A Combined Method for Determining Velocity of Starting Flow in a Long Circular Tube

Abstract

A combination of experimental and analytical methods is used to determine the velocity of fluid in a starting flow process in a circular tube. The developing pressure gradient, measured experimentally in the fully developed region, is expressed as a function of time and is used in the solution of Navier-Stockes equations for axial flow in a circular tube. Expressions for velocity in time and space and the average discharge are obtained by Laplace's transformation technique. The velocity profiles and discharge under time-dependent pressure gradient are compared with those under constant pressure gradient. Significant differences between the velocities are found during the flow establishment, and the assumption of constant pressure gradient in the period of flow establishment, as considered in a number of studies, appears to be unsatisfactory.

Department(s)

Mechanical and Aerospace Engineering

International Standard Serial Number (ISSN)

0031-9015

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1969 Physical Society of Japan, All rights reserved.

Publication Date

01 Jan 1969

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