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Hayes, W. D.

Publications and source records attributed to Hayes, W. D..

18 records
All sourcesNASA NTRSDOE OSTI
NASA NTRS1974

Conservation of wave action

It is pointed out that two basic principles appear in the theory of wave propagation, including the existence of a phase variable and a law governing the intensity, in terms of a conservation law. The concepts underlying such a conservation law are explored. The waves treated are conservative in the sense that they obey equations derivable from a variational principle applied to a Lagrangian functional. A discrete oscillating system is considered. The approach employed also permits in a natural way the definition of a local action density and flux in problems in which the waves are modal or general.

Hayes, W. D.↗
NASA NTRS1973

Group velocity and nonlinear dispersive wave propagation.

By the use of a Hamiltonian formulation, a basic group velocity is defined as the derivative of frequency with respect to wavenumber keeping action density constant, and is shown to represent an incremental action velocity in the general nonlinear case. The stability treatment of Whitham and Lighthill is extended to several dimensions. The water-wave analysis of Whitham (1967) is extended to two space dimensions, and is shown to predict oblique-mode instabilities for kh smaller than 1.36. A treatment of Lighthill's (1965) solution in the one-dimensional elliptic case resolves the problem of the energy distribution in the solution past the critical time.

Hayes, W. D.↗
NASA NTRS1972

Optimum configurations for bangless sonic booms.

A number of optimization problems are posed and solved for supersonic aircraft flight subject to the condition that a shock wave appears only incipiently in the sonic boom signal at a given point. The principal result is one giving the maximum effective gross weight of an aircraft of given effective length under given flight conditions. The calculus of variations with inequality constraints is used, with the novel features of a non-local isoperimetric relation and of only an upper bound on a control variable.

Hayes, W. D.↗
NASA NTRS1972

Sonic-boom propagation through a stratified atmosphere.

Theoretical approach to the problem of predicting the sonic-boom signature due to a maneuvering aircraft, with outline of the resulting calculation method. This method includes the effects of a variable, stratified atmosphere, and is based on geometric-acoustic principles. A nonlinear distortion is used to account for the weak shock field. The analytical results are compared with experimental data and excellent agreement was found, particularly with regard to signature length.

Hayes, W. D.↗
NASA NTRS1971

Sonic boom

Sonic boom phenomena, discussing supersonic flow near aircraft, atmospheric propagation, distortion, focusing, caustics, turbulence effects and reduction

Hayes, W. D.↗
NASA NTRS1970

Kinematic wave theory

Jacobian calculation in kinematic theory of wave propagation, using ray equation

Hayes, W. D.↗
NASA NTRS1969

Sonic boom propagation in stratified atmosphere

Comprehensive analysis and algorithm, realized in a computer program, provides realistic calculations for sonic boom signatures in the atmosphere. Algorithm includes maneuvering aircraft in a sonic boom pressure calculation, a ray-tube area calculation, and results in the form of complete signatures.

Haefeli, R. C.↗
NASA NTRS1969

Review of sonic boom theory

Sonic boom theory of geometric acoustics with nonlinear effects modification, emphasizing horizontally stratified atmospheric propagation, discussing failure near caustic

Hayes, W. D.↗