Thin film flow of non-Newtonian fluids on a vertical moving belt using Homotopy Analysis Method
Thin film flow of non-Newtonian fluids on a vertical moving belt using Homotopy Analysis Method
复制标题
使用同伦分析法研究非牛顿流体在垂直移动带上的薄膜流动
DOI：
10.25103/jestr.021.22
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
Hemmatnezhad
中科院分区：
文献类型：
--
作者：
H. Nemati;M. Ghanbarpour;M. Hajibabayi;Hemmatnezhad
在这项研究中，薄膜流动的两个非牛顿流体，即，一个Sisko流体和Oldroyd 6-常数流体的垂直移动带的非线性微分方程组模型的问题进行了研究。该系统是使用同伦分析方法（HAM），它产生一个解析解的形式，一个快速收敛的无穷级数，易于计算的条款。同伦分析方法中含有辅助参数λ，为我们调节和控制解级数的收敛区域提供了一种简单的方法。通过适当选择辅助参数，可以得到大模量情况下的合理解。
In this study, the problem of thin film flow of two non-Newtonian fluids namely, a Sisko fluid and an Oldroyd 6-constant fluid on a vertical moving belt that modeled by a system of nonlinear differential equations is studied. The system is solved using the Homotopy Analysis Method (HAM), which yields an analytic solution in the form of a rapidly convergent infinite series with easily computable terms. Homotopy analysis method contains the auxiliary parameter , which provides us with a simple way to adjust and control the convergence region of solution series. By suitable choice of the auxiliary parameter , reasonable solutions for large modulus can be obtained.