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首页> 外文期刊>International journal of numerical methods for heat & fluid flow >Numerical study of a thin film flow of fourth grade fluid
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Numerical study of a thin film flow of fourth grade fluid

机译：四年级流体薄膜流动的数值研究

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Purpose - The purpose of this paper is to study the thin film flow of a fourth grade fluid subject to slip conditions in order to understand its velocity profile. Design/methodology/approach - An exact expression for flow velocity is derived in terms of hyperbolic sine functions. The practical usage of the exact flow velocity is restrictive as it involves very complicated integrals. Therefore, an approximate solution is also derived using a Galerkin finite element method and numerical error analysis is performed Findings - The behavior of fluid velocity with respect to various flow parameters is discussed. The results are not restrictive to small values of flow parameters unlike those obtained earlier using homotopy analysis method and homotopy perturbation method. Originality/value - An approximate solution based on finite element technique is derived.
机译：目的-本文的目的是研究受滑移条件影响的四年级流体的薄膜流动，以了解其速度分布。设计/方法/方法-根据双曲正弦函数得出流速的精确表达式。实际流速的实际使用受到限制，因为它涉及非常复杂的积分。因此，还使用Galerkin有限元方法导出了近似解，并进行了数值误差分析。结果-讨论了流体速度相对于各种流动参数的行为。结果并不局限于较小的流动参数值，这与先前使用同态分析方法和同态扰动方法获得的结果不同。创意/价值-得出基于有限元技术的近似解。

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