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Viscosity profiles, discharge rates, pressures, and torques for a rheologically complex fluid in a helical flow
Author(s) -
Savins J. G.,
Wallick G. C.
Publication year - 1966
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690120228
Subject(s) - mechanics , cylinder , pressure gradient , viscosity , flow (mathematics) , coupling (piping) , torque , volumetric flow rate , axial compressor , constitutive equation , shear rate , chemistry , classical mechanics , materials science , thermodynamics , physics , geometry , mathematics , finite element method , composite material , gas compressor
Quantitative predictions are presented to show how the axial discharge rate and pressure gradient and angular velocity and torque become coupled when a fluid exhibiting a shear‐dependent viscosity behavior is subjected to a helical flow field. The numerical scheme developed here is completely general and applicable to a wide choice of constitutive equations. For purposes of illustration only, results are described for an Oldroyd type of constitutive equation. The coupling effect is illustrated for different relative speeds of the cylinders, axial flow rates, axial pressure gradients, and ratios of cylinder diameters. The most interesting consequence of the coupling effect is that the axial flow resistance is lowered in a helical flow with the result, for example, that for a given applied axial pressure gradient, the axial discharge rate in a helical flow field is higher than in a purely annular flow field.