Latest News

About CAMQ

Information for Authors

Editorial Board

Browse CAMQ Online

Subscription and Pricing

CAMQ Contacts

CAMQ Home

 

Volume 8,     Number 3,     Fall 2000

 

THE INITIAL FLOW PAST A UNIFORMLY
ACCELERATING INCLINED ELLIPTIC CYLINDER
S.J.D. D'ALESSIO AND F.W. CHAPMAN

Abstract. This paper solves the problem of determining the initial two-dimensional motion of a viscous incompressible fluid past an inclined elliptic cylinder which is uniformly accelerated from rest. This motion is calculated using two types of methods. The first takes the form of a double series solution where an expansion is carried out in powers of the time, t, and in powers of λ = √8t/R where R is the Reynolds number. This approximate analytical solution is valid for small times following the start of the motion and for large Reynolds numbers. The second method involves a spectral-finite difference procedure for numerically integrating the full Navier-Stokes equations expressed in terms of a stream function and vorticity. Our results demonstrate that for small times and moderately large R the two methods of solution are in good agreement. Results are presented for the cases R = 100 and R = 1, 000 for an ellipse inclined at 45º to the free stream and having an aspect ratio of 0.5.

 

Download PDF Files
 
(Subscribers Only)

© 2005, Canadian Applied Mathematics Quarterly (CAMQ)