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Pressure drop‐flow rate equation for adiabatic capillary flow with a pressure‐ and temperature‐dependent viscosity
Author(s) -
Denn Morton M.
Publication year - 1981
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.760210202
Subject(s) - capillary action , materials science , adiabatic process , pressure drop , thermodynamics , viscosity , flow coefficient , mechanics , flow (mathematics) , volumetric flow rate , capillary pressure , isothermal flow , open channel flow , physics , composite material , porous medium , porosity
Abstract An approximate analytical solution is obtained for the flow rate‐pressure drop relation for adiabatic capillary flow of a fluid with a pressure‐ and temperature‐dependent viscosity. Neglect of the pressure dependence can result in large errors in the usual range of injection molding practice. The approximate solution follows from an exact solution of capillary flow with a viscosity that depends only on pressure.