Dispersion relationship for solid state instability growth and sensitivity to equation of state

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We have derived an approximate analytical dispersion relation for solid state instability growth following the method of Mikaelian. I He starts with the general eigenvalue equation for the velocity of a perturbation on a finite-thickness fluid layer with surface tension and viscosity, and derives an exact solution numerically from det(M)=0, where M is an 8x8 matrix. He then derives an approximate solution analytically by substituting the inviscid eigenfunctions into the exact eigenvalue equation. The integrations yield a dispersion relation which is a polynomial in the growth rate.

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11 p.

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Colvin, J.D.; Wiley, L.G.; Chandler, E.A.; Remington, B.A. & Kalantar, D.H. June 1, 1997.

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Description

We have derived an approximate analytical dispersion relation for solid state instability growth following the method of Mikaelian. I He starts with the general eigenvalue equation for the velocity of a perturbation on a finite-thickness fluid layer with surface tension and viscosity, and derives an exact solution numerically from det(M)=0, where M is an 8x8 matrix. He then derives an approximate solution analytically by substituting the inviscid eigenfunctions into the exact eigenvalue equation. The integrations yield a dispersion relation which is a polynomial in the growth rate.

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11 p.

Notes

OSTI as DE98051142

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  • 6. international workshop on physics of compressible turbulent mixing, Marseille (France), 18-21 Jun 1997

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  • Other: DE98051142
  • Report No.: UCRL-JC--127496
  • Report No.: CONF-970657--
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 622724
  • Archival Resource Key: ark:/67531/metadc690929

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  • June 1, 1997

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  • Aug. 14, 2015, 8:43 a.m.

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  • May 8, 2017, 12:44 p.m.

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Colvin, J.D.; Wiley, L.G.; Chandler, E.A.; Remington, B.A. & Kalantar, D.H. Dispersion relationship for solid state instability growth and sensitivity to equation of state, article, June 1, 1997; California. (digital.library.unt.edu/ark:/67531/metadc690929/: accessed November 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.