Vol.2, No 10, 2000 pp. 1219-1232
UDC 532.517(045)
ON THE FLUID
FLOW OVER A COMPLIANT WALL
Vladan D. Djordjević
University of Belgrade, Faculty of Mechanical
Engineering, Belgrade, Yugoslavia
Abstract. In this reviewing paper we
elucidate two aspects of fluid flow phenomena occuring as a result of strong
interaction with flexible walls. The first one is concerned with the possibility
of flow control through the supression of Tollmien-Schlichting instabilities,
and the reduction of body drag. For that reason the appearance of divergence
instability and travelling-wave flutter on the surface of a flexible coating
under the effect of fluid flow is discussed. The second aspect is concerned
with the flow through collapsible channels, pertinent to blood flow in
arteries and pulmonary flow in human airways. Steady, lubrication type
flow and boundary layer type flow, interacting with flexible walls which
elastic behavior is modeled via von Karman geometrically nonlinear shell
theory are treated into some details.
O STRUJANJU
FLUIDA PREKO PODATLJIVIH POVRŠINA
U ovome preglednom radu tretiraju se dva aspekta
onih strujanja fluida koja nastaju kao rezultat jake interakcije sa fleksibilnim
zidom. Prvi aspect se odnosi na mogućnosti upravljanja strujanjem fluida
preko potiskivanja Tolmin-Šlihtingovih nestabilnosti i smanjivanja otpora
tela. U tu svrhu diskutuju se pojava divergencije i flatera u vidu putujećeg
talasa, pod uticajem strujanja fluida. Drugi aspect se odnosi na strujanje
fluida kroz kolapsibilne kanale, a u vezi sa strujanjem krvi kroz arterije
i strujanjem vazduha u plućima čoveka. Detaljno se diskutuju stacionarna
strujanja tipa podmazivanja i tipa graničnog sloja u interactiji sa fleksibilnim
zidovima čije se elastično ponašanje modelira pomoću Karmanove geometrijski
nelinearne teorije ljuski.
