Flow of a Maxwell fluid between two side walls induced by a constantly accelerating plate

被引：10

作者：

Akhtar, Waseem ^{[1
]}

Fetecau, Corina ^{[2
]}

Tigoiu, Victor ^{[3
]}

Fetecau, Constantin

机构：

[1] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore, Pakistan

[2] Tech Univ, Dept Theoret Mech, Iasi, Romania

[3] Univ Bucharest, Bucharest, Romania

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2009年 / 60卷 / 03期

关键词：

Maxwell fluid; constantly accelerating plate; side walls; velocity field; MOTION;

D O I：

10.1007/s00033-008-7129-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The unsteady flow of a Maxwell fluid induced by a constantly accelerating plate between two side walls perpendicular to the plate is studied. Exact solutions for the velocity field are established by means of the Fourier sine transforms. The adequate tangential stresses are also determined. The similar solutions for a Newtonian fluid are obtained as limiting cases of our solutions. In the absence of the side walls, the similar solutions for the unsteady flow over an infinite flat plate are recovered. Finally, for comparison, the velocity field in the middle of the channel and the shear stresses at the bottom wall and on the side walls are plotted for different values of the material constants.

引用

页码：498 / 510

页数：13

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