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 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Engineering(all)

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