Axial Couette Flow of Two Kinds of Fractional Viscoelastic
首发时间:2006-10-30
Abstract:This paper deals with the unsteady axial Couette flow of fractional second grade fluid (FSGF) and fractional Maxwell fluid (FMF) between two infinitely long concentric circular cylinders. With the help of integral transforms (Laplace transform and Weber transform), generalized Mittag-Leffler function and H-Fox function, we get the analytical solutions of the models. Then we discuss the exact solutions and find some results which have been known as special cases of our solutions. Finally, we analyze the effects of the fractional derivative on the models by use of the numerical results and find that the oscillation exists in the velocity field of FMF.
keywords: axial Couette flow fractional second grade fluid fractional Maxwell fluid fractional calculus
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环管内两类分数阶粘弹性流体轴向流动的精确解
摘要:在文中,我们研究了两种不同的分数阶粘弹性流体在环管内的轴向非定常Couette流动。借助于积分变换的工具和Mittag-Leffler函数,我们得到了流动的精确解。最后,我们对所得的结果做了数值模拟,并对已有结果做了比较分析。
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环管内两类分数阶粘弹性流体轴向流动的精确解
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