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FIXED-GRID SIMULATIONS OF STEADY, TWO-DIMENSIONAL, ICE-WATER SYSTEMS WITH LAMINAR NATURAL CONVECTION IN THE LIQUID

DOI: 10.1615/ICHMT.2012.CHT-12.990
pages 1651-1675

Sylvain Bories
Dept. of Mechanical Eng., McGill Univ., 817 Sherbrooke St. W., Montreal, QC H3A 2K6, Canada

Nabil Elkouh
Erigo Technologies LLC, Enfield, NH 03748-0899, U.S.A

Bantwal Rabi Baliga
Heat Transfer Laboratory, Department of Mechanical Engineering, McGill University, 817 Sherbrooke St. W., Montreal, QC H3A 2K6, Canada

Аннотация

A numerical investigation of steady, two-dimensional, ice-water systems with laminar buoyancy-driven natural convection in the water and conduction in the ice is presented. The calculation domains were rectangular enclosures, cooled and heated on opposite vertical side walls, and insulated (adiabatic) on the top and bottom walls. The long-term goal is to contribute to the development of mathematical models and numerical solution methods suitable for use as cost-effective computational tools in the design of enhanced ice-water seasonal cold-storage (IWSCS) systems. A fixed-grid, co-located, finite volume method (FVM) was adapted for use in this work. Predictions were obtained using a variable-property model (VPM) and also a constant-property model (CPM). In simulations with the CPM, all properties of liquid water, except its density, were evaluated at several different reference temperatures and assumed constant, and the thermal conductivity of ice was pegged to its value at the melting temperature. The reference temperature that leads to the lowest differences between the results yielded by the VPM and CPM was determined, and it is the main contribution of this work. The reasons for seeking such a reference temperature are two-fold: 1) the CPM facilitates cost-effective simulations for designing IWSCS systems optimized for specific applications; and 2) porous metal foams are often embedded in IWSCS systems to improve their performance, and practical volume-averaged approaches to the modeling of fluid flow and heat transfer in such composite systems are usually based on a CPM. The computed streamlines, water-ice interface positions, and values of the average Nusselt number on the hot wall are also presented for the cases considered.

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