Sidewall Heating in Shallow Cavities Near the Density Maximum
Part of the
NATO Science Series
book series (NAII, volume 134)
In this chapter we examine convection in a shallow rectangular porous cavity with the two sidewalls of the cavity maintained at different temperatures. This problem has been examined in a series of papers by Daniels, Simpkins and Blythe [1, 2, 3] and they have shown that when the fluid density decreases linearly with temperature there is a single convection cell which causes fluid to rise along the hot wall and flow along the top half of the cavity towards the cold wall, where it then descends before returning towards the hot wall in the lower half of the cavity. If the fluid density is not a linear function of temperature this flow pattern can change. Of particular relevance to ground watering modelling is that water has a density maximum at about 4°C. Since in many parts of the world, groundwater will be near this temperature for at least part of the year, it is important to examine the effects of the density maximum on convection in porous media.
KeywordsPorous Medium Core Region Density Maximum Cold Wall Shallow Cavity
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