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Theoretical analysis on the flow of melts in a curved circular tube
Author(s) -
Akita Osamu,
Ito Katsuhiko
Publication year - 1978
Publication title -
polymer engineering and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.503
H-Index - 111
eISSN - 1548-2634
pISSN - 0032-3888
DOI - 10.1002/pen.760181208
Subject(s) - tube (container) , flow (mathematics) , mechanics , materials science , boundary value problem , power law , dissipation , euler equations , mathematical analysis , classical mechanics , physics , thermodynamics , mathematics , composite material , statistics
A theoretical study is made of molten polymer flow in a curved circular tube. To obtain the velocity profile formed in the tube, a variational approach is used. A variational equation for viscous dissipation has been so determined that its Euler equation satisfies the equation of motion. An approximate velocity profile which satisfies the prescribed boundary conditions is assumed as a function involving unknown coefficients and is substituted into the variational equation to determine the unknown coefficients. Various velocity profiles of polymer melts for different flow behavior indices have been obtained under the assumption that polymer melts obey a power law.