Mixed Convection in Water Near the Density Extremum Along a Vertical Plate with Sinusoidal Surface Temperature Variation Embedded in a Porous Medium |
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Authors: | Asterios Pantokratoras |
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Institution: | (1) School of Engineering, Democritus University of Thrace, 67100 Xanthi, Greece |
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Abstract: | A steady laminar boundary layer flowing along a vertical plate immersed in a Darcy–Brinkman porous medium saturated with water
at 4°C is studied. The plate temperature varies sinusoidally along the plate between 0 and 8°C where the density of water
varies parabolically and is almost symmetrical at about 4°C. Except for the existence of the buoyancy force, it is assumed
that either the plate moves upwards or the ambient water moves upwards (moving stream). The results are obtained with the
direct numerical solution of the boundary layer equations taking into account the temperature dependence of water thermophysical
properties (ρ, μ and c
p). Results are presented for the wall temperature gradient and the wall shear stress along the plate for free convection and
mixed convection. Temperature and velocity profiles are also presented. |
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Keywords: | Sinusoidal temperature Water Porous medium |
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