During recent years, with the rapid development of science and technology in micro- and nanomeasuring technologies, it has been found that there are many significant differences in fluid flow at between macro-scale and micro/nano-scale, such as wall-slip phenomenon.Fluids exhibiting slip are important in technological applications.Therefore better understanding of the phenomenon of slip is necessary.This paper presents a theoretical analysis for the MHD stagnation-point flows of an upper-convected Maxwell fluid towards a stretching sheet with slip.The governing system of partial differential equations is first transformed into a system of dimensionless ordinary differential equations.By using the homotopy analysis method, a convergent series solution is obtained.The reliability and efficiency of series solutions are illustrated by good agreement with numerical results in the literature.Besides, the effects of the slip parameter, the magnetic field parameter, velocity ratio parameter, suction/injection velocity parameter and elasticity number on the flow are investigated.The flow and shear stress depend heavily on the velocity slip parameter γ.Also, effect of increasing values of γ is to decrease the variation of ｜f"(0)｜ and the surface shear stress ｜f”(0)｜ is close to 0 with γ →∞.The dimensionless velocity f'(η) decreases with an increase in elasticity number β and γ when velocity ratio parameter d is large than 1.However, an opposite behavior has been found when d ＜ 1.%从理论上研究了上随体Maxwell流体在滑移流区的动量传输问题.通过一系列相似变换把控制方程组转化为常微分方程组,利用同伦分析法首次求得了问题的近似解析解.获得的同伦解析解与文献中的数值解吻合较好.利用同伦解分析讨论了滑移参数、磁场强度、速度比例参数、吸入喷住参数和流体黏弹性参数对流动的影响.
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