Thermally enhanced gravity driven flows

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Gravity currents play a major role in both natural and human-made settings. The driving buoyancy forces for these flows are due to density differences which may arise as a result of compositional differences (e.g. salinity), the presence of suspended material in the flow as in the case of turbidity currents, temperature differences, or a combination of these mechanisms. This article reports on a study of surface gravity currents moving horizontally over a slightly denser ambient fluid when these surface layers are subjected to an incoming heat flux which acts to enhance (or erode) the existing stratification. A general equation of state is adopted to connect the density of the upper layer to its changing temperature. A two-layer hydraulic theory is developed and conditions for its validity carefully specified. Both analytical and numerical analyses are carried out in order to examine the salient features of these flows.

论文关键词:Shallow-water theory,Hyperbolic conservation laws,Variable density,Two-layer model

论文评审过程:Received 25 February 2003, Revised 1 December 2003, Available online 25 February 2004.

论文官网地址:https://doi.org/10.1016/j.cam.2003.12.037