Analytical and numerical study for oscillatory flow of viscoelastic fluid in a tube with isosceles right triangular cross section.

A theoretical investigation is carried out to analyze the oscillatory flow of second-grade fluid under the periodic pressure gradient in a long tube of isosceles right triangular cross section in the present study. The analytical expressions for the velocity profile and phase difference are obtained...

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Publicado en:Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences Vol. 76; no. 11; pp. 1031 - 1045
Autores principales: Li, Yi, Huang, Yaoxin, Zhao, Moli, Wang, Shaowei
Formato: Artículo
Publicado: De Gruyter Nov2021
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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      dt: Nov2021
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      pub: De Gruyter
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        153376502
        10.1515/zna-2021-0172
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        atl: Analytical and numerical study for oscillatory flow of viscoelastic fluid in a tube with isosceles right triangular cross section.
      aug:
        au:
          Li, Yi
          Huang, Yaoxin
          Zhao, Moli
          Wang, Shaowei
        affil: Department of Engineering Mechanics, School of Civil Engineering, Shandong University, Jinan, 250061, P. R. China
      su:
        Viscoelastic materials
        Fluid flow
        Finite difference method
        Crank-Nicolson method
        Phase velocity
      sug:
        subj:
          Viscoelastic materials
          Fluid flow
          Finite difference method
          Crank-Nicolson method
          Phase velocity
      keyword:
        finite difference method
        isosceles right triangular
        oscillatory flow
        second grade fluid
      ab: A theoretical investigation is carried out to analyze the oscillatory flow of second-grade fluid under the periodic pressure gradient in a long tube of isosceles right triangular cross section in the present study. The analytical expressions for the velocity profile and phase difference are obtained. The numerical solutions are calculated by using the finite difference method with Crank–Nicolson (C–N) scheme. In comparison with the Newtonian fluid (λ = 0), the effects of retardation time, Deborah number and Womersley number on the velocity profile and phase difference are discussed numerically and graphically. For smaller Womersley number, the behavior of second-grade fluid is dominated by viscosity. For larger Womersley number α = 20, the flow becomes more difficult to be generated under periodic pressure gradient with increasing retardation time. Furthermore, the analytical expressions of the mean velocity amplitude and phase difference are given explicitly for discussing.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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          year: 2021
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