HEAT TRANSFER ANALYSIS BASED ON CATTANEO-CHRISTOV HEAT FLUX MODEL AND CONVECTIVE BOUNDARY CONDITIONS FOR FLOW OVER AN OSCILLATORY STRETCHING SURFACE

被引:15
|
作者
Ullah Khan, Sami [1 ]
Ali, Nasir [2 ]
Hayat, Tasawar [3 ,4 ]
Abbas, Zaheer [5 ]
机构
[1] COMSATS Univ Islamabad, Dept Math, Sahiwal, Pakistan
[2] Int Islam Univ, Dept Math & Stat, Islamabad, Pakistan
[3] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan
[4] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math Res Grp, Fac Sci, Jeddah, Saudi Arabia
[5] Islamia Univ Bahawalpur, Dept Math, Bahawalpur, Pakistan
来源
THERMAL SCIENCE | 2019年 / 23卷 / 02期
关键词
Maxwell fluid; Cattaneo-Christov heat flux model; oscillatory stretching sheet; homotopy analysis method; MASS-TRANSFER; VISCOELASTIC FLUID; MAXWELL FLUID; STEADY FLOW; LAYER-FLOW; SHEET; SUCTION;
D O I
10.2298/TSCI160225172U
中图分类号
O414.1 [热力学];
学科分类号
摘要
In this study, we investigate the heat transfer characteristics in unsteady boundary-layer flow of Maxwell fluid by using Cattaneo-Christov heat flux model and convective boundary conditions. The flow is caused by a sheet which is stretched periodically back and forth in its own plane. The physical model that takes into account the effects of constant applied magnetic field is transformed into highly non-linear PDE under boundary-layer approximations. The solution of dimensionless version of these equations is developed using homotopy analysis method. The simulations are presented in the form of temperature and velocity profiles for suitable range of physical parameters. The obtained results illustrate that an increase in Deborah number and Hartmann number suppress the velocity profiles. It is further observed that Cattaneo-Christov heat flux model predicts the suppression of thermal boundary-layer thickness as compared to Fourier law.
引用
收藏
页码:443 / 455
页数:13
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