Open AccessOn the steady motion of a cylinder through infinite viscous fluid
Publication year - 1923
Publication title -
proceedings of the royal society of london. series a, containing papers of a mathematical and physical character
Language(s) - English
Resource type - Journals
eISSN - 2053-9150
pISSN - 0950-1207
DOI - 10.1098/rspa.1923.0033
Subject(s) - inertia , cylinder , motion (physics) , viscous liquid , classical mechanics , fluid motion , mechanics , equations of motion , mathematics , argument (complex analysis) , physics , mathematical analysis , geometry , biochemistry , chemistry
There are a good many known solutions of problems of the three-dimensional motion of an infinite viscous fluid disturbed by a moving solid. The simplest of the corresponding two-dimensional problems, that of a circular cylinder moving with uniform velocity, was shown by Stokes to be impossible, when the equations of motion are simplified by the omission of the so-called “inertia terms”; and a general physical argument, given by him to explain the essential difference between the cases of two- and three-dimensions, suggests that the problem is insoluble for a cylinder of any ordinary form, if the “inertia terms” are neglected.