Author: Hsiao-Lan Kuo

Publisher:

Published: 1957

Total Pages: 60

ISBN-13:

Part I is concerned with the stability of the thermally driven motions in a rotating fluid. In this part the transitions from the lower forced symmetric regime to the wave regime, within the wave regime itself and from the wave regime into the upper symmetric regime are discussed. It is found that the main features of these various transitions obtained by Fultz in some new experiments can be explained by the theories developed in this note and in the previous studies. In part II some aspects of fluid motions produced by horizontal differential heating are discussed by applying energy integrals. It is shown that if the various quantities are decomposed into an average and an eddy departure, then the eddy potential and eddy kinetic energies must increase or decrease at the same time. In the case of motion produced by horizontal differential heating, there will be both an average horizontal heat transport, from the heat source to the cold source, and an upward transport, which results in a stable stratification. The mean vertical temperature contrast so produced is proportional to the mean horizontal temperature contrast and is of the same order of magnitude. In part III the mean temperature distribution resulting from the thermal convection produced by uniform heating from below is determined by applying the thermal energy integrals. It is shown that each time a new mode of convection is introduced, the Nusselt number will be increased by 1 and when there are N modes present, it will be N + 1. In case of large N, large convective heat transfer extends very near to the boundaries.