On some results of third-grade non-Newtonian fluid flow between two parallel plates

被引:5
|
作者
Ayub, Kamran [1 ]
Khan, M. Yaqub [1 ]
Ashraf, Muhammad [2 ]
Ahmad, Jamshad [3 ]
Mahmood-Ul-Hassan, Qazi [2 ]
机构
[1] Riphah Int Univ, Dept Math, Islamabad, Pakistan
[2] Univ Wah, Dept Math, Wah Cantt, Pakistan
[3] Univ Gujrat, Dept Math, Gujrat, Pakistan
来源
EUROPEAN PHYSICAL JOURNAL PLUS | 2017年 / 132卷 / 12期
关键词
VARIATIONAL ITERATION METHOD; PARTIAL-DIFFERENTIAL-EQUATIONS; ADOMIAN DECOMPOSITION METHOD; TRANSFORM METHOD; SYSTEMS;
D O I
10.1140/epjp/i2017-11821-1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, the main focus is to discuss the non-Newtonian third-grade fluid flow between two parallel plates. The mathematical model is consequent to the continuity and momentum equations. Three cases have been discussed such as the plane Couette flow, the plane Poiseuille flow and the last one is a plane Couette-Poiseuille flow. The modeled differential equations are converted into dimensionless form by suitable non-dimensional parameters, then they are solved by the variational iteration method (VIM). It is noticed that the variational iteration method is convenient to apply and is very helpful for finding solutions of a wide class of nonlinear problems.
引用
收藏
页数:11
相关论文
共 50 条
  • [21] RADIAL FLOW OF NON-NEWTONIAN FLUIDS BETWEEN PARALLEL PLATES
    LAURENCENA, BR
    WILLIAMS, MC
    TRANSACTIONS OF THE SOCIETY OF RHEOLOGY, 1974, 18 (03): : 331 - +
  • [22] Natural convection of non-Newtonian nanofluid flow between two vertical parallel plates
    Biswal, Uddhaba
    Chakraverty, Snehashish
    Ojha, Bata Krushna
    INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2019, 29 (06) : 1984 - 2008
  • [23] Non-Darcyeffect on non-Newtonian Bingham fluid with heat transfer between two parallel plates
    Abbas, W.
    Attia, Hazem Ali
    Abdeen, Mostafa A. M.
    BULGARIAN CHEMICAL COMMUNICATIONS, 2016, 48 (03): : 497 - 505
  • [24] Numerical study of a thermodependent non Newtonian fluid flow between two parallel plates
    Van Tuan, N
    Lebouche, M
    COMPTES RENDUS MECANIQUE, 2005, 333 (04): : 365 - 369
  • [25] Pressure drop of thermodependent non-Newtonian fluids flow between two parallel plates.
    Nguyen, Van Tuan
    Lebouche, Michel
    COMPTES RENDUS MECANIQUE, 2007, 335 (01): : 20 - 24
  • [26] IMPULSIVE MOTION OF A NON-NEWTONIAN FLUID BETWEEN 2 OSCILLATING PARALLEL PLATES
    BUJURKE, NM
    HIREMATH, PS
    BIRADAR, SN
    APPLIED SCIENTIFIC RESEARCH, 1988, 45 (03): : 211 - 231
  • [27] MAGNETOHYDRODYNAMIC AXISYMMETRIC FLOW OF A THIRD-GRADE FLUID BETWEEN TWO POROUS DISKS
    Shafiq, A.
    Nawaz, M.
    Hayat, T.
    Alsaedi, A.
    BRAZILIAN JOURNAL OF CHEMICAL ENGINEERING, 2013, 30 (03) : 599 - 609
  • [28] Shock Wave Solutions for Some Nonlinear Flow Models Arising in the Study of a Non-Newtonian Third Grade Fluid
    Aziz, Taha
    Moitsheki, R. J.
    Fatima, A.
    Mahomed, F. M.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [29] Radiative Flow of Third Grade Non-Newtonian Fluid From A Horizontal Circular Cylinder
    Gaffar, S. Abdul
    Prasad, V. Ramachandra
    Reddy, P. Ramesh
    Khan, B. Md Hidayathulla
    NONLINEAR ENGINEERING - MODELING AND APPLICATION, 2019, 8 (01): : 673 - 687