Implications of stability analysis for heat transfer at Yucca Mountain

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An analytical solution has been obtained to the stability problem for an infinite horizontal layer of gas with Its humidity constrained to 100%. Latent heat transfer makes convective heat transfer much more Important for this moist gas than for a dry gas. The critical Rayleigh number for the onset of convective flow in the moist gas, with a lower no-flow boundary at 97{degrees}C and an upper no-flow boundary at 27{degrees}C, is 0.18, much less than the value of 4m{sup 2} for a dry gas. Although the heat source at Yucca Mountain will be finite in extent, the solution for an ... continued below

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6 p.

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Ross, B.; Zhang, Yiqiang & Ning Lu March 1, 1993.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM (United States)
    Place of Publication: Albuquerque, New Mexico

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An analytical solution has been obtained to the stability problem for an infinite horizontal layer of gas with Its humidity constrained to 100%. Latent heat transfer makes convective heat transfer much more Important for this moist gas than for a dry gas. The critical Rayleigh number for the onset of convective flow in the moist gas, with a lower no-flow boundary at 97{degrees}C and an upper no-flow boundary at 27{degrees}C, is 0.18, much less than the value of 4m{sup 2} for a dry gas. Although the heat source at Yucca Mountain will be finite in extent, the solution for an infinite horizontal layer still gives a useful criterion for the qualitative importance of convective heat transfer. The critical Rayleigh number of 0.18 corresponds to a permeability of 4 {times} 10{sup {minus}12} m{sup 2} if other parameters ate given values measured at Yucca Mountain. This value falls roughly in the middle of the range of measured permeabilities. The analysis also gives a time constant for the onset of convection, which at twice the critical Rayleigh number is 1000 yr. Thus convection will probably make an important contribution, to host transfer at Yucca Mountain if the rock permeability falls in the upper portion of the range of measurements to date, but only at times after a few hundred or thousand years.

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6 p.

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INIS; OSTI as DE93008355

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  • 10. international high-level radioactive waste management conference, Las Vegas, NV (United States), 25-29 Apr 1993

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  • Other: DE93008355
  • Report No.: SAND--93-7005C
  • Report No.: CONF-930408--39
  • Grant Number: AC04-76DP00789
  • Office of Scientific & Technical Information Report Number: 138771
  • Archival Resource Key: ark:/67531/metadc625220

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  • March 1, 1993

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  • June 16, 2015, 7:43 a.m.

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  • April 14, 2016, 4:06 p.m.

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Ross, B.; Zhang, Yiqiang & Ning Lu. Implications of stability analysis for heat transfer at Yucca Mountain, article, March 1, 1993; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc625220/: accessed October 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.