Similarity solutions for convection of groundwater adjacent to horizontal impermeable surfaces with axisymmetric temperature distribution : technical report no. 14

Date
1976-04-30
Authors
Cheng, Ping
Chau, W.C.
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Department of Mechanical Engineering, University of Hawaii at Manoa
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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
Keywords
modeling, hydrothermal, reservoir engineering, Hawaii, worldwide
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.
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24 pages
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