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Sedimentation of a sphere along the axis of a long square duet filled with non‐newtonian liquids
Author(s) -
Balaramakrishna P. V.,
Chhabra R. P.
Publication year - 1992
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450700427
Subject(s) - settling , sedimentation , newtonian fluid , square (algebra) , power law , non newtonian fluid , reynolds number , mechanics , physics , particle (ecology) , classical mechanics , thermodynamics , geometry , mathematics , geology , geomorphology , sediment , statistics , oceanography , turbulence
Based on extensive experimental results, it is shown that the retardation effect caused by the confining walls on the free settling velocity of a sphere is smaller with square walls than that with cylindrical boundaries. This is true for both Newtonian and power law fluids, provided the particle Reynolds number is small (< about 5). The values of the wall factor for Newtonian liquids are in excellent agreement with theory (up to R / L ≤ 0.1) while those for power law fluids have been correlated empirically via a linear relationship. The results reported here encompass the following ranges of conditions: 1 ≥ n ≥ 0.7; Re < 15 and 0.024 < R/L < 0.238.