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Unsteady viscous flow over prolate spheroids
Alassar, R.S.a b 
, Badr, H.a , Al-Rabeh, A.a , Allayla, R.a 
a King Fahd University of Petroleum and Minerals, Dhahran,
Saudi Arabia
b KFUPM Box 1620, King Fahd University of Petroleum and
Minerals, Dhahran 31261, Saudi Arabia
Abstract
In this
paper, the semi-analytical series truncation method is used to solve the full
Navier-Stokes equations for the impulsively started flow over a prolate spheroid. The equations are written in terms of the
stream function and vorticity which are expanded in
terms of series of Legendre functions. The resulting time-dependent
differential equations are solved numerically. Results are presented in the
form of streamline and equi-vorticity patterns as
well as pressure and surface vorticity distributions.
The time development of the drag coefficient is also presented.