OSCILLATORY FLOW OF A FLUID WITH COUPLE STRESS.

Tatsuo Sawada, Takahiko Tanahashi, Tsuneyo Ando

Research output: Contribution to journalArticle

Abstract

Applications of couple stress and micropolar theories to the problems of oscillatory flow in a circular tube are discussed. Couple stress and spin angular momentum are considered in this approach. The exact solutions for velocity, micro-rotation, vorticity, shearing stress, flow rate and energy dissipation are obtained mathematically. The energy dissipation over the cross section are calculated numerically. These solutions are characterized by three parameters. One is dimensionless frequency W, which is called Womersley number. The others are the ratios of viscosities epsilon and the size effect parameter lambda , which do not appear in Newtonian fluid.

Original languageEnglish
Pages (from-to)65-82
Number of pages18
JournalKeio Science and Technology Reports
Volume34
Issue number4
Publication statusPublished - 1981
Externally publishedYes

Fingerprint

Fluids
Energy dissipation
Angular momentum
Vorticity
Shearing
Flow rate
Viscosity

ASJC Scopus subject areas

  • Engineering(all)

Cite this

OSCILLATORY FLOW OF A FLUID WITH COUPLE STRESS. / Sawada, Tatsuo; Tanahashi, Takahiko; Ando, Tsuneyo.

In: Keio Science and Technology Reports, Vol. 34, No. 4, 1981, p. 65-82.

Research output: Contribution to journalArticle

Sawada, T, Tanahashi, T & Ando, T 1981, 'OSCILLATORY FLOW OF A FLUID WITH COUPLE STRESS.', Keio Science and Technology Reports, vol. 34, no. 4, pp. 65-82.
Sawada, Tatsuo ; Tanahashi, Takahiko ; Ando, Tsuneyo. / OSCILLATORY FLOW OF A FLUID WITH COUPLE STRESS. In: Keio Science and Technology Reports. 1981 ; Vol. 34, No. 4. pp. 65-82.
@article{9a0991cda63f49daa416aa36cafbb88c,
title = "OSCILLATORY FLOW OF A FLUID WITH COUPLE STRESS.",
abstract = "Applications of couple stress and micropolar theories to the problems of oscillatory flow in a circular tube are discussed. Couple stress and spin angular momentum are considered in this approach. The exact solutions for velocity, micro-rotation, vorticity, shearing stress, flow rate and energy dissipation are obtained mathematically. The energy dissipation over the cross section are calculated numerically. These solutions are characterized by three parameters. One is dimensionless frequency W, which is called Womersley number. The others are the ratios of viscosities epsilon and the size effect parameter lambda , which do not appear in Newtonian fluid.",
author = "Tatsuo Sawada and Takahiko Tanahashi and Tsuneyo Ando",
year = "1981",
language = "English",
volume = "34",
pages = "65--82",
journal = "Keio Science and Technology Reports",
issn = "0286-4215",
publisher = "Keio University",
number = "4",

}

TY - JOUR

T1 - OSCILLATORY FLOW OF A FLUID WITH COUPLE STRESS.

AU - Sawada, Tatsuo

AU - Tanahashi, Takahiko

AU - Ando, Tsuneyo

PY - 1981

Y1 - 1981

N2 - Applications of couple stress and micropolar theories to the problems of oscillatory flow in a circular tube are discussed. Couple stress and spin angular momentum are considered in this approach. The exact solutions for velocity, micro-rotation, vorticity, shearing stress, flow rate and energy dissipation are obtained mathematically. The energy dissipation over the cross section are calculated numerically. These solutions are characterized by three parameters. One is dimensionless frequency W, which is called Womersley number. The others are the ratios of viscosities epsilon and the size effect parameter lambda , which do not appear in Newtonian fluid.

AB - Applications of couple stress and micropolar theories to the problems of oscillatory flow in a circular tube are discussed. Couple stress and spin angular momentum are considered in this approach. The exact solutions for velocity, micro-rotation, vorticity, shearing stress, flow rate and energy dissipation are obtained mathematically. The energy dissipation over the cross section are calculated numerically. These solutions are characterized by three parameters. One is dimensionless frequency W, which is called Womersley number. The others are the ratios of viscosities epsilon and the size effect parameter lambda , which do not appear in Newtonian fluid.

UR - http://www.scopus.com/inward/record.url?scp=0019699892&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0019699892&partnerID=8YFLogxK

M3 - Article

VL - 34

SP - 65

EP - 82

JO - Keio Science and Technology Reports

JF - Keio Science and Technology Reports

SN - 0286-4215

IS - 4

ER -