A mathematical model of a ramp forced hot-wire thermal conductivity instrument

作者: Shamseddin S. Mohammadi , Michael S. Graboski , E. Dendy Sloan

DOI: 10.1016/0017-9310(81)90011-9

关键词: ThermodynamicsKnudsen flowKnudsen numberStep functionNatural convectionTruncation error (numerical integration)Materials scienceMechanicsThermal conductivityThermal conductionHeat generation

摘要: Abstract The fundamental model and corrections for the absolute determination of fluid thermal conductivity using a transient hot-wire technique were studied. Analytical solutions three heat generation functions (Dirac, step ramp) are presented. ramp function is shown to offer several advantages over function, which currently used by experimenters. Expressions idealized forced system presented for: capacity effect, truncation error, nonuniform wire radius, bounded media, Knudsen effects, axial conduction, free convection radiation.

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