首页> 外文会议>International conference on nanochannels, microchannels and minichannels;ICNMM2011 >NATURAL CONVECTION WITH POROUS MEDIUM IN A NARROW HORIZONTAL CYLINDRICAL ANNULUS WITH LINEAR HEAT GENERATION
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NATURAL CONVECTION WITH POROUS MEDIUM IN A NARROW HORIZONTAL CYLINDRICAL ANNULUS WITH LINEAR HEAT GENERATION

机译:线性热产生的窄水平圆柱环中多孔介质的自然对流

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We consider the two-dimensional problem of steady natural convection in a narrow (micro) horizontal cylindrical annulus filled with porous medium due with linear volumetric heat generation. The solution is expanded in powers of a single combined similarity parameter, which is the product of the gap ratio to the power of two, and Rayleigh number. The series is extended by means of symbolic calculation up to 28 terms. Analysis of these expansions allows the exact computation for arbitrarily accuracy up to 50000 figures. Although the range of the radius of convergence is small, but pade approximation leads our results to be good even for much higher value of the similarity parameter.
机译:我们考虑了由于线性体积热量产生而在充满多孔介质的狭窄(微)水平圆柱环带中稳定自然对流的二维问题。用单个组合相似性参数的幂扩展解,该相似度参数是空位比与2的幂和瑞利数的乘积。该系列通过符号计算扩展到28个术语。通过对这些扩展的分析,可以对高达50000的任意精度进行精确计算。尽管会聚半径的范围很小,但是即使相似度参数的值更高,pade逼近也可以使我们的结果更好。

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