This is a tutorial on reduced chemistry modeling and sensitivity analysis using computational singular perturbation, or CSP. After briefly presenting the underlying mathematics, the exposition focuses on how to use CSP data to neglect the non-participating elementary reactions in the reaction database, to trim the number of relevant reactants, and how to identify the so-called “CSP radicals” an...

We present solutions of the laminar compressible boundary-layer flows over the family of rotating cones subject to surface mass flux. The work is a generalization of previous studies of the compressible rotating-disk flow and incompressible rotating-cone flow without surface mass flux. Transformations are used which lead to a system of generalized von Karman equations with boundary conditions p...

A synthetic fluid dynamo built in the spirit of the Bullard device [1] is investigated. It is a two-step dynamo in which one process stems from the fluid turbulence, while the other part is achieved by a linear amplification of currents in external coils [2]. Modifications in the forcing are introduced in order to change the dynamics of the flow, and hence the dynamo behavior. Some features, su...

To control the Karman vortex street formed behind a thin airfoil at a certain incidence, a control cylinder was placed at the suction side apart from the airfoil in the downstream region. Both smoke visualization and hot-wire measurements confirmed that the Karman vortex street was completely suppressed. The mechanism for suppression of the vortex street was examined with a hot-wire survey.

The flow of a thin layer of power-law fluid on a porous inclined plane is considered. The unsteady equations of motion are depth-integrated according to the von Karman momentum integral method. The variation of the velocity distribution with the depth is accounted for, and it is furthermore assumed that the flow through the porous medium is governed by the modified Darcy’s law. The stability co...

The subject is to establish solution formulae for elliptic (and parabolic) semi-linear boundary problems. The results should be new in at least two respects: the desired formulae result from a parametrix construction for semilinear problems, using only parametrices from the linear theory and the mild assumption that the non-linearity may be decomposed into a suitable solutiondependent linear op...

We report on a refined version of our spin-glass type approach to the lowtemperature physics of structural glasses. Its key idea is based on a Born von Karman expansion of the interaction potential about a set of reference positions in which glassy aspects are modeled by taking the harmonic contribution within this expansion to be random. Within the present refined version the expansion at the ...