AEROELASTIC OSCILLATIONS IN A PLANE CHANNEL

Advanced-delay Differential Equation for Aeroelastic Oscillations in Physiology

This article analyzes a mathematical model for some aeroelastic oscillators in physiology, based on a previous representation for the vocal folds at phonation. The model characterizes the oscillation as superficial wave propagating through the tissues in the direction of the flow, and consists of a functional differential equation with advanced and delay arguments. The analysis shows that the o...

Oscillations of a Fluid in a Channel

The Stability of Limit-Cycle Oscillations in a Nonlinear Aeroelastic System

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Control of Limit Cycle Oscillations of a Two-Dimensional Aeroelastic System

Linear and nonlinear static feedback controls are implemented on a nonlinear aeroelastic system that consists of a rigid airfoil supported by nonlinear springs in the pitch and plunge directions and subjected to nonlinear aerodynamic loads. The normal form is used to investigate the Hopf bifurcation that occurs as the freestream velocity is increased and to analytically predict the amplitude an...

A Discrete-Ordinates Solution for HeatTransfer in a Plane Channel

A recently established version of the discrete-ordinates method is used to develop a solution to a class of problems in the theory of rarefied-gas dynamics where temperature and density effects are coupled. In particular, accurate solutions for the temperature perturbation, the density perturbation, and the heat flux are developed and evaluated for the flow, described by the Bhatnagar, Gross, a...