Some analytical solutions for second grade fluid flows for cylindrical geometries

被引：72
|
作者：
Hayat, T [1 ]
Khan, M [1 ]
Ayub, M [1 ]
机构：
[1] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2006年 / 43卷 / 1-2期
关键词：
second grade fluid; exact solutions; cylindrical coordinates; transient flows; hydrodynamic fluid;
D O I：
10.1016/j.mcm.2005.04.009
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This paper deals with some unsteady flow problems of a second grade fluid. The flows are generated by the sudden application of a constant pressure gradient or by the impulsive motion of a boundary. The velocities of the flows are described by the partial differential equations. Exact analytic solutions of these differential equations are obtained. The well known solutions for a Navier-Stokes fluid in the hydrodynamic case appear as the limiting cases of our solutions. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：16 / 29
页数：14
相关论文
共 50 条
  • [41] Exact solutions for steady flows of second-grade fluids
    张道祥
    冯素晓
    卢志明
    刘宇陆
    Advances in Manufacturing, 2009, 13 (04) : 340 - 344
  • [42] Some steady MHD flows of the second order fluid
    Hayat, T
    Hameed, MI
    Asghar, S
    Siddiqui, AM
    MECCANICA, 2004, 39 (04) : 345 - 355
  • [43] PERISTALTIC FLOW OF A FRACTIONAL SECOND GRADE FLUID THROUGH A CYLINDRICAL TUBE
    Tripathi, Dharmendra
    THERMAL SCIENCE, 2011, 15 : S167 - S173
  • [44] Some Steady MHD Flows of the Second Order Fluid
    T. Hayat
    M. I. Hameed
    S. Asghar
    A. M. Siddiqui
    Meccanica, 2004, 39 : 345 - 355
  • [45] A Note on the Solutions of Some Nonlinear Equations Arising in Third-Grade Fluid Flows: An Exact Approach
    Aziz, Taha
    Mahomed, F. M.
    SCIENTIFIC WORLD JOURNAL, 2014,
  • [46] Exact Solutions for the Accelerated Flows of a Generalized Second-Grade Fluid between Two Sidewalls Perpendicular to the Plate
    Khan, Masood
    JOURNAL OF POROUS MEDIA, 2009, 12 (09) : 919 - 926
  • [47] Effects of Hall current on unsteady MHD flows of a second grade fluid
    Ahmad, Masud
    Zaman, Haider
    Rehman, Naila
    CENTRAL EUROPEAN JOURNAL OF PHYSICS, 2010, 8 (03): : 422 - 431
  • [48] Unsteady Couette flows in a second grade fluid with variable material properties
    Asghar, S.
    Hayat, T.
    Ariel, P. D.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (01) : 154 - 159
  • [49] Influence of a partial slip on flows of a second grade fluid in a porous medium
    Hayat, T.
    Asghar, S.
    Khalique, C. M.
    Ellahi, R.
    JOURNAL OF POROUS MEDIA, 2007, 10 (08) : 797 - 805
  • [50] Flows of a generalized second grade fluid in a cylinder due to a velocity shock
    Mirza, Itrat Abbas
    Akram, Muhammad Saeed
    Siddique, Imran
    CHINESE JOURNAL OF PHYSICS, 2019, 60 : 720 - 730
12345