An incompressible, reactive, viscous ow reaches a hot circular cylinder causing a reaction to start. We observe the progress of the reaction, concentrating in the transition towards turbulence within the boundary layer. The problem is divided into the uid dynamics eeects and the combustion eeects. The motion of the ow is resolved by the use of a hybrid vortex algorithm; the reactive part of the...

We study the 2D Euler equation in a bounded simply-connected domain, and establish local uniqueness of flow whose stream function ψε satisfies{−ε2Δψε=∑i=1k1Bδ(z0,i)(ψε−με,i)+γ,inΩ,ψε=0,on∂Ω, with ε→0+ scale parameter vortices, γ∈(0,∞), Ω⊂R2 simply connected Lipschitz z0,i∈Ω limiting location ith vortex, με,i flux constants unprescribed. Our proof is achieved by detailed description asymptotic b...

This paper explores an idealized model of the ocean surface in which widely separated surface-wave packets and point vortices interact two horizontal dimensions. We start with a Lagrangian which, its general form, depends on \emph{fields} wave action, phase, stream function, additional fields that label track vertical component vorticity. By assuming action vorticity are confined to infinitesim...

This paper reports a CFD modeling study on the possibility of using high temperature and low oxygen content exhaust gases as oxidant for combustion in an industrial furnace by a written computer program. Under these conditions,the predicted results for the flow and heat transfer properties are compared with those under the several cases of conventional and highly preheated...

An exact complex mapping is used to show the close relationship between the Schroedinger equation for a charged particle in an external ̄eld, the Landau-Ginsburg equation for the order parameter in a superconductor, and the equation for the evolution of vorticity in a Navier-Stokes compressible, viscous, °uid. The absolute square of the wave function, or complex order paramter, is exactly equal...

A forced KdV equation including the special topography effect is derived to describe nonlinear long wave and solitary eddy based on quasi-geostrophic potential vorticity model. We obtain theoretical solution of concrete form stream function through perturbation theory multi-scale analysis methods. It found that joint weak shear basic flow can change cyclone anticyclone structure eddy, in meanti...