Analytical Solutions of Fractional Partial Differential equations for the Second grade fluid Flow

M. Ikram, Zuhaa Binte Tahir, Maira Anwar, Muhammad Imran Asjad
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Abstract

This research work is related to unsteady movement of second-grade fluid over an infinite plate. The governing equations for flow are developed through constitutive relations. Then classical model extended to fractional order model with power law fractional differential operator. The Laplace transform (LT) technique is applied to find the analytical results and stated as series satisfy the boundary conditions. To see physical significance of flow parameters some graphs are displayed. Recent results from the existing literature are recovered to validate.   Copyright(c) The Authors
二级流体流动的分数阶偏微分方程的解析解
本研究工作涉及二级流体在无限大板上的非定常运动。通过本构关系推导出流动的控制方程。然后利用幂律分数阶微分算子将经典模型扩展为分数阶模型。应用拉普拉斯变换(LT)技术求出满足边界条件的解析结果,并表示为级数。为了了解流动参数的物理意义,显示了一些图形。从现有文献中恢复最近的结果来验证。版权(c)作者
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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