On predicting the transition to turbulence in stably stratified fluids

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The development of turbulence in stratified fluids has historically been studied using the flux, Ri{sub f}, and the gradient Richardson no., Ri, whereas the simpler shear flow transition in homogeneous fluids has been studied using the Reynolds no. A complete dimensional analysis dimensional analysis of the relevant linearized conservation equations in the Boussinesq approximation predicts that the physical processes in stably stratified boundary layers should depend on as many as five dimensionless parameters, namely, the Rayleigh no, Ra, the Reynolds no., Re, the Taylor no., Ta, the Prandtl no., Pr, and the Radiation no., Rd. The Radiation no. is very ... continued below

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3 p.

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ReVelle, D.O. August 1, 1997.

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Description

The development of turbulence in stratified fluids has historically been studied using the flux, Ri{sub f}, and the gradient Richardson no., Ri, whereas the simpler shear flow transition in homogeneous fluids has been studied using the Reynolds no. A complete dimensional analysis dimensional analysis of the relevant linearized conservation equations in the Boussinesq approximation predicts that the physical processes in stably stratified boundary layers should depend on as many as five dimensionless parameters, namely, the Rayleigh no, Ra, the Reynolds no., Re, the Taylor no., Ta, the Prandtl no., Pr, and the Radiation no., Rd. The Radiation no. is very similar to Pr, but includes thermal radiative transfer instead of molecular heat conduction.

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3 p.

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OSTI as DE97007197

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  • 12. symposium on boundary layers and turbulence, Vancouver (Canada), 28 Jul - 1 Aug 1997

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  • Other: DE97007197
  • Report No.: LA-UR--97-1315
  • Report No.: CONF-970760--5
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 519140
  • Archival Resource Key: ark:/67531/metadc692943

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  • August 1, 1997

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  • Aug. 14, 2015, 8:43 a.m.

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  • Feb. 25, 2016, 10:09 p.m.

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ReVelle, D.O. On predicting the transition to turbulence in stably stratified fluids, article, August 1, 1997; New Mexico. (digital.library.unt.edu/ark:/67531/metadc692943/: accessed September 19, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.