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Low rayleigh number conjugate convection in straight inclined fractures in rock

Publication ,  Journal Article
Shaughnessy, EJ; Van Gilder, JW
Published in: Numerical Heat Transfer; Part A: Applications
January 1, 1995

This investigation explores the natural convection in a water-filled straight inclined fracture in rock subject to a uniform background temperature increasing with depth. The numerical solutions cover aspect ratios from 2 to SO, with Rayleigh numbers of magnitude I, 10, and 100. The inclination angle ranges from 0° to 90° to the horizontal. The results demonstrate that a straight inclined fracture experiences a gradient-driven convection flow whose strength is strongly dependent on aspect ratio. The flow increases as the fracture angle changes from either purely horizontal or purely vertical, with a maximum at 4S°. It is observed that fractures with an aspect ratio as low as 10 exhibit average velocities at the midplane of nearly 90% of the values calculated from the analytical solution for the infinite aspect ratio limit. © 1995 Taylor and Francis Group, LLC.

Duke Scholars

Published In

Numerical Heat Transfer; Part A: Applications

DOI

EISSN

1521-0634

ISSN

1040-7782

Publication Date

January 1, 1995

Volume

28

Issue

4

Start / End Page

389 / 408

Related Subject Headings

  • Mechanical Engineering & Transports
  • 4901 Applied mathematics
  • 4012 Fluid mechanics and thermal engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0102 Applied Mathematics
 

Citation

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Shaughnessy, E. J., & Van Gilder, J. W. (1995). Low rayleigh number conjugate convection in straight inclined fractures in rock. Numerical Heat Transfer; Part A: Applications, 28(4), 389–408. https://doi.org/10.1080/10407789508913752
Shaughnessy, E. J., and J. W. Van Gilder. “Low rayleigh number conjugate convection in straight inclined fractures in rock.” Numerical Heat Transfer; Part A: Applications 28, no. 4 (January 1, 1995): 389–408. https://doi.org/10.1080/10407789508913752.
Shaughnessy EJ, Van Gilder JW. Low rayleigh number conjugate convection in straight inclined fractures in rock. Numerical Heat Transfer; Part A: Applications. 1995 Jan 1;28(4):389–408.
Shaughnessy, E. J., and J. W. Van Gilder. “Low rayleigh number conjugate convection in straight inclined fractures in rock.” Numerical Heat Transfer; Part A: Applications, vol. 28, no. 4, Jan. 1995, pp. 389–408. Scopus, doi:10.1080/10407789508913752.
Shaughnessy EJ, Van Gilder JW. Low rayleigh number conjugate convection in straight inclined fractures in rock. Numerical Heat Transfer; Part A: Applications. 1995 Jan 1;28(4):389–408.

Published In

Numerical Heat Transfer; Part A: Applications

DOI

EISSN

1521-0634

ISSN

1040-7782

Publication Date

January 1, 1995

Volume

28

Issue

4

Start / End Page

389 / 408

Related Subject Headings

  • Mechanical Engineering & Transports
  • 4901 Applied mathematics
  • 4012 Fluid mechanics and thermal engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0102 Applied Mathematics