Energetic balance for the Rayleigh-Stokes problem of an Oldroyd-B fluid

被引：18

作者：

Fetecau, C. ^{[2
,5
]}

Hayat, T. ^{[2
,4
]}

Zierep, J. ^{[3
]}

Sajid, M. ^{[1
]}

机构：

[1] PINSTECH, Theoret Plasma Phys Div, Islamabad 44000, Pakistan

[2] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan

[3] Univ Karlsruhe, Inst Stromungslehre, D-76131 Karlsruhe, Germany

[4] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

[5] Tech Univ Iasi, Dept Math, Iasi 700050, Romania

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 01期

关键词：

Oldroyd-B fluids; Kinetic energy; Dissipation; Boundary layer thickness; MOTION; FLOWS;

D O I：

10.1016/j.nonrwa.2009.12.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Dissipation, the power due to the shear stress at the wall, the change of kinetic energy with time as well as the boundary layer thickness corresponding to the Rayleigh-Stokes problem for an Oldroyd-B fluid are established. The corresponding expressions of Maxwell. second grade and Newtonian fluids, performing the same motions, are obtained as the limiting cases of our general results. Specific features of the four models are emphasized by means of the asymptotic approximations and graphical representations. It is worth mentioning that in comparison with the Newtonian model, the power of the shear stress at the wall and the dissipation for Oldroyd-B fluids increase while the boundary layer thickness decreases. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1 / 13

页数：13

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