The impulsive starting of a sphere
Author:
Chang-Yi Wang
Journal:
Quart. Appl. Math. 27 (1969), 273-277
DOI:
https://doi.org/10.1090/qam/99823
MathSciNet review:
QAM99823
Full-text PDF Free Access
Abstract |
References |
Additional Information
Abstract: A sphere is started impulsively in an incompressible viscous fluid of infinite extent. The Reynolds number is assumed to be large. The time of investigation is assumed to be small. The Navier–Stokes equations, written in spherical polar coordinates, are then iterated using the method of inner and outer expansions. Uniformly valid solutions are obtained to second order. The drag is also predicted.
E. Boltze, Grenzschichten an Rotationsköpern in Flüssigkeiten mit kleiner Reibung, Dissertation, Göttingen, 1908
H. Blasius, Grenzschichten in Flüssigkeiten mit kleiner Reibung, Zeit. Math. u. Phys. 56, 1–37 (1908)
C.-Y. Wang, The flow past a circular cylinder which is started impulsively from rest, J. Math. and Phys. 46, 195–202 (1967)
C.-Y. Wang, The resistance on a circular cylinder in an oscillating stream, Quart. Appl. Math. 23, 305–312 (1966)
E. Boltze, Grenzschichten an Rotationsköpern in Flüssigkeiten mit kleiner Reibung, Dissertation, Göttingen, 1908
H. Blasius, Grenzschichten in Flüssigkeiten mit kleiner Reibung, Zeit. Math. u. Phys. 56, 1–37 (1908)
C.-Y. Wang, The flow past a circular cylinder which is started impulsively from rest, J. Math. and Phys. 46, 195–202 (1967)
C.-Y. Wang, The resistance on a circular cylinder in an oscillating stream, Quart. Appl. Math. 23, 305–312 (1966)
Additional Information
Article copyright:
© Copyright 1969
American Mathematical Society
