ScholarSpace will be brought offline for upgrades on Wednesday December 9th at 11AM HST. Service will be disrupted for approximately 2 hours. Please direct any questions to

Item Description

Show full item record

Title: Buoyancy Induced Boundary Layer Flows in Geothermal Reservoirs 
Author: Cheng, Ping
Date: 1976-12-01
Publisher: Department of Petroleum Engineering, Stanford University
Citation: Cheng P. 1976. Buoyancy Induced Boundary Layer Flows in Geothermal Reservoirs. Stanford (CA): Department of Petroleum Engineering, Stanford University.
Abstract: Most of the theoretical study on heat and mass transfer in geothermal reservoirs has been based on numerical method. Recently at the 1975 NSF Workshop on Geothermal Reservoir Engineering, Cheng presented a number of analytical solutions based on boundary layer approximations which are valid for porous media at high Rayleigh numbers. according to various estimates the Rayleigh number for the Wairakei geothermal field in New Zealand is in the range of 1000-5000, which is typical for a viable geothermal field consisting of a highly permeable formation and a heat source at sufficiently high temperature. The basic assumption of boundary layer theory is that heat convective heat transfer takes place in a thin porous layer adjacent to heated or cooled surfaces. Indeed, numerical solutions suggest that temperature and velocity boundary layers do exist in porous media at high Rayleigh numbers. It is worth mentioning that the large velocity gradient existing near the heated or cooled surfaces is not due to viscosity but is induced by the buoyancy effects. The present paper is a summary of the work that we have done on the analytical solutions of heat and mass transfer in a porous medium based on the boundary layer approximations since the 1975 Workshop. As in the classical convective heat transfer theory, boundary layer approximations in porous layer flows can result in analytical solutions. Mathematically, the approximations are the first-order terms of an asymptotic expansion which is valid for high Rayleigh numbers. Comparison with experimental data and numerical solutions show that the approximations are also accurate at moderate values of Rayleigh numbers. For problems with low Rayleigh numbers where boundary layer is thick, higher-order approximations must be used. 9 refs., 5 figs.
Description: Proceedings Second Workshop Geothermal Reservoir Engineering, Stanford University, Stanford, Calif., December 1-3, 1976
Sponsorship: Conducted under Grant No. NSF-AER-72-03490 supported by the RANN program of the National Science Foundation and Contract No. E043-326-PA-50 from the Geothermal Energy Division, Energy Research and Development Administration.
Pages/Duration: 12 pages
Keywords: modeling, hydrothermal, convection, Hawaii
LC Subject Headings: Modeling
basaltic systems
hydrothermal circulation

Item File(s)

Files Size Format View
Buoancy Induced flow.pdf 574.7Kb PDF View/Open

This item appears in the following Collection(s)


Advanced Search


My Account