Stationary spiral flow in polytropic stellar models

AUTOR(ES)

Pekeris, C. L.

RESUMO

It is shown that, in addition to the static Emden solution, a self-gravitating polytropic gas has a dynamic option in which there is stationary flow along spiral trajectories wound around the surfaces of concentric tori. The motion is obtained as a solution of a partial differential equation which is satisfied by the meridional stream function, coupled with Poisson's equation and a Bernoulli-type equation for the pressure (density). The pressure is affected by the whole of the Bernoulli term rather than by the centrifugal part only, which acts for a rotating model, and it may be reduced down to zero at the center. The spiral type of flow is illustrated for an incompressible fluid (n = 0), for which an exact solution is obtained. The features of the dynamic constant-density model are discussed as a basis for future comparison with the solution for compressible models.

Documentos Relacionados

• EXPERIMENTS ON THE STABILITY OF SPIRAL FLOW BETWEEN ROTATING CYLINDERS
• Analysis of Cortical Flow Models In Vivo
• ON STELLAR ROTATION*
• Estimation of evolutionary distances under stationary and nonstationary models of nucleotide substitution
• Dormancy in Stationary-Phase Cultures of Micrococcus luteus: Flow Cytometric Analysis of Starvation and Resuscitation