EXACT SOLUTIONS FOR THE UNSTEADY FLOW OF A BURGERS' FLUID BETWEEN TWO SIDEWALLS PERPENDICULAR TO THE PLATE

被引:21
作者
Khan, M. [1 ]
Malik, Rabia [1 ]
Fetecau, Corina [2 ]
Fetecau, C. [3 ]
机构
[1] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
[2] Tech Univ Iasi, Dept Theoret Mech, Iasi, Romania
[3] Tech Univ Iasi, Dept Math, Iasi, Romania
关键词
Burgers' fluid; Exact solutions; Unsteady flow; OLDROYD-B FLUID; RECTANGULAR CROSS-SECTION; 2ND-GRADE FLUID; POROUS-MEDIUM; SIDE WALLS; UNIDIRECTIONAL FLOWS; STARTING SOLUTIONS; PARALLEL PLATES; HALL CURRENT; SPACE;
D O I
10.1080/00986441003626078
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
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.
引用
收藏
页码:1367 / 1386
页数:20
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