Three-Dimensional Infinite Prandtl Number Convection in a Spherical Shell with Temperature-Dependent Viscosity.

• Iwase Yasuyuki

  Department of Earth and Planetary Systems Science, Faculty of Science, University of Hiroshima

書誌事項

タイトル別名

• Three-Dimensional Infinite Prandtl Numb

抄録

We study the numerical simulations of 3-D inifinite Prandtl number convection with temperature-dependent viscosity in a spherical shell. Control volume method coupled with SIMPLE algorithm is used to solve the basic equations. Both constant and temperature-dependent viscosity cases are studied under the condition that the ratio of the inner to the outer shell radius is 0.55, which is appropriate for mantle convection of the Earth, with only basal heating. For the case of constant viscosity, when the Rayleigh number (Ra) is less than 10⁵, steady state solutions (both cubic and tetrahedral types) are obtained. However, for Ra = 10⁶, we find only a time-dependent solution. For the temperature-dependent viscosity case, we assume that the viscosity changes with temperature exponentially and we can successfully obtain solutions with the viscosity variation up to 10000. For the viscosity contrast of 1000 times and the surface Rayleigh number of Ra₀ = 5 × 10³, we get the flow patterns which consist of the sheet-like downwelling and small upwellings.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｇｅｏｍａｇｎｅｔｉｓｍ　ａｎｄ　ｇｅｏｅｌｅｃｔｒｉｃｉｔｙ

  Ｊｏｕｒｎａｌ　ｏｆ　ｇｅｏｍａｇｎｅｔｉｓｍ　ａｎｄ　ｇｅｏｅｌｅｃｔｒｉｃｉｔｙ 48 (12), 1499-1514, 1996

  地球電磁気・地球惑星圏学会

キーワード

• General Earth and Planetary Sciences
• General Environmental Science

詳細情報

• CRID: 1390001206510430208
• NII論文ID: 130003559381
• NII論文ID: 10002202652
• NII書誌ID: AA00698879
• DOI: 10.5636/jgg.48.1499
• ISSN: 21855765
• ISSN: 00221392
• NDL書誌ID: 4142491
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4142491
• 本文言語コード: en
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