In this paper we prove existence, uniqueness and regularity of certain perturbed (subsonic–supersonic) transonic potential flows in a two-dimensional Riemannian manifold with “convergent–divergent” metric, which is an approximate model of the de Laval nozzle in aerodynamics. The result indicates that transonic flows obtained by quasi-one-dimensional flow model in fluid dynamics are stable with ...

The present work addresses a new technology development that can lead to drag reduction on supersonic aircraft by means of passive laminar flow control (LFC). Recent developments in the understanding of stability and transition in swept-wing flows in low-disturbance environments have offered the promise of controlling transition without the use of complicated systems. The principal control prob...

An inverse airfoil design process is presented that makes use of the CST parameterization method. The CST method is very powerful in that it can easily represent any airfoil shape within the entire design space of smooth airfoils. This makes it an ideal modeling technique for an inverse design process because accurate airfoil geometry treatment is required. The downfall of some inverse design p...

A. Preface and introductory remarks B. The equation of motion I. Kinematics and dynamics of fluid motion II. Energy and momentum transfer III. Transformation of coordinates IV. Variational principles C. Incompressible and barotropic perfect fluids I.Genera1 princip1es II.Irrotationa1 motion III.Rotationa1 motion D. Thermodynamics and the energy equation I. Thermodynamics of simple media II. The...

A new artificial boundary condition for 2D subsonic flows governed by the compressible Navier–Stokes equations is derived. It is based on the hyperbolic part of the equations, according to the way of propagation of the characteristic waves. A reference flow as well as a convection velocity are used to properly discretize the terms corresponding to the entering waves. Numerical tests on various ...

Due to the wide application of Delaware nozzle in many fields, flow characteristics subsonic-supersonic isentropic De-Laval are analyzed numerically. The can be simplified a quasi-one-dimensional problem. First, MacCormack format is employed discretize control equations conservative form. Then, results with and without artificial viscosity compared. Grid independence also discussed. show that n...