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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v29.i2.100
10 pages

On the Linearized Dynamic Equations of a Rotating Stratified Compressible Fluid

N. V. Saltanov
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
P. A. Shestopal
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

RÉSUMÉ

Representations of the generalized potentials in the theory of a rotating stratified compressible fluid are considered. Being undisturbed, the fluid is exponentially stratified along the axis z directed along the gravity force vector. Using the generalized potential as the base, the solution of the problem of the uniform helical flow past a sphere is obtained. When the helicity coefficient of the helical flow tends to zero, this solution is shown to transform to the traditional solution of the problem of a potential flow past a sphere. The influence of the helicity coefficient's variation on the flow patterns and pressure coefficient is analyzed.