Prediction of Incompressible Separated Boundary Layers Including Viscous-Inviscid Interaction

Viscous boundary-layer effects in nearly inviscid cylindrical flows

The dynamics of flow inside a cylinder at high Reynolds number are considered. A study of the viscous boundary layer near the walls is performed. In the case where there is no pressure gradient, a result is proven demonstrating that a regular perturbation expansion holds for the solution, even when a small discontinuity exists in the wall data. In addition, the characteristic decay rate of the ...

Application of viscous-inviscid interaction methods to transonic turbulent flows

A model of glottal flow incorporating viscous-inviscid interaction

A model of flow passing through the glottis is presented by employing the boundary-layer assumption. A thin boundary layer near the glottal wall influences the flow behavior in terms of the flow separation, jet formation, and pressure distribution along the channel. The integral momentum relation has been developed to analyze the boundary layer accurately, and it can be solved numerically for t...

Quasi-Simultaneous Viscous-Inviscid Interaction for Transonic Airfoil Flow

Following Prandtl, a viscous-inviscid interaction (VII) method is presented, where the flow field is divided into a viscous shear layer and an inviscid outer region. Their coupling is performed with the quasi-simultaneous approach, making use of an appropriately chosen interaction law. Firstly, an engineering example of transonic airfoil flow is presented, in which the interaction law is based ...

The Inviscid Limit and Boundary Layers for Navier-Stokes flows

The validity of the vanishing viscosity limit, that is, whether solutions of the Navier-Stokes equations modeling viscous incompressible flows converge to solutions of the Euler equations modeling inviscid incompressible flows as viscosity approaches zero, is one of the most fundamental issues in mathematical fluid mechanics. The problem is classified into two categories: the case when the phys...