Title page for ETD etd-06062008-164706
|Type of Document
||Linear stability analysis of non-reacting and reacting elliptical jets
|Brown, Eugene F.
|Dancey, Clinton L.
|Ragab, Saad A.
|Date of Defense
A spatial linear stability analysis of circular and elliptical jets has been carried out.
For the circular jet, the Michalke' s shooting method has been extended to the case with a
swirling basic flow. For the elliptical jet, an algebraic eigenvalue problem has been
formulated by applying the Chebyshev and Fourier spectral collocation method to the
disturbance equations of the flow expressed in a generalized cylindrical coordinate
system. The resulting algebraic eigenvalue problem was solved using the inverse power
method. The approach developed is capable of handling the influences of different
distributions of the momentum thickness, swirl, and heat release. In addition to studying
the stability properties of the elliptical jet in comparison with those of a circular jet, the
linear stability analysis has been used to obtain the insight into the entrainment process.
A possible way to enhance the entrainment of elliptical jets has been suggested.
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