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Research Papers: Porous Media

Fluid Flow and Heat Transfer Within a Single Horizontal Fracture in an Enhanced Geothermal System

[+] Author and Article Information
Rosemarie Mohais1

School of Civil, Environmental and Mining Engineering,  University of Adelaide, Adelaide, SA 5005, Australiarmohais@civeng.adelaide.edu.auFaculty of Engineering, Computer and Mathematical Sciences,  University of Adelaide, Adelaide, SA 5005, Australia e-mail: peter.dowd@adelaide.edu.aurmohais@civeng.adelaide.edu.au

Chaoshui Xu, Peter Dowd

School of Civil, Environmental and Mining Engineering,  University of Adelaide, Adelaide, SA 5005, Australiarmohais@civeng.adelaide.edu.auFaculty of Engineering, Computer and Mathematical Sciences,  University of Adelaide, Adelaide, SA 5005, Australia e-mail: peter.dowd@adelaide.edu.aurmohais@civeng.adelaide.edu.au

1

Corresponding author.

J. Heat Transfer 133(11), 112603 (Sep 19, 2011) (8 pages) doi:10.1115/1.4004369 History: Received November 14, 2010; Revised June 05, 2011; Published September 19, 2011; Online September 19, 2011

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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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Parallel plate flow model for fractures

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Figure 2

Velocity profile for coupled parallel flows within a channel and bounding porous medium according to the slip flow hypothesis of Beavers and Joseph (after Beavers and Joseph [15] and Neale and Nadar [19]

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Figure 3

A horizontal fracture in a HDR system

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Figure 4

Variation of axial velocity profile (u) of fluid flow in a channel with permeable walls with changing α

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Figure 5

Variation of transverse velocity profile (v) of fluid flow in a channel with permeable walls with changing α

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Figure 6

Variation of axial velocity profile (u) of fluid flow in a narrow channel with permeable walls with changing α

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Figure 7

Axial velocity profiles (u) of fluid flow in a channel with walls of varying permeability

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Figure 8

Axial velocity profiles (u) of fluid flow in a channel with permeable walls for varying channel half-widths

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Figure 9

Variation of temperature profile (θ) of fluid for the lower half of a channel with permeable walls of varying permeability, Pe = 1.25

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Figure 10

Variation of temperature profile (θ) of fluid for the lower half of a channel with permeable walls of varying permeability, Pe = 3

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Figure 11

Variation of temperature gradient (∂θ∂y*) of fluid in the lower half of a channel with permeable walls of varying permeability

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Figure 12

Temperature distribution with Peclet number of fluid in the lower half of a channel with permeable walls

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Figure 13

Variation of temperature gradient with Peclet number of fluid in the lower half of a channel with permeable walls

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Figure 14

Temperature distribution with Peclet number of fluid in the lower half of a channel with walls of varying permeability

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