Axisymmetric squeezing flow of third grade fluid in presence of convective conditions

被引:39
作者
Hayat, Tasawar [1 ,2 ]
Nazar, Hira [1 ]
Imtiaz, Maria [1 ]
Alsaedi, Ahmed [2 ]
Ayub, M. [1 ]
机构
[1] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
[2] King Abdulaziz Univ, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, Dept Math, Jeddah 21589, Saudi Arabia
关键词
Magnetohydrodynamics (MHD); Axisymmetric flow; Third grade fluid; Squeezing flow; Thermal radiation; Convective boundary conditions; CHRISTOV HEAT-FLUX; ANALYTIC APPROXIMATE SOLUTIONS; STRETCHABLE ROTATING-DISK; OLDROYD-B FLUID; THERMAL-RADIATION; NANOFLUID FLOW; HETEROGENEOUS REACTIONS; VISCOELASTIC FLUID; PARALLEL PLATES; NANO-FLUIDS;
D O I
10.1016/j.cjph.2017.02.005
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This article examines unsteady axisymmetric flow of third grade fluid between two disks. Upper disk is being squeezed towards the lower porous disk. Electrically conducting fluid and convective boundary conditions are used. Heat transfer analysis is carried out in the presence of Joule heating, viscous dissipation and thermal radiation effects. Partial differential equations are reduced into ordinary differential equations by using suitable transformations. Convergent series solutions of velocity and temperature are obtained. Effects of various dimensionless parameters are observed on the velocity and temperature. Numerical values of skin friction coefficient and Nusselt number are also computed and examined. (C) 2017 The Physical Society of the Republic of China (Taiwan). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:738 / 754
页数:17
相关论文
共 32 条
[1]   On series solution for unsteady boundary layer equations in a special third grade fluid [J].
Abbasbandy, S. ;
Hayat, T. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (08) :3140-3146
[2]   Numerical and analytical solutions for Falkner-Skan flow of MHD Maxwell fluid [J].
Abbasbandy, Saeid ;
Naz, Rahila ;
Hayat, Tasawar ;
Alsaedi, A. .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 242 :569-575
[3]  
CORTELL R, J KING SAUD U SCI, V26, P161
[4]   Squeezing Cu-water nanofluid flow analysis between parallel plates by DTM-Pade Method [J].
Domairry, G. ;
Hatami, M. .
JOURNAL OF MOLECULAR LIQUIDS, 2014, 193 :37-44
[5]   Effects of slip on the non-linear flows of a third grade fluid [J].
Ellahi, R. ;
Hayat, T. ;
Mahomed, F. M. ;
Asghar, S. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (01) :139-146
[6]   On the computation of analytical solutions of an unsteady magnetohydrodynamics flow of a third grade fluid with Hall effects [J].
Fakhar, K. ;
Kara, A. H. ;
Khan, I. ;
Sajid, M. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (04) :980-987
[7]   Series solutions of non-similarity boundary layer flows of nano-fluids over stretching surfaces [J].
Farooq, U. ;
Hayat, T. ;
Alsaedi, A. ;
Liao, S. J. .
NUMERICAL ALGORITHMS, 2015, 70 (01) :43-59
[8]   Heat and mass transfer of two-layer flows of third-grade nano-fluids in a vertical channel [J].
Farooq, U. ;
Hayat, T. ;
Alsaedi, A. ;
Liao, Shijun .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 242 :528-540
[9]   Energetic balance for the Rayleigh-Stokes problem of an Oldroyd-B fluid [J].
Fetecau, C. ;
Hayat, T. ;
Zierep, J. ;
Sajid, M. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (01) :1-13
[10]  
Fosdick R.L., 1980, P R SOC, V369, P351