A STUDY ON THE MIXED CONVECTION BOUNDARY LAYER FLOW AND HEAT TRANSFER OVER A VERTICAL SLENDER CYLINDER

被引:24
作者
Ellahi, Rahmat [1 ,2 ]
Riaz, Arshad [2 ]
Abbasbandy, Saeid [3 ]
Hayat, Tasawar [4 ,5 ]
Vafai, Kambiz [1 ]
机构
[1] Univ Calif Riverside, Dept Mech Engn, Riverside, CA 92521 USA
[2] Int Islamic Univ, Fac Basic & Appl Sci, Dept Math, Islamabad, Pakistan
[3] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran
[4] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan
[5] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
来源
THERMAL SCIENCE | 2014年 / 18卷 / 04期
关键词
mixed convection; series solutions; homotopy analysis method; Pade technique; porous cylinder; steady flow; HOMOTOPY ANALYSIS METHOD; STAGNATION-POINT; SERIES SOLUTIONS; SIMILARITY SOLUTIONS; MICROPOLAR FLUID;
D O I
10.2298/TSCI110923097E
中图分类号
O414.1 [热力学];
学科分类号
摘要
In this investigation, the series solutions of mixed convection boundary layer flow over a vertical permeable cylinder are constructed. Two types of series as well numerical solutions are presented by choosing exponential and rational bases. The resulting differential system are solved by employing homotopy analysis method and Fade technique which have been proven to be successful in tackling non-linear problems. We offer various verifications of the solutions by comparing to existing, documented results and also mathematically, through reduction of sundry parameters. The convergence of the series solutions have been discussed explicitly. Comparison with existing results reveal that the series solutions are not only valid for large (aiding flow) but also for small values (opposingflow) of lambda and the dual solutions do not obtain in both cases.
引用
收藏
页码:1247 / 1258
页数:12
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