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Stability characteristics for flows of the vortex sheet type

Fung, Y T

Illumina Biological Content - unstructured, 1982

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Título:
Stability characteristics for flows of the vortex sheet type
Autor: Fung, Y T
É parte de: Illumina Biological Content - unstructured, 1982
Notas: content type line 59
SourceType-Reports-1
ObjectType-Report-1
Descrição: The interfacial conditions for a cylindrical vortex sheet or a cylindrical fluid layer are examined for the case of incompressible fluids. Temporal perturbations are considered. The rotating velocity in vortex motions plays a dual role in flow stability. The radial velocity gradient generates tangential shear and the fluid rotation creates a centrifugal force field. While the former always destabilizes the flow, the latter can either stabilize or destabilize the flow depending upon whether the resultant force field is centrifugally stable or unstable. These characteristics are demonstrated by examining three general types of perturbations. Deformations of the vortex sheet or the fluid layer affect the flow field in two ways: disturbing the total pressure field and perturbing the centrifugal force field created by the azimuthal components of the velocity and magnetic fields. The latter, has often been overlooked in previous analyses. Failure to consider such a perturbation to a stable centrifugal force field will lead to the improper destabilization of modes with smaller axial and azimuthal wave numbers.
Idioma: Inglês

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