UNSTEADY FORCES ON A BODY IMMERSED IN VISCOUS FLUIDS (2ND REPORT, UNIFORMLY ACCELERATED FLAT PLATE, ELLIPTIC AND CIRCULAR CYLINDERS).

Takahiko Tanahashi, Tatsuo Sawada, Eriya Kanai, Akira Chino, Tsuneyo Ando

Research output: Contribution to journalArticle

Abstract

The early stage of the flows due to unformly accelerated flat plate, elliptic and circular cylinders from rest in incompressible viscous fluids are numerically studied by the finite difference method. The time dependence of streamlines and equi-vorticity lines are shown in the flow patterns. The Dufort-Frankel technique is used for solving the vorticity transport equation and the finite Fourier transform for solving the stream function, which is applied to the analysis of a block tridiagonal matrix equation. Numerical experiments obtained here have very good agreement with real experiments for flat plates and circular cylinders.

Original languageEnglish
Pages (from-to)3142-3151
Number of pages10
JournalNippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
Volume50
Issue number460
Publication statusPublished - 1984 Dec
Externally publishedYes

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viscous fluids
circular cylinders
Circular cylinders
flat plates
Vorticity
vorticity
Fluids
Finite difference method
Flow patterns
Fourier transforms
Experiments
time dependence
flow distribution

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

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title = "UNSTEADY FORCES ON A BODY IMMERSED IN VISCOUS FLUIDS (2ND REPORT, UNIFORMLY ACCELERATED FLAT PLATE, ELLIPTIC AND CIRCULAR CYLINDERS).",
abstract = "The early stage of the flows due to unformly accelerated flat plate, elliptic and circular cylinders from rest in incompressible viscous fluids are numerically studied by the finite difference method. The time dependence of streamlines and equi-vorticity lines are shown in the flow patterns. The Dufort-Frankel technique is used for solving the vorticity transport equation and the finite Fourier transform for solving the stream function, which is applied to the analysis of a block tridiagonal matrix equation. Numerical experiments obtained here have very good agreement with real experiments for flat plates and circular cylinders.",
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T1 - UNSTEADY FORCES ON A BODY IMMERSED IN VISCOUS FLUIDS (2ND REPORT, UNIFORMLY ACCELERATED FLAT PLATE, ELLIPTIC AND CIRCULAR CYLINDERS).

AU - Tanahashi, Takahiko

AU - Sawada, Tatsuo

AU - Kanai, Eriya

AU - Chino, Akira

AU - Ando, Tsuneyo

PY - 1984/12

Y1 - 1984/12

N2 - The early stage of the flows due to unformly accelerated flat plate, elliptic and circular cylinders from rest in incompressible viscous fluids are numerically studied by the finite difference method. The time dependence of streamlines and equi-vorticity lines are shown in the flow patterns. The Dufort-Frankel technique is used for solving the vorticity transport equation and the finite Fourier transform for solving the stream function, which is applied to the analysis of a block tridiagonal matrix equation. Numerical experiments obtained here have very good agreement with real experiments for flat plates and circular cylinders.

AB - The early stage of the flows due to unformly accelerated flat plate, elliptic and circular cylinders from rest in incompressible viscous fluids are numerically studied by the finite difference method. The time dependence of streamlines and equi-vorticity lines are shown in the flow patterns. The Dufort-Frankel technique is used for solving the vorticity transport equation and the finite Fourier transform for solving the stream function, which is applied to the analysis of a block tridiagonal matrix equation. Numerical experiments obtained here have very good agreement with real experiments for flat plates and circular cylinders.

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