the present paper deals with the prediction of three-dimensional fluid flow and heat transfer in rib-roughened ducts of square cross-section. such flows are of direct relevance to the internal cooling system of modern gas turbine blades. the main objective is to assess how a recently developed variant of a cubic non-linear model (proposed by craft et al. (1999)), that has been shown to produce ...

We study the problem of feedback control for skew-symmetric and skewHamiltonian transfer functions using skew-symmetric controllers. This extends work of Helmke, et al., who studied static symmetric feedback control of symmetric and Hamiltonian linear systems. We identify spaces of linear systems with symmetry as natural subvarieties of the moduli space of rational curves in a Grassmannian, giv...