Journal
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
Volume 37, Issue 1, Pages 1-18Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0020-7462(00)00092-5
Keywords
laminar viscous flow; sphere; drag formula; analytic approximations; Navier-Stokes equations; homotopy analysis method
Categories
Ask authors/readers for more resources
We give an analytic solution at the 10th order of approximation for the steady-state laminar viscous flows past a sphere in a uniform stream governed by the exact, fully non-linear Navier-Stokes equations. A new kind of analytic technique, namely the homotopy analysis method, is applied, by means of which Whitehead's paradox can be easily avoided and reasonably explained. Different from all previous perturbation approximations, our analytic approximations are valid in the whole field of flow, because we use the same approximations to express the flows near and far from the sphere. Our drag coefficient formula at the 10th order of approximation agrees better with experimental data in a region of Reynolds number R-d < 30, which is considerably larger than that (R-d < 5) of all previous theoretical ones. (C) 2001 Elsevier Science Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available