RT Journal Article
ID 3bcbb7be7e6c9c8d
A1 Chen, Yuan-Yuan
A1 Li, Ben-Wen
A1 Zhang, Jing-Kui
T1 VISUALIZATION ANALYSIS OF NATURAL CONVECTION IN A POROUS ENCLOSURE USING THE CHEBYSHEV SPECTRAL COLLOCATION METHOD WITH TEMPERATURE-DEPENDENT THERMAL DIFFUSIVITY
JF Journal of Porous Media
JO JPM
YR 2018
FD 2018-09-06
VO 21
IS 9
SP 827
OP 843
K1 temperature-dependent thermal diffusivity
K1 aspect ratio
K1 natural convection
K1 Chebyshev spectral collocation method
K1 visualization analysis
AB We studied the effects of temperature-dependent thermal diffusivity and aspect ratio on natural convection in a rectangular porous cavity. Thermal diffusivity is assumed to vary as a linear function of temperature.We used the Chebyshev spectral collocation method to solve coupled nonlinear partial differential equations. The domain of the problem is discretized by Chebyshevâ€“Gaussâ€“Lobatto collocation points, and time derivatives are discretized by a semi-implicit scheme with finite-difference approximation. We executed the treatment of variable thermal diffusivity using array multiplication in the computation and used the matrix diagonalization method to solve discretized equations. Results from the current study are compared with those available in the literature. Numerical solutions are visualized using the isotherm, streamline, and heatline for different values of Rayleigh number, thermal diffusivity coefficient, and aspect ratio. For the first time, the visualization tool of heatline is applied to a porous enclosure with temperature-dependent thermal diffusivity. On the basis of these results, the heat-transfer process across the enclosure was analyzed. We found that variable thermal diffusivity has a considerable influence on flow pattern and corresponding heat transfer in the enclosure.
PB Begell House
LK http://dl.begellhouse.com/journals/49dcde6d4c0809db,2a81cc43428773b3,3bcbb7be7e6c9c8d.html