Oscillatory oseenlets

Elmazuzi, RAH

Abstract

Consider uniform flow past an oscillating body. Assume that the resulting far-field flow
consists of both steady and time periodic components. The time periodic component can
be decomposed into a Fourier expansion series of time harmonic terms. The form of the
steady terms given by the steady oseenlets are well-known. However, the time-harmonic
terms given by the oscillatory oseenlets are not. In particular, the Green's functions associated
with these terms are presented.
In this thesis, the oscillatory oseenlet solution is presented for the velocity and pressure,
and the forces generated by them are calculated. A physical interpretation is given so that
the consequences for moving oscillating bodies can be determined.
As the frequency of the oscillations tend to zero, it is shown that the steady oseenlet solution
is recovered. Also, as the Reynolds number of the flow tends to zero, it is shown that
the oscillatory stokeslet solution is recovered. In this latter case, the oscillatory oseenlets
solution is an outer matching to the inner oscillatory stokeslet solution. An application of
this new representation is discussed for future work.

Citation

Elmazuzi, R. Oscillatory oseenlets. (Thesis). University of Salford

• Thesis Type: Thesis
• Deposit Date: Jun 5, 2017
• Publicly Available Date: Jun 5, 2017
• Additional Information: Funders : Libyan Education
• Award Date: Apr 1, 2011