Decay of Vortex Velocity and Diffusion of Temperature in a Generalized Second Grade Fluid

SHEN Fang; TAN Wen-chang; ZHAO Yao-hua; T. Masuoka

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(10): 1053-1060

SHEN Fang, TAN Wen-chang, ZHAO Yao-hua, T. Masuoka. Decay of Vortex Velocity and Diffusion of Temperature in a Generalized Second Grade Fluid[J]. Applied Mathematics and Mechanics, 2004, 25(10): 1053-1060.

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Decay of Vortex Velocity and Diffusion of Temperature in a Generalized Second Grade Fluid

1.
Depar tment of Mechanics and Engineering Science, State Key Labora tory for bulence and Complex System Research, Peking University, Beijing 100871, P. R. China, Chinese Academy of Science, Beijing 100080, P. R. China;
Department of Mechanical Engineering Science, Kyushu University, Fukuoka, 812-8581, Japan;

Received Date: 2002-12-29
Rev Recd Date: 2004-03-12
Publish Date: 2004-10-15

Abstract

Abstract

The fractional calculus approach in the constitutive relationship model of viscoelastic fluid was introduced.The velocity and temperature fields of the vortex flow of a generalized second fluid with fractional derivative model were described by fractional partial differential equations.Exact analytical solutions of these differential equations were obtained by using the discrete Laplace transform of the sequential fractional derivatives and generalized Mittag-Leffler function.The influence of fractional coefficient on the decay of vortex velocity and diffusion of temperature was also analyzed.
- generalized second grade fluid,
- fractional calculus,
- unsteady flow,
- temperature field,
- generalized Mittag-Leffler function

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References(17)

References

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