Finite amplitude thermal convection in porous media with uniform heat source

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An unbounded horizontal fluid layer in a porous medium with an internal heat source and uniformly heated from below was studied. The layer is in the gravitational field. Linear theory predicts that the disturbances of infinitesimal amplitude will start to grow when the Rayleigh number exceeds its critical value. These disturbances do not grow without limit; but by advecting heat and momentum, the distrurbances alter their forms to achieve a finite amplitude. Just like infinitesimal amplitude disturbances the degenercies of possible solutions persist for finite amplitude solutions. This study evaluates the stability of these various forms of solutions. The small ... continued below

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Pages: 9

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Hwang, I. T. August 11, 1976.

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Description

An unbounded horizontal fluid layer in a porous medium with an internal heat source and uniformly heated from below was studied. The layer is in the gravitational field. Linear theory predicts that the disturbances of infinitesimal amplitude will start to grow when the Rayleigh number exceeds its critical value. These disturbances do not grow without limit; but by advecting heat and momentum, the distrurbances alter their forms to achieve a finite amplitude. Just like infinitesimal amplitude disturbances the degenercies of possible solutions persist for finite amplitude solutions. This study evaluates the stability of these various forms of solutions. The small parameter method of Poincare is used to treat the problem in successive order.

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Pages: 9

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  • National heat transfer conference, St. Louis, MO, USA, 8 Aug 1976

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  • Report No.: CONF-760816-10
  • Grant Number: W-31-109-ENG-38
  • Office of Scientific & Technical Information Report Number: 7330122
  • Archival Resource Key: ark:/67531/metadc1443636

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Office of Scientific & Technical Information Technical Reports

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  • August 11, 1976

Added to The UNT Digital Library

  • Feb. 10, 2019, 8:45 p.m.

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  • Feb. 12, 2019, 5:31 p.m.

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Hwang, I. T. Finite amplitude thermal convection in porous media with uniform heat source, article, August 11, 1976; Illinois. (digital.library.unt.edu/ark:/67531/metadc1443636/: accessed February 23, 2019), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.