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Title: The effects of heat and mass transfer processes on shallow liquid flows
Author: Brazier, Richard Harry
Awarding Body: University of London
Current Institution: Imperial College London
Date of Award: 1972
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Fluid flows effected by surface tension variations are considered. A discussion of the various agencies causing these variations is given together with laboratory, industrial and natural illustrations of such flows. The equations of motion, mass transfer and state for the surface phase are described and discussed. The various theoretical models produced for Bernard's cells are described and compared. Yih's model for two dimensional variable surface tension driven flow when the variation is caused by an insoluble contaminant is discussed and an analysis of a singular point in a phase plane is used to examine' the possible instabilities in such a flow. By extending Yih's analysis, a model is produced for the flow in a shallow fuel layer near, but not close to, a burning wick. The solutions for the variations of surface tension and fuel depth with distance from the wick are obtained numerically. A separate solution, developed from slow viscous corner flow theory, is provided for the flow close to the wick. Neglecting the variation of depth associated with these flows, a model is produced for the effect of a heat source placed at the corner of a rectangular cell. The solutions are found using a Green's function which is obtained as a series of eigenfunctions and eigenvalues. A model produced for flow owing to a moving heat source involves the solution in a fast moving boundary layer close to the surface by formulating Yih's basic equations in a moving frame and then obtaining' numerical solutions for surface tension and liquid depth, and the solution in the layer below using a Von Karman-Pohlhausen technique. Using this Von Karman-Pohlhausen technique again, an analysis for the flow in an aqueous solution on contact with a hot gas is presented.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available