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Transient creeping flow around spheres
Author(s) -
Sy Francisco,
Taunton J. W.,
Lightfoot E. N.
Publication year - 1970
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.690160314
Subject(s) - spheres , mechanics , bubble , stokes flow , flow (mathematics) , hele shaw flow , stokes number , physics , transient flow , classical mechanics , transient (computer programming) , viscosity , drop (telecommunication) , thermodynamics , open channel flow , reynolds number , meteorology , astronomy , surge , turbulence , telecommunications , computer science , operating system
An explicit description is given for the gravitationally induced motion of an initially stationary gas bubble under creeping flow conditions. Analysis has shown that such a solution is good for all values of the Weber number as long as the quadratic terms in velocity are negligible in the Navier‐Stokes equation. It was also determined that the description of transient flow around a sphere from potential flow theory agrees with the short‐time limit of the creeping flow equations as applied to a gas bubble and solid sphere. The necessary steps to obtain a solution for the more general case of a spherical drop with appreciable density and viscosity is presented. Also, numerical comparison of the motion of a gas bubble and a weightless solid sphere shows that the times required to reach a given fraction of terminal velocity are nearly the same.