Peristaltic transport of a two-layered fluid in a catheterized tube

• Published in: Theoretical and applied mechanics (Belgrade, Serbia) Vol. 39; no. 4; pp. 291 - 311
• Main Authors: Medhavi, Amit, Singh, U.K.
• Format: Journal Article
• Language: English
• Published: Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade 2012
• Subjects: amplitude ratio; catheter size; friction force; peripheral layer; pressure drop
• ISSN: 1450-5584; 2406-0925
• DOI: 10.2298/TAM1204291M

The flow of a two-layered Newtonian fluid induced by peristaltic waves in a
catheterized tube has been investigated. The expressions for the flow
characteristics- the flow rate, the pressure drop and the friction forces at
the tube and catheter wall are derived. It is found that the pressure drop
increases with the flow rate but decreases with the increasing peripheral
layer thickness and a linear relationship between pressure and flow exists.
The pressure drop increases with the catheter size (radius) and assumes a
high asymptotic magnitude at the catheter size more that the fifty percent
of the tube size. The friction forces at the tube and catheter wall posses
characteristics similar to that of the pressure drop with respect to any
parameter. However, friction force at catheter wall assumes much smaller
magnitude than the corresponding value at the tube wall.
Razmatra se tecenje dvoslojnog fluida izazvan peristalticnim talasima u
kateter cevi. Izvedeni su izrazi za karakteristike tecenja - brzinu tecenja,
pad pritiska i sile trenja na cevi i zidu katetera. Nadjeno je da pad pritiska
raste sa brzinom tecenja ali opada porastom debljine perifernog sloja i da
postoji linearna relacija izmedju pritiska i brzine. Pad pritiska raste sa
velicinom poluprecnika katetera i tezi ka visokoj asimptotskoj velicini kada
je poluprecnik katetera jednak polovini poluprecnika cevi. Sile trenja na
cevi i zidu katetera poseduju karakteristike slicne onima za pad pritiska u
odnosu na bilo koji parametar. Medjutim, sila trenja na zidu katetera ima
mnogo manju velicinu od odgovarajuce vrednosti na zidu cevi.