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首页> 外文期刊>European Physical Journal Plus >A mathematical analysis of a circular pipe in rate type fluid via Hankel transform
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A mathematical analysis of a circular pipe in rate type fluid via Hankel transform

机译：河口变换速率型流体圆管的数学分析

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摘要

In this paper, helices of a generalized Oldroyd-B fluid have been analyzed through a horizontal circular pipe. The circular pipe is taken in the form of a circular cylinder. The analytical solutions are determined for velocities and shear stresses due to the unsteady helical flow of a generalized Oldroyd-B fluid. The general solutions are derived by using finite Hankel and discrete Laplace transforms to satisfy the imposed conditions and the governing equations. The special cases of our general solutions are also perused performing the same motion for fractional and ordinary Maxwell fluid, fractional and ordinary second-grade fluid and fractional and ordinary viscous fluid as well. The graphical illustration is depicted in order to explore how the two velocities and shear stresses profiles are impacted by different rheological parameters, for instance, fractional parameter, relaxation time, retardation time, material non-zero constant, dynamic viscosity and few others. Finally, ordinary and fractional operators have various similarities and differences on a circular pipe for helicoidal behavior of fluid flow.
机译：在本文中，通过水平圆形管道分析了广义oldroyd-B流体的螺旋。圆形管道以圆筒的形式拍摄。由于广义oldroyd-B流体的不稳定螺旋流动，确定分析溶液的速度和剪切应力。通过使用有限嗜烟和离散拉普拉斯变换来推导通用溶液，以满足施加的条件和控制方程。我们的通用解决方案的特殊情况也仔细地对分数和普通麦克风流体，分数和普通的二级流体以及分数和普通粘性流体进行了相同的运动。描绘了图形图示，以探讨两个速度和剪切应力曲线如何受到不同流变参数的影响，例如，分数参数，弛豫时间，延迟时间，材料非零常数，动态粘度等。最后，普通和分数算子在循环管道上具有各种相似性和差异，用于流体流动的螺旋行为。

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  • 来源
    《European Physical Journal Plus》 |2018年第10期|共9页
  • 作者

    Abro Kashif Ali; Khan Ilyas; Gomez-Aguilar J. F.;

  • 作者单位

    Mehran Univ Engn &

    Technol Dept Basic Sci &

    Related Studies Jamshoro Pakistan;

    Majmaah Univ Basic Engn Sci Dept Coll Engn Al Majmaah Saudi Arabia;

    CONACyT Tecnol Nacl Mexico CENIDET Interior Internado Palmira S-N Cuernavaca 62490 Morelos Mexico;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 物理学;
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