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Apparent viscosity of a fluid–gas mixture
Author(s) -
Lewis David H.,
Ryason P. R.
Publication year - 1980
Publication title -
journal of applied polymer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.575
H-Index - 166
eISSN - 1097-4628
pISSN - 0021-8995
DOI - 10.1002/app.1980.070250816
Subject(s) - inviscid flow , viscosity , thermodynamics , compressibility , newtonian fluid , non newtonian fluid , herschel–bulkley fluid , generalized newtonian fluid , apparent viscosity , mechanics , isothermal flow , isothermal process , shear rate , materials science , physics , turbulence , open channel flow
The inertia free flow of a one‐dimensional, isothermal fluid–gas mixture in a tube of constant radius is analyzed. The fluid is viscous, non‐Newtonian, and incompressible; the gas is inviscid and compressible. Integration of the equations of continuity, momentum, and state enable the prediction of axial pressure, velocity, density, volumetric flow rate, and shear–stress profiles. Departures from corresponding profiles observed in the flow of non‐Newtonian power‐law fluids are evident. The apparent viscosity of the fluid–gas mixture is computed and compared to that of the fluid alone. A reduction in apparent viscosity is noted. Previously reported experimental evidence of a reduction in viscosity in a non‐Newtonian fluid–gas mixture is recalled and it is claimed that the physical model presented here is capable of explaining the observed reduction in apparent viscosity.