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粘弹性流体流经作依赖时间运动伸展面的三维流动及其传质问题
引用本文:T·哈亚特,M·穆斯塔法.粘弹性流体流经作依赖时间运动伸展面的三维流动及其传质问题[J].应用数学和力学,2011,32(2):158-170.
作者姓名:T·哈亚特  M·穆斯塔法
作者单位:奎得衣阿扎姆大学 力学系,伊斯兰堡 44000, 巴基斯坦;
摘    要:研究粘弹性流体流经伸展面时的三维边界层流动.假定伸展面的运动速度依赖于时间.进一步考虑了更高阶次化学反应对传质的影响.应用同伦分析法(HAM)进行计算.精确地分析了所得级数解的收敛性.用图形讨论了各参数变化对速度和浓度的影响.还给出了面传质数值的计算,将所得结果与前人的数值解进行了比较.

关 键 词:不稳定流动    传质    粘弹性流体    HAM解
收稿时间:2010-07-02

Time-Dependent Three-Dimensional Flow and Mass Transfer of an Elastico-Viscous Fluid Over an Unsteady Stretching Sheet
T·Hanyat,M·Mustafa.Time-Dependent Three-Dimensional Flow and Mass Transfer of an Elastico-Viscous Fluid Over an Unsteady Stretching Sheet[J].Applied Mathematics and Mechanics,2011,32(2):158-170.
Authors:T·Hanyat  M·Mustafa
Institution:Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan;Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudia Arabia
Abstract:The three-dimensional boundary layer flow of an elastico-viscous fluid over a stretching surface was looked at. Velocity of the stretching sheet was assumed to be time-dependent. Effect of mass transfer with higher order chemical reaction was further considered. Computations were made by homptopy analysis method(HAM). The convergence of the obtained series solutions was explicitly analyzed. The variations of embedding parameters on the velocity and concentration were graphically discussed. Numerical computations of surface mass transfer were reported. Comparison of the present results with the numerical solutions was also seen.
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