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A hybrid analytical algorithm for thin film flow problem occurring in non-Newtonian fluid mechanics
Ain Shams Engineering Journal ( IF 6 ) Pub Date : 2020-11-11 , DOI: 10.1016/j.asej.2020.09.006
Sushila , Jagdev Singh , Devendra Kumar , Dumitru Baleanu

In this work, we investigate thin film flow of a third grade fluid down a inclined plane. The solution of a nonlinear boundary value problem (BVP) is derived by using an effective well organized computational scheme namely homotopy perturbation Elzaki transform method. Furthermore, this model is also resolved by Elzaki decomposition technique. The outcomes achieved by these two approaches are consistent with each other and because of that this technique may be regarded as an optional and effective scheme for determining results of linear and nonlinear BVP. Moreover, the homotopy perturbation Elzaki transform method leads over the Elzaki decomposition method since the nonlinear problems are solved without utilization of Adomian polynomials.



中文翻译:

非牛顿流体力学中薄膜流动问题的混合解析算法

在这项工作中,我们研究了三级流体沿倾斜平面的薄膜流动。非线性边值问题 (BVP) 的解决方案是通过使用有效的组织良好的计算方案,即同伦扰动 Elzaki 变换方法得出的。此外,该模型也由 Elzaki 分解技术解决。这两种方法获得的结果是一致的,因此该技术可以被视为确定线性和非线性 BVP 结果的一种可选且有效的方案。此外,同伦微扰 Elzaki 变换方法优于 Elzaki 分解方法,因为非线性问题是在不使用 Adomian 多项式的情况下解决的。

更新日期:2020-11-11
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