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A NOTE ON THE STABILITY OF PIPES CONVEYING FLUID

โœ Scribed by K.P. DENISOV; V.L. KHITRIK

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
247 KB
Volume
244
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

In their paper [1] Lundgren, Sethna and Bajaj have made a theoretical and experimental study of self-induced non-planar vibrations of a #exible tube conveying a #uid. The tube was "xed at one end and the #uid issued from a nozzle inclined to the axis of the tube at the free end. In order to study the stability boundaries for #ow-induced motions of the tube, when the nozzle angle is small, authors of the paper [1] have used the following, represented in operator form, equations for small in-plane (u) and out-of-plane (v) motions ( , H

) "0

with boundary conditions "* /* "0 at "0, * /* "0 at "1, B( , H

) "0 at "1, (2) 0022-460X/01/300904#11 $35.00/0 * * # 3 2 d d * * #3 d d * * # K K d d *( ) * d d , (7) B S ( )"! (1!cos )(*/* ), (8) * * # 3 2 d d * * , (9) B T ( )"

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