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孔祥言, 佘敏. 多孔介质中对流的周期性解与混沌[J]. 力学学报, 1997, 29(6): 655-661. DOI:10.6052/0459-1879-1997-6-1995-281
引用本文: 孔祥言, 佘敏. 多孔介质中对流的周期性解与混沌[J]. 力学学报, 1997, 29(6): 655-661.DOI:10.6052/0459-1879-1997-6-1995-281
PERIODIC AND CHAOTIC SOLUTIONS OF CONVECTION IN POROUS MEDIA[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(6): 655-661. DOI:10.6052/0459-1879-1997-6-1995-281
Citation: PERIODIC AND CHAOTIC SOLUTIONS OF CONVECTION IN POROUS MEDIA[J].Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(6): 655-661.DOI:10.6052/0459-1879-1997-6-1995-281

多孔介质中对流的周期性解与混沌

PERIODIC AND CHAOTIC SOLUTIONS OF CONVECTION IN POROUS MEDIA

  • 摘要:研究多孔介质内部有热源的对流传热.用高阶差分研究在不同的渗流瑞利(Rayleigh)数Ra下对流随时间进展的演化情况(为比较起见也适当考察倾斜角的影响).Ra计算到大约16000.结果表明:在Ra较小时对流是稳定的,Ra增大到4600出现了非稳定的但为周期性的解.随着Ra进一步增大,出现一些混沌窗口.对于有侧斜角的情形,还出现阵发性

    Abstract:Convective heat transfer in a porous medium with uniform internal heat generation per unit volume q is studied. Evolution of convection with the lapse of time at various Rayleigh numbers is investigated by higher order defference techniques (effect of tilted angle is properly studied for comparison). Convection is computed up to about Ra=16 000 . The results show that the convection is stable at small Ra , and becomes periodic when Ra is increased to 4 600, as Ra is further increased there...

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