flow rate are given in tabular form. The analysis covers a wide range of blowing rates.

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