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Title: Similarity solutions for convection of groundwater adjacent to horizontal impermeable surfaces with axisymmetric temperature distribution : Technical report No. 14 
Author: Cheng, P.; Chau, W.C.
Date: 1976-04-30
Publisher: Department of Mechanical Engineering, University of Hawaii at Manoa
Citation: Cheng P, Chau WC. 1976. Similarity Solutions for Convection of Groundwater Adjacent to Horizontal Impermeable Surfaces with Axisymmetric Temperature Distribution: Technical Report No. 14. Honolulu (HI): Department of Mechanical Engineering, University of Hawaii at Manoa.
Abstract: The axisymmetric buoyancy-induced groundwater flow adjacent to horizontal impermeable surfaces with wall temperature being a power function of radius is discussed in this paper. With the boundary layer simplifications, the governing non-linear partial differential equations can be transformed into a coupled pair of non-linear ordinary differential equations with two-point boundary conditions that can be integrated numerically by established techniques. Simple algebraic expressions for boundary layer thickness and heat transfer rate are obtained. Applications to free convective flow in a liquid-dominated geothermal system at high Rayleigh number are discussed.
Description: Report Number: DOE/ET/28302-T10; OSTI ID: 6340447
Sponsorship: DOE Contract Number FG03-81ER10250
Pages/Duration: 24 pages
Keywords: modeling, hydrothermal, reservoir engineering, Hawaii, worldwide

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