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首页> 外文期刊>Nonlinear analysis. Real world applications >Unsteady flow of a second grade fluid between two side walls perpendicular to a plate
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Unsteady flow of a second grade fluid between two side walls perpendicular to a plate

机译：二级流体在垂直于板的两个侧壁之间的非稳定流动

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摘要

Exact solutions for the unsteady flow of a second grade fluid induced by the time-dependent motion of a plane wall between two side walls perpendicular to the plane are established by means of the Fourier sine transforms. The similar solutions for Newtonian fluids, performing the same motions, are obtained as limiting cases for alpha(1) -> 0. The steady solutions, the same for Newtonian and non-Newtonian fluids, are also obtained as limiting cases for t -> infinity. In the absence of the side walls, all solutions that have been obtained reduce to those corresponding to the motion over an infinite plate. Graphical illustrations show that the diagrams corresponding to the velocity field in the middle of channel and the shear stress at the bottom wall for a second grade fluid are going to be those for a Newtonian fluid if the normal stress module alpha(1) -> 0. (C) 2007 Elsevier Ltd. All rights reserved.
机译：借助于傅立叶正弦变换，建立了由与垂直于该平面的两个侧壁之间的平面壁的随时间变化的运动所引起的第二级流体的非稳态流动的精确解。对于牛顿流体，执行相同运动的相似解作为极限条件为alpha（1）->0。对于牛顿流体和非牛顿流体，相同的稳态解也作为极限条件为t->无限。在没有侧壁的情况下，已经获得的所有解决方案都减少到与无限板上方的运动相对应的解决方案。图形显示，如果法向应力模块alpha（1）-> 0，则对应于通道中间速度场和二阶流体底壁处的切应力的图表将适用于牛顿流体。 （C）2007 Elsevier Ltd.保留所有权利。

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