Stability of flow of a generalized second order fluid down an inclined plane

Summary

This investigation concerns the stability of flow of a generalized second-order fluid down an inclined plane with respect to three-dimensional disturbances. The critical Reynolds number is given as a function of dimensionless steady flow velocityU(y), material parameters and the slope of the plane. In this case, for long wave disturbances, Squire's theorem is valid. This result contradicts that of Gupta.

Résumé

On considère le problème de stabilité d'un fluide de second ordre sur un plan incliné. On a examiné des perturbations tridimensionelles et sous certaines conditions le théorème de Squire est valable. Ce résultat contredit le résultat obtenu par Gupta.