Some exact solutions for the rotational flow of a generalized second-grade fluid between two circular cylinders

被引：0

作者：

Mahmood, A. ^{[1
]}

Saifullah ^{[1
]}

Bolat, G. ^{[2
]}

机构：

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

[2] Tech Univ Iasi, R-6600 Iasi, Romania

来源：

ARCHIVES OF MECHANICS | 2008年 / 60卷 / 05期

关键词：

generalized second-grade fluid; velocity field; shear stress; fractional calculus; Hankel and Laplace transforms;

D O I：

暂无

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

THE VELOCITY FIELD and the associated tangential stress corresponding to the flow of a generalized second-grade fluid between two infinite coaxial circular cylinders, are determined by means of the Laplace and Hankel transforms. At time t = 0, the fluid is at rest and at t = 0(+) the cylinders suddenly begin to rotate about their common axis with a constant angular acceleration. The solutions that have been obtained satisfy the governing differential equations and all the imposed initial and boundary conditions. The similar solutions for a second-grade fluid and Newtonian fluid are recovered from our general solutions. The influence of the fractional coefficient oil the velocity of the fluid is also analyzed by graphical illustrations.

引用

页码：385 / 401

页数：17

共 24 条

[11]

HILEFER R, 2000, APPL FRACTIONAL CALC

[12] Unsteady motions of a generalized second-grade fluid [J].