We present an analysis of fluid flow and heat transfer through a single horizontal channel with permeable walls which are at different temperatures. The problem is set in the context of hot dry rock geothermal energy extraction where water, introduced through an injection well, passes through a horizontal fracture by which transfer of heat is facilitated through advection of the fluid flowing toward the recovery well. We consider the walls of the fracture to have properties of a permeable medium and we study the effect of slip boundary conditions on velocity and temperature profiles for low Reynolds number (< 7) based on a similarity solution and perturbation expansion. We show that the velocity and heat transfer profiles are altered with the channel width, the permeability and a slip coefficient α, which is a dimensionless constant related to the inherent properties of the channel.
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November 2011
Research Papers
Fluid Flow and Heat Transfer Within a Single Horizontal Fracture in an Enhanced Geothermal System
Chaoshui Xu,
Chaoshui Xu
School of Civil, Environmental and Mining Engineering,
cxu@civeng.adelaide.edu.au
University of Adelaide
, Adelaide, SA 5005, Australia
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Peter Dowd
Peter Dowd
Faculty of Engineering, Computer and Mathematical Sciences,
University of Adelaide
, Adelaide, SA 5005, Australia
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Chaoshui Xu
School of Civil, Environmental and Mining Engineering,
University of Adelaide
, Adelaide, SA 5005, Australia
cxu@civeng.adelaide.edu.au
Peter Dowd
Faculty of Engineering, Computer and Mathematical Sciences,
University of Adelaide
, Adelaide, SA 5005, Australia
e-mail: J. Heat Transfer. Nov 2011, 133(11): 112603 (8 pages)
Published Online: September 19, 2011
Article history
Received:
November 14, 2010
Revised:
June 5, 2011
Online:
September 19, 2011
Published:
September 19, 2011
Citation
Mohais, R., Xu, C., and Dowd, P. (September 19, 2011). "Fluid Flow and Heat Transfer Within a Single Horizontal Fracture in an Enhanced Geothermal System." ASME. J. Heat Transfer. November 2011; 133(11): 112603. https://doi.org/10.1115/1.4004369
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