Fluid flow through a helical pipe

被引：0
|
作者：
Eduard Marušić-Paloka
Igor Pažanin
机构：
[1] University of Zagreb,Department of Applied Mathematics
来源：
Zeitschrift für angewandte Mathematik und Physik | 2007年 / 58卷
关键词：
35B40; 35Q30; 76D05; Navier–Stokes equations; helical pipe; asymptotic analysis; curvilinear coordinates;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we study the flow of incompressible Newtonian fluid through a helical pipe with prescribed pressures at its ends. Pipe’s thickness and the helix step are considered as the small parameter ɛ. By rigorous asymptotic analysis, as ɛ→ 0 , the effective behaviour of the flow is found. The error estimate for the approximation is proved.
引用
收藏
页码：81 / 99
页数：18
相关论文
共 50 条
  • [1] Fluid flow through a helical pipe
    Marusic-Paloka, Eduard
    Pazanin, Igor
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2007, 58 (01): : 81 - 99
  • [2] FLUID FLOW IN A HELICAL PIPE
    张金锁
    章本照
    [J]. Acta Mechanica Sinica, 1999, 15 (04) : 299 - 312
  • [3] Fluid flow in a helical pipe
    Zhang, JS
    Zhang, BZ
    [J]. ACTA MECHANICA SINICA, 1999, 15 (04) : 299 - 312
  • [4] Fluid flow in a helical pipe
    Zhang Jinsuo
    Zhang Benzhao
    [J]. Acta Mechanica Sinica, 1999, 15 (4) : 299 - 312
  • [5] Laminar fluid flow in helical elliptical pipe
    Zhang, Jinsuo
    Zhang, Benzhao
    [J]. Journal of Hydrodynamics, 2000, 12 (02) : 62 - 71
  • [6] LAMINAR FLUID FLOW IN HELICAL ELLIPTICAL PIPE
    Zhang Jin suo
    [J]. Journal of Hydrodynamics, 2000, (02) : 62 - 71
  • [7] On the Solvability of a Problem of Stationary Fluid Flow in a Helical Pipe
    Pazanin, Igor
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2009, 2009
  • [8] Effective flow of a viscous liquid through a helical pipe
    Marusic-Paloka, E
    Pazanin, I
    [J]. COMPTES RENDUS MECANIQUE, 2004, 332 (12): : 973 - 978
  • [9] Experimental and numerical study on vibrations of a helical pipe with fluid flow
    Czerwinski, Andrzej
    Luczko, Jan
    [J]. MICROCHEMICAL JOURNAL, 2022, 181
  • [10] Experimental and numerical study on vibrations of a helical pipe with fluid flow
    Czerwinski, Andrzej
    Luczko, Jan
    [J]. JOURNAL OF SOUND AND VIBRATION, 2022, 535
12345