Oscillatory oseenlets

Consider uniform flow past an oscillating body. Assume that the resulting far-field flowconsists of both steady and time periodic components. The time periodic component canbe decomposed into a Fourier expansion series of time harmonic terms. The form of thesteady terms given by the steady oseenlets are well-known. However, the time-harmonicterms given by the oscillatory oseenlets are not. In particular, the Green's functions associatedwith 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 thatthe consequences for moving oscillating bodies can be determined.As the frequency of the oscillations tend to zero, it is shown that the steady oseenlet solutionis recovered. Also, as the Reynolds number of the flow tends to zero, it is shown thatthe oscillatory stokeslet solution is recovered. In this latter case, the oscillatory oseenletssolution is an outer matching to the inner oscillatory stokeslet solution. An application ofthis new representation is discussed for future work.

Level dc:type.qualificationlevel

Doctoral (Level 8)

Year dc:date.issued

2011

Author dc:creator

• Elmazuzi, RAH

Language dc:language

en

Identifier

oai:salford-repository.worktribe.com:1400973

OAI identifier oai:identifier

oai:salford-repository.worktribe.com:1400973