Open AccessUniversal expression for the drag on a fluid sphere
Author(s) -
David Andrew Barry,
JeanYves Parlange
Publication year - 2018
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0194907
Subject(s) - drag coefficient , drag , reynolds number , spheres , bubble , physics , mechanics , expression (computer science) , limiting , drag equation , classical mechanics , parasitic drag , homogeneous , mathematics , mathematical analysis , statistical physics , turbulence , drag divergence mach number , computer science , mechanical engineering , astronomy , programming language , engineering
An expression was developed for prediction of drag coefficients for any spherical particle, drop or bubble in an infinite, homogeneous liquid. The formula reproduces the limiting cases for gas bubbles and solid spheres, as well as the exact Hadamard-Rybczynski solution. The accuracy of the expression, which is valid for Reynolds numbers up to a few hundred, was confirmed by comparison with published numerical predictions of the drag coefficient for a range of physical circumstances.