Transient natural convection heat transfer in a large-diameter cylinder (original) (raw)
1988, Experimental Thermal and Fluid Science
The transient two-dimensional laminar natural convection of water, enclosed in rectangular cavities with wall temperature maintained at 0°C is studied analytically. This investigation is carried out in order to study the inversion of flow patterns caused by the maximum density of water at 4°C. Numerical solutions are obtained for cases involving different aspect ratios and initial water temperatures varying between 4 and 21°C. Solutions of the governing coupled system ofpartial differential equations are obtained using an alternating direction implicit finite difference method. The results are presented graphically in the form of stream function and isotherm contour plots. The heat transfer through each wall is evaluated in order to study the effect of the density inversion on the cooling process. It is established numerically that one of the consequences of the nonlinearity of the water is to change the maximum heat transfer from the top wall of the cavity to the bottom one.
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