FUNDAMENTAL STEADY FLOW OF POLAR FLUIDS.

Tatsuo Sawada, Takahiko Tanahashi

研究成果: Article

抄録

A few fundamental steady flows of polar fluid, i. e. , flow in a circular tube, flow between two parallel plates and flow between two coaxial cylinders are analyzed with the help of the theory of Eringen. Couple stress and spin angular momentum are considered in this approach. The exact solutions for velocity, micro-rotation, vorticity and shearing stress are obtained mathematically. These solutions are characterized by two parameters, i. e. , the ratio of viscosities epsilon and the size effect parameter lambda which do not appear in a Newtonian fluid. epsilon is the ratio of vortex viscosity to shear viscosity. epsilon means the size relation between the corpuscle and the characteristic length. The solutions are compared with those of Newtonian fluid and it is investigated how they vary with epsilon and lambda . Apparent viscosity is determined for each flow. Material constants of polar fluid can be decided from these apparent viscosities.

元の言語English
ページ(範囲)1778-1786
ページ数9
ジャーナルBulletin of the JSME
24
発行部数196
出版物ステータスPublished - 1981 10
外部発表Yes

Fingerprint

Steady flow
Viscosity
Fluids
Shear viscosity
Angular momentum
Pipe flow
Vorticity
Shearing
Vortex flow

ASJC Scopus subject areas

  • Engineering(all)

これを引用

Sawada, T., & Tanahashi, T. (1981). FUNDAMENTAL STEADY FLOW OF POLAR FLUIDS. Bulletin of the JSME, 24(196), 1778-1786.

FUNDAMENTAL STEADY FLOW OF POLAR FLUIDS. / Sawada, Tatsuo; Tanahashi, Takahiko.

:: Bulletin of the JSME, 巻 24, 番号 196, 10.1981, p. 1778-1786.

研究成果: Article

Sawada, T & Tanahashi, T 1981, 'FUNDAMENTAL STEADY FLOW OF POLAR FLUIDS.', Bulletin of the JSME, 巻. 24, 番号 196, pp. 1778-1786.
Sawada, Tatsuo ; Tanahashi, Takahiko. / FUNDAMENTAL STEADY FLOW OF POLAR FLUIDS. :: Bulletin of the JSME. 1981 ; 巻 24, 番号 196. pp. 1778-1786.
@article{69ea4e0c0d9449ecbde5a82d3d8eb154,
title = "FUNDAMENTAL STEADY FLOW OF POLAR FLUIDS.",
abstract = "A few fundamental steady flows of polar fluid, i. e. , flow in a circular tube, flow between two parallel plates and flow between two coaxial cylinders are analyzed with the help of the theory of Eringen. Couple stress and spin angular momentum are considered in this approach. The exact solutions for velocity, micro-rotation, vorticity and shearing stress are obtained mathematically. These solutions are characterized by two parameters, i. e. , the ratio of viscosities epsilon and the size effect parameter lambda which do not appear in a Newtonian fluid. epsilon is the ratio of vortex viscosity to shear viscosity. epsilon means the size relation between the corpuscle and the characteristic length. The solutions are compared with those of Newtonian fluid and it is investigated how they vary with epsilon and lambda . Apparent viscosity is determined for each flow. Material constants of polar fluid can be decided from these apparent viscosities.",
author = "Tatsuo Sawada and Takahiko Tanahashi",
year = "1981",
month = "10",
language = "English",
volume = "24",
pages = "1778--1786",
journal = "Bulletin of the JSME",
issn = "0021-3764",
publisher = "Society of Mechanical Engineers",
number = "196",

}

TY - JOUR

T1 - FUNDAMENTAL STEADY FLOW OF POLAR FLUIDS.

AU - Sawada, Tatsuo

AU - Tanahashi, Takahiko

PY - 1981/10

Y1 - 1981/10

N2 - A few fundamental steady flows of polar fluid, i. e. , flow in a circular tube, flow between two parallel plates and flow between two coaxial cylinders are analyzed with the help of the theory of Eringen. Couple stress and spin angular momentum are considered in this approach. The exact solutions for velocity, micro-rotation, vorticity and shearing stress are obtained mathematically. These solutions are characterized by two parameters, i. e. , the ratio of viscosities epsilon and the size effect parameter lambda which do not appear in a Newtonian fluid. epsilon is the ratio of vortex viscosity to shear viscosity. epsilon means the size relation between the corpuscle and the characteristic length. The solutions are compared with those of Newtonian fluid and it is investigated how they vary with epsilon and lambda . Apparent viscosity is determined for each flow. Material constants of polar fluid can be decided from these apparent viscosities.

AB - A few fundamental steady flows of polar fluid, i. e. , flow in a circular tube, flow between two parallel plates and flow between two coaxial cylinders are analyzed with the help of the theory of Eringen. Couple stress and spin angular momentum are considered in this approach. The exact solutions for velocity, micro-rotation, vorticity and shearing stress are obtained mathematically. These solutions are characterized by two parameters, i. e. , the ratio of viscosities epsilon and the size effect parameter lambda which do not appear in a Newtonian fluid. epsilon is the ratio of vortex viscosity to shear viscosity. epsilon means the size relation between the corpuscle and the characteristic length. The solutions are compared with those of Newtonian fluid and it is investigated how they vary with epsilon and lambda . Apparent viscosity is determined for each flow. Material constants of polar fluid can be decided from these apparent viscosities.

UR - http://www.scopus.com/inward/record.url?scp=0019626963&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0019626963&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0019626963

VL - 24

SP - 1778

EP - 1786

JO - Bulletin of the JSME

JF - Bulletin of the JSME

SN - 0021-3764

IS - 196

ER -