Prediction of natural convection flow using network model and numerical simulations inside enclosure with distributed solid blocks |
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Authors: | Sherifull-Din Jamalud-Din D Andrew S Rees B V K Reddy Arunn Narasimhan |
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Institution: | (1) Department of Mechanical Engineering, University of Bath, Claverton Down, Bath, BA2 7AY, UK;(2) Heat Transfer and Thermal Power Laboratory, Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai, 600036, India; |
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Abstract: | Steady state natural convection of a fluid with Pr ≈ 1 within a square enclosure containing uniformly distributed, conducting square solid blocks is investigated. The side
walls are subjected to differential heating, while the top and bottom ones are kept adiabatic. The natural convection flow
is predicted employing the nondimensional volumetric flow rate (Qmax* Q_{\max }^{*} ) by using a network model and also using numerical simulations. For identical solid and fluid thermal conductivities (i.e.
k
s
= k
f
), a parametric study of the effect of number of blocks (N
2), gap size (δ) and enclosure Rayleigh number (Ra) on Qmax* Q_{\max }^{*} is performed using the two approaches. Network model predictions are observed to agree well with that from the simulations
until Raδ3 ~ 12. Considering the enclosure with blocks as a porous medium, for a fixed enclosure Ra number, increasing the number of blocks for a fixed volumetric porosity leads to a decrease in enclosure permeability, which
in turn reduces the flow rate. When the number of blocks is fixed, and for a given Ra number, the flow rate increases as the porosity increases by widening the gap between the blocks. |
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Keywords: | |
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