The paper presents the theoretical basis for the simulation of active helicopter blades. The analysis of active helicopter blades is based on models for the structure, aerodynamics, actuation and sensing. For simulation and analysis purposes, the blade structural model is discretized in space using a Galerkin approach. The effect of the integral actuation enters the beam model via an active bea...

Unsteady two-dimensional stagnation point flow of an incompressible viscous fluid over a flat deformable sheet is studied when the flow is started impulsively from rest and the sheet is suddenly stretched in its own plane with a velocity proportional to the distance from the stagnation point. After a similarity transformation, the unsteady boundary layer equation is solved numerically using the...

We address the question of constructing simple inviscid vortex models that optimally approximate realistic flows as solutions of an inverse problem. Assuming the model to be incompressible, inviscid and stationary in the frame of reference moving with the vortex, the ‘structure’ of the vortex is uniquely characterized by the functional relation between the streamfunction and vorticity. It is de...

Extension of a solution adaptive grid method to hypersonic flows is presented. Fully unstructured triangular grids are generated in an automatic manner and further refined by adapting to the flow features. Two-dimensional inviscid flow is simulated by numerical solution of Euler equations. A cell-centered finitevolume scheme is used and the steady state solution is obtained using an explicit mu...

The goal of this study is to develop an efficient numerical algorithm applicable to a wide range of compressible multicomponent flows, including nearly incompressible low Mach number flows, flows with strong shocks, multicomponent flows with high density ratios and interfacial physics, inviscid and viscous flows, as well as flows featuring combinations of these phenomena and various interaction...

In present work, the time independent laminar flow of a viscous, incompressible fluid in two dimensions flow has been studied. The fluid had been allowed to flow in a channel with an obstruction which was a rectangular plate of definite dimensions. The flow of water had been considered to be steady with uniform incident velocity with various boundary conditions. The resulting NavierStokes equat...

In this two-parts paper, we present a systematic procedure to extend the known Hamiltonian model of ideal inviscid fluid flow on Riemannian manifolds in terms Lie–Poisson structures port-Hamiltonian Stokes-Dirac structures. The first novelty presented is inclusion non-zero energy exchange through, and within, spatial boundaries domain containing fluid. second that constructed as interconnection...

The purpose of this article is to survey results concerning the unstable spectrum of the Euler equation linearized about a steady state. The Euler equations of the motion of an inviscid, incompressible fluid are the basic equations of fluid mechanics and they have been the object of much study by mathematicians over the centuries since Euler ”unveiled” them in 1755. However, many significant pr...