EVENT DETAILS AND ABSTRACT

Title: Convection, Stability and Turbulence
Speaker: Professor C. Doering
Speaker Info: U. Michigan
Brief Description:
Special Note:
Abstract:

Notions of hydrodynamic stability, usually applied to laminar stationary flows, may be extended to derive limits on turbulent transport. In this talk we review some mathematical notions of stability along with the heuristic application of a marginally stable boundary layer hypothesis to stationary and nonstationary convection in the context of convection in a porous layer. An extension of the marginal stability hypothesis is then introduced, yielding sharp rigorou bounds on heat transport for arbitrarily large Rayleigh numbers. The results of applications of these methods to convection in a fluid layer and to shear driven turbulence in an incompressible Newtonian fluid are described.