On Stokes' Second Problem for Burgers' Fluid over a Plane Wall
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JACM-7-3_021
تاریخ نمایه سازی: 12 مرداد 1400
Abstract:
The Stokes' second problem for a Burgers' fluid over a plane wall is considered in this paper. The motion of the fluid is induced by the oscillation of the plane wall between two side walls perpendicular to the plane wall. The exact analytical solutions for the velocity field and the adequate shear stress are established in simple forms by means of integral transforms. The solutions that have been obtained, presented as a sum of the steady and the transient solutions, satisfy all imposed initial and boundary conditions. In the absence of the side walls they reduce to the similar solutions over an infinite plate. Finally, the results for the velocity, as well as a comparison between models, are displayed graphically for pertinent parameters to show interesting aspects of the solutions. It is observed that the velocity and the boundary layer thickness were observed to be decreased in the presence of the side walls. Moreover, the Maxwell fluid was observed to be the speediest and the Newtonian was the slowest.
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Authors
Safia Akram
MCS, National University of Sciences and Technology, Islamabad, Pakistan
Asia Anjum
Department of Computer Science, National University of Modern Languages, H-۹, Islamabad, Pakistan
Masood Khan
Department of Mathematics, Quaid-i-Azam University, Islamabad ۴۴۰۰۰, Pakistan
Anwar Hussain
Department of Mathematics, Quaid-i-Azam University, Islamabad ۴۴۰۰۰, Pakistan
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