Pa. Blythe et al., THERMALLY DRIVEN FLOWS AT LOW PRANDTL NUMBERS - AN EXTENSION OF THE PRANDTL-BATCHELOR THEOREM, International journal of engineering science, 33(12), 1995, pp. 1699-1711
New results for the structure of closed eddies in thermally driven how
s at low Prandtl numbers and high Grashof numbers are presented. The a
nalysis provides an extension of the classical Prandtl-Batchelor theor
em. Numerical calculations given here for laterally heated rectangular
cavities are in excellent agreement with the extended theorem.