EXACT SOLUTIONS FOR THE UNSTEADY FLOW OF A BURGERS' FLUID BETWEEN TWO SIDEWALLS PERPENDICULAR TO THE PLATE
EXACT SOLUTIONS FOR THE UNSTEADY FLOW OF A BURGERS' FLUID BETWEEN TWO SIDEWALLS PERPENDICULAR TO THE PLATE
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DOI：
10.1080/00986441003626078
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发表时间：
2010-04
影响因子：
2.5
通讯作者：
M. Khan;R. Malik;C. Fetecau;C. Fetecau
中科院分区：
文献类型：
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作者：
M. Khan;R. Malik;C. Fetecau;C. Fetecau
本文给出了不可压缩Burgers流体在垂直于板的两个侧壁之间的冲击运动诱导下的非定常流动的精确解。采用傅立叶正弦变换，速度场，切向应力和体积通量的表达式得到。所得到的解决方案满足所有强加的初始和边界条件，并在没有侧壁减少到解决方案对应的流动在一个无限大的平板。通过图解说明了材料参数对速度场和底壁切向应力的影响。
This article presents the exact solutions for the unsteady flow of an incompressible Burgers' fluid induced by the impulsive motion of a plate between two sidewalls perpendicular to the plate. Employing the Fourier sine transforms, the expressions for the velocity field, the tangential stresses, and the volume flux are obtained. The obtained solutions satisfy all imposed initial and boundary conditions and in the absence of the sidewalls reduce to the solutions corresponding to the flow over an infinite flat plate. The effect of the material parameters on the velocity field and the tangential stress at the bottom wall is spotlighted by means of the graphical illustrations.