Gm. Horsch et al., NUMERICAL-SIMULATION OF COOLING-INDUCED CONVECTIVE CURRENTS ON A LITTORAL SLOPE, International journal for numerical methods in fluids, 19(2), 1994, pp. 105-134
The transient development of cooling-induced flow in a triangular doma
in filled with water is studied by means of numerical simulation as a
model for flow developing in the littoral region of lakes or coasts. T
he domain is fitted in polar co-ordinates; solutions are obtained for
different values of the independent parameters of the model, which are
the Rayleigh number (Ra), the Prandtl number (Pr) and the slope of th
e domain (S). Within the ranges examined, as Ra is increased, differen
t regimes of the developing flow are observed; these are found qualita
tively to be insignificantly influenced by changes in S, whereas the f
low is found to be quantitatively insensitive to Pr for high enough va
lues of Pr. Several interesting features of the flow are depicted and
integral values useful in the analysis of flow in lakes are extracted.