Models of collisionless shock fronts.
Collisionless shock front generation between two interacting plasmas attributed to nonlinear wave interaction
COLLISIONLESS PLASMA↗
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Results for “Nonlinear waves”
Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.
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The interplanetary plasma and magnetic field.
Solar wind plasma and interplanetary magnetic field influence on propagation of nonlinear wave phenomena
PHOTOSPHERE↗
Periodic solutions of a class of hyperbolic equations containing a small parameter
Periodic solutions of class of hyperbolic equations containing small parameter - linear and nonlinear wave equations
HYPERBOLIC EQUATION↗
Cascade mechanism of nonlinear interactions between modes in a turbulent plasma
Cascade mechanism of closure associated with nonlinear wave interactions between modes in turbulent plasmas, using hydrodynamical model
Tchen, C. M.↗
Optical mixing in a magnetoactive plasma
Homogeneous plasma electrostatic oscillations excitation by electromagnetic waves nonlinear interaction in magnetic field, deriving expression for density perturbation
Weyl, G.↗
Nonlinear combustion instability in liquid- propellant rocket engines
Liquid propellant rocket engine combustion instabilities, describing unsteady combustor flow by single nonlinear wave equation with stable and unstable finite amplitude limit cycles
Powell, E. A.↗
A weak turbulence analysis of the two-stream instability
Weak turbulence analysis of Maxwellian plasma waves nonlinear interactions effects on two stream instability with Gaussian momentum distribution
Fung, P. C. W.↗
Dynamics of electromechanical flow structures.
Free-surface gravity flows and capillary wicking provide examples of flow structures with fluid partially ducted at free surfaces by external forces. Wall-less electromechanical flow structures are developed which have a similar nature, but with polarization forces providing the orientation at free surfaces. Like their mechanical counterparts, these have the ability to ingest liquid or expel vapor through their walls. The structures consist of electrodes running in the flow direction z with slowly varying cross sections in a plane transverse to the flow. A formulation is given of the long-wave nonlinear (principal mode) dynamics, with use made of energy functions to represent a broad class of possible mechanical and electrical structure geometries.
Jones, T. B., Jr.↗
The prediction of nonlinear three dimensional combustion instability in liquid rockets with conventional nozzles
An analytical technique is developed to solve nonlinear three-dimensional, transverse and axial combustion instability problems associated with liquid-propellant rocket motors. The Method of Weighted Residuals is used to determine the nonlinear stability characteristics of a cylindrical combustor with uniform injection of propellants at one end and a conventional DeLaval nozzle at the other end. Crocco's pressure sensitive time-lag model is used to describe the unsteady combustion process. The developed model predicts the transient behavior and nonlinear wave shapes as well as limit-cycle amplitudes and frequencies typical of unstable motor operation. The limit-cycle amplitude increases with increasing sensitivity of the combustion process to pressure oscillations. For transverse instabilities, calculated pressure waveforms exhibit sharp peaks and shallow minima, and the frequency of oscillation is within a few percent of the pure acoustic mode frequency. For axial instabilities, the theory predicts a steep-fronted wave moving back and forth along the combustor.
Powell, E. A.↗
On the interpretation of the observed cometary scintillations
A previous interpretation of strong fluctuations in the intensity of a radio source observed during its occultation by the plasma tail and head of Comet Kohoutek a few days after the latter's perihelion passage is examined to explain the consequence of this interpretation that plasma irregularities moved toward the cometary nucleus with speeds of between 66 and 94 km/sec. It is shown that this reversed velocity may be associated with a nonlinear wave coupled to the turbulent plasma and propagating toward the nucleus with a typical Alfven speed. The reported abrupt cessation of the radio intensity fluctuations at a distance of 80,000 km from the nucleus is shown to be due to a rather abrupt change in the plasma density.
Ip, W.-H.↗
Anomalous resistivity resulting from electrostatic ion cyclotron turbulence
The paper considers the generation of electrostatic ion cyclotron turbulence in an isothermal isotropic magnetized plasma where the drift velocity is below that of the ion-acoustic threshold. The saturated turbulence spectrum is found to be that which results from anomalous nonlinear wave damping related to stochastic ion-orbit diffusion in configuration space. An expression is obtained for the collective electrical resistivity resulting from current-driven electrostatic ion cyclotron turbulence.
Ionson, J. A.↗
Interplanetary disturbances in the solar wind produced by density, temperature, or velocity pulses at 0.08 AU
Time-dependent solutions of a one-fluid model of the interplanetary medium are investigated. This set of unsteady hydrodynamic equations has been written in conserved form in order to apply the Lax-Wendroff (1960) method for the solution of this problem. The initial disturbance is specified by a pulse at 0.08 AU. Physically, this pulse can be interpreted as having been caused by a solar flare, surge, or any other solar disturbance. The equilibrium condition is determined to be the steady solution of the governing equations and represents the quiet solar wind. Results are presented in terms of density, temperature, and velocity profiles of the interplanetary gas flow at heliocentric distances up to 6 AU at several times. Also, the trajectories of disturbances for various initial pulses are shown. Some June 1972 interplanetary observational data are compared with these theoretical calculations. On the basis of these results, the effects of solar disturbances on the interplanetary environment (such as the generation of large nonlinear wave trains in the shock wakes) can be inferred.
Wu, S. T.↗
Ponderomotive force in a warm two-fluid plasma
A general expression for the ponderomotive force of electromagnetic field with slowly varying amplitude in a warm plasma is obtained in the collisionless two-fluid model. Compared to the existing expression obtained for a cold and stationary plasma, this result contains two additional terms for the general case. One of them is involved with the density gradient and the wavenumber derivative of the dielectric tensor of a plasma. Thus, for an inhomogeneous plasma, it accounts for the effects of spatial dispersion, hence of finite temperature of the plasma. The other term is proportional to the time derivative of the density and the frequency derivative of the dielectric tensor, and is nonzero unless the plasma is stationary or nondispersive. Inclusion of these new terms in the ponderomotive force will enable self-consistent analysis of the general behavior of nonlinear waves with finite wavelengths in a warm plasma.
Lee, N. C.↗
A linear analysis of the transition curve for the baroclinic annulus
A primitive equation linear model is shown to be capable of quantitatively predicting the neutral curve for a baroclinic annulus. Flows unstable to small nonaxisymmetric perturbations are assumed to lie on the nonaxisymmetric side of a transition curve, while the stable flows are on the axisymmetric side. The stability in the presence of perturbations is tested with linearized hydrostatic primitive equations. Attention is given to the fastest growing eigenmodes, demonstrating that the linear and nonlinear wave have similar structures at a particular point in the nonaxisymmetric regime. All the waves are similar to the Eddy wave except at the extreme to the transition curve, where the waves maintain little structure with height. The eddy kinetic energy is baroclinic with a potential energy suppresed by the large static stability of the basic state. Eddy dissipation is noted to be significant near all boundaries.
Miller, T. L.↗
Nonlinear mode coupling theory of the lower-hybrid-drift instability
A nonlinear mode coupling theory of the lower-hybrid-drift instability is presented. A two-dimensional nonlinear wave equation is derived which describes lower-hybrid drift wave turbulence in the plane transverse to B (k.B = 0), and which is valid for finite beta, collisional and collisionless plasmas. The instability saturates by transferring energy from growing, long wavelength modes to damped, short wavelength modes. Detailed numerical results are presented which compare favorably to both recent computer simulations and experimental observations. Applications of this theory to space plasmas, the earth's magnetotail and the equatorial F region ionosphere, are discussed. Previously announced in STAR as N84-17734
Drake, J. F.↗
Density and pressure variability in the mesosphere and thermosphere
In an effort to isolate the essential physics of the mesosphere and the thermosphere, a steady one-dimensional density and pressure model has been developed in support of related NASA activities, i.e., projects such as the AOTV and the Space Station. The model incorporates a zeroth order basic state including both the three-dimensional wind field and its associated shear structure, etc. A first order wave field is also incorporated in period bands ranging from about one second to one day. Both basic state and perturbation quantities satsify the combined constraints of mass, linear momentum and energy conservation on the midlatitude beta plane. A numerical (iterative) technique is used to solve for the vertical wind which is coupled to the density and pressure fields. The temperature structure from 1 to 1000 km and the lower boundary conditions are specified using the U.S. Standard Atmosphere 1976. Vertical winds are initialized at the top of the Planetary Boundary Layer using Ekman pumping values over flat terrain. The model also allows for the generation of waves during the geostrophic adjustment process and incorporates wave nonlinearity effects.
Davis, T. M.↗
Transition region, corona, and solar wind in coronal holes
The formation of wind-driven solar model based on a new hypothesis for nonlinear wave dissipation is described. The equations and solutions used to derive the model are examined. The corona and solar wind are analyzed. The model is applied to observations and it is detected that it displays the proper steep temperature rise to a maximum coronal temperature in excess of 10 to the 6th K, a solar wind flux in excess of 3.5 x 10 to the 8th/sq cm per sec at 1 AU, and nonthermal velocities are observed at the bases of coronal holes; however, the model does not produce enough detail.
Hollweg, J. V.↗
Active stability augmentation of large space structures: A stochastic control problem
A problem in SCOLE is that of slewing an offset antenna on a long flexible beam-like truss attached to the space shuttle, with rather stringent pointing accuracy requirements. The relevant methodology aspects in robust feedback-control design for stability augmentation of the beam using on-board sensors is examined. It is framed as a stochastic control problem, boundary control of a distributed parameter system described by partial differential equations. While the framework is mathematical, the emphasis is still on an engineering solution. An abstract mathematical formulation is developed as a nonlinear wave equation in a Hilbert space. That the system is controllable is shown and a feedback control law that is robust in the sense that it does not require quantitative knowledge of system parameters is developed. The stochastic control problem that arises in instrumenting this law using appropriate sensors is treated. Using an engineering first approximation which is valid for small damping, formulas for optimal choice of the control gain are developed.
Balakrishnan, A. V.↗