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首页> 外文期刊>International journal of nonlinear sciences and numerical simulation >An Exact Solution for an Unsteady Flow of a Generalized Burgers' Fluid Induced by an Accelerating Plate
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An Exact Solution for an Unsteady Flow of a Generalized Burgers' Fluid Induced by an Accelerating Plate

机译：加速板引起广义汉堡流体不稳定流动的精确解

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摘要

This paper presents a theoretical study on an unsteady flow of a generalized Burgers' fluid on an infinite flat plate subject to a translation motion with a power law time-dependent velocity in its plane. The fractional calculus is used to establish the constitutive relationship of the viscoelastic Burgers' fluid. An exact solution is obtained for velocity field by employing the Fourier sine transform and the fractional Laplace transform in terms of Mittag-Leffler function. It is shown that some classical results in the literature can be considered as special cases of our results. Furthermore, the numerical results are given for different cases and the velocity-field property is discussed.
机译：本文提出了关于广义Burgers流体在无限平板上的非定常流动的理论研究，该平板受到平移运动的影响，该平移具有幂律在时间上随时间变化的速度。分数微积分用于建立粘弹性汉堡流体的本构关系。通过使用傅立叶正弦变换和分数阶Laplace变换根据Mittag-Leffler函数获得速度场的精确解。结果表明，文献中的一些经典结果可以视为我们结果的特例。此外，给出了不同情况下的数值结果，并讨论了速度场特性。

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