V. M.K. Sastri

finite element method

flow visualization

Mathematical models

Plates (structural components)

Thermal conductivity of solids

Wall flow

DIFFERENTIALLY HEATED SQUARE CAVITY

HORIZONTAL PARTITION PLATE

HOT WALL

Natural convection

Nusselt number

Heat convection

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IIT Madras

Natural convection in a differentially heated square cavity with a horizontal partition plate on the hot wall

Computer Methods in Applied Mechanics and Engineering

Numerical methods are used to solve the finite volume formulation of the two-dimensional mass, momentum and energy equations for steady-state natural convection inside a square enclosure. The enclosure consists of adiabatic horizontal walls and differentially heated vertical walls, but it also contains an adiabatic centrally-placed solid block. The aim of the study is to delineate the effect of such a block on the flow and temperature fields. The parametric study covers the range 103 ≤ Ra ≤ 106 and is done at three Pr namely, 0.071, 0.71 and 7.1. In addition the effect of increasing the size (characterized by the solidity Φ) of the adiabatic block is ascertained. It is found that the wall heat transfer increases, with increase in the Φ, until it reaches a critical value Φ = ΦOPT, where the wall heat transfer attains its maximum. Further increases in the block size beyond ΦOPT, reduces the wall heat transfer, for as the block size becomes larger than the conduction dominant core size it reduces the thermal mass of the convecting fluid. A steady-state heat transfer enhancement of 10% is observed for certain Ra and Pr values. Useful correlations predicting this optimum block size and the corresponding maximum heat transfer as a function of Ra and Pr are proposed; these predict within ±3%, the numerical results. © 2006 Elsevier Ltd. All rights reserved.

International Journal of Heat and Mass Transfer

Natural convection heat transfer enhancement using adiabatic block: Optimal block size and Prandtl number effect

The effect of a partial horizontal partition plate of finite thickness, attached to the heated vertical wall of a differentially heated square cavity, has been studied numerically using the finite element method. The partition thickness is varied from 0.5% of the height of the cavity to 10%. The partition is considered to be located at the middle of the hot wall of a width equivalent to 20% of the cavity width. It is observed that as the partition thickness is reduced, heat transfer across the cavity decreases at first, until a critical thickness of the partition plate is reached. Beyond this value, heat transfer increases as the thickness of the partition is further reduced. Streamline maps are found to be notably sensitive to the partition thickness. The effect of conductivity of the partition material on heat transfer is also studied. Except for material with poor thermal properties, conductivity of the partition is observed to have a negligible effect on heat transfer. © 1994 Taylor and Francis Group, LLC.

Numerical Heat Transfer; Part A: Applications

Effect of thick horizontal partial partition attached to one of the active walls of a differentially heated square cavity

Natural convection heat transfer in a partially—or completely—partitioned vertical rectangular enclosure

Journal of Heat Transfer

Investigation of Natural Convection in Partially Divided Rectangular Enclosures Both With and Without an Opening in the Partition Plate: Measurement Results

Proceeding of International Heat Transfer Conference 9

FINITE ELEMENT ANALYSIS OF TWO-DIMENSIONAL MELTING IN RECTANGULAR ENCLOSURES IN THE PRESENCE OF CONVECTION

Natural convection heat transfer in enclosures with multiple vertical partitions

International Journal for Numerical Methods in Fluids

Laminar natural convection in a partially divided rectangular cavity at high Rayleigh number

Journal	Computer Methods in Applied Mechanics and Engineering
ISSN	00457825
Open Access	No