| Analysis of Natural Convection in an Elliptical Cavity,Using a Dini Expansion |
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| 引用本文： | Y. Mochimaru(Associate Professor,Dept. of Control and Systems Engineering,Tokyo Institute of Technology,Tokyo 152,Japan). Analysis of Natural Convection in an Elliptical Cavity,Using a Dini Expansion[J]. 热科学学报(英文版), 1998, 7(4): 238-245. DOI: 10.1007/s11630-998-0033-x |
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| 作者姓名： | Y. Mochimaru(Associate Professor Dept. of Control and Systems Engineering Tokyo Institute of Technology Tokyo 152 Japan) |
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| 作者单位： | Associate Professor，Dept. of Control and Systems Engineering，Tokyo Institute of Technology，Tokyo 152，Japan |
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| 摘 要： | INTRODUCTIONNaturalconvectioninanellipticalcavityheatedfrombelowwastreatednumericallybyM..him.ull],usingaFourierspectralfinitedifferencemethod,anditseffectivenesswasshownasinRef.[2].AlsopossibilityoftheextensiontovarioustypesofboundaryconditionsforthespectralfinitedeferenceschemewasproposedinReL[2-3].HerethespectralfinitedifferenceschemeisbeingextendedtoadoptDimexpansions(akindofBesselexpansions).NUMERICALANAlySISBasicAssumptionsbleatedistransiellttwo--dimensionalnaturallaminarco…
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| 关 键 词： | 自然对流 椭圆腔 Dini展式 |
Analysis of natural convection in an elliptical cavity, using a Dini expansion |
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| Y. Mochimaru. Analysis of natural convection in an elliptical cavity, using a Dini expansion[J]. Journal of Thermal Science, 1998, 7(4): 238-245. DOI: 10.1007/s11630-998-0033-x |
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| Authors: | Y. Mochimaru |
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| Affiliation: | (1) Associate Professor, Dept. of Control and Systems Engineering, Tokyo Institute of Technology, 152 Tokyo, Japan |
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| Abstract: | Analyzed is natural transient convection followed by steady-state convection in an elliptical cavity heated from below, using a spectral finite difference scheme in terms of a Dim expansion. The major or minor axis of the elliptic section of the cavity is assumed to be placed horizontally. As a thermal boundary condition, Dirichlet or Neumann condition is specified. Not only for nearly pure-heat conduction case at low Grashof numbers but also for strong convection flow with cellular patterns at larger Grashof numbers are found to be attained at least for some combination of Prandtl numbers and geometrical parameters. |
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| Keywords: | natural convection elliptic cavity Dini expansion |
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