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An experimental investigation of the flow of aqueous non‐Newtonian high polymer solutions past a sphere
Author(s) -
Turian Raffi M.
Publication year - 1967
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.690130531
Subject(s) - drag coefficient , spheres , extrapolation , drag , newtonian fluid , cylinder , mechanics , viscosity , aqueous solution , materials science , thermodynamics , non newtonian fluid , terminal velocity , chemistry , physics , mathematics , geometry , mathematical analysis , astronomy
The terminal velocities of spheres falling in aqueous solutions of hydroxyethyl cellulose and polyethylene oxide were determined with ruby and steel spheres. For each sphere the terminal velocity was obtained in seven cylinder sizes covering a range of sphere‐to‐cylinder diameter ratio from 0.0067 to 0.18. The data were used in an extrapolation to correct for the cylindrical wall effect. Several alternative extrapolation procedures for estimating the zero shear viscosity were attempted and the results were compared. An empirical correlation for the drag coefficient was developed in terms of the Ellis parameters of the fluids, and the Faxén wall correction for Newtonian flow. the correlation gives the drag coefficient within 4% for all cases in which the quantity η v t / D τ1/2 is less than 0.3.