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contributor authorF. C. T. Shen
contributor authorT. S. Chen
contributor authorL. M. Huang
date accessioned2017-05-08T23:00:08Z
date available2017-05-08T23:00:08Z
date copyrightJune, 1976
date issued1976
identifier issn0021-8936
identifier otherJAMCAV-26055#209_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/88329
description abstractIn studying the stability due to axisymmetric disturbances of the developing flow of an incompressible fluid in the entrance region of a circular tube, a generalized version of the Orr-Sommerfeld equation was derived which takes account of the radial velocity component in the main flow. The new terms in the generalized Orr-Sommerfeld equation are inversely proportional to the Reynolds number. The resulting eigenvalue problem consisting of the disturbance equation and the boundary conditions was solved by a direct numerical integration scheme along with an iteration procedure. Neutral stability curves and critical Reynolds numbers at various axial locations are presented. A comparison of the present results with those from the conventional Orr-Sommerfeld equation in which the effect of the main-flow radial velocity is neglected, shows that inclusion of the radial velocity contributes to a destabilization of the main flow.
publisherThe American Society of Mechanical Engineers (ASME)
titleThe Effects of Main-Flow Radial Velocity on the Stability of Developing Laminar Pipe Flow
typeJournal Paper
journal volume43
journal issue2
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.3423810
journal fristpage209
journal lastpage212
identifier eissn1528-9036
keywordsPipe flow
keywordsStability
keywordsFlow (Dynamics)
keywordsEquations
keywordsReynolds number
keywordsIncompressible fluids
keywordsBoundary-value problems
keywordsEigenvalues AND Entrance region
treeJournal of Applied Mechanics:;1976:;volume( 043 ):;issue: 002
contenttypeFulltext


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