Engineering Papers⌕ Search

Engineering topics

Lerche, I.

Publications and source records attributed to Lerche, I..

At least 37 records · Page 2
All sourcesNASA NTRSDOE OSTI
NASA NTRS1980

The effect of convection on the propagation of relativistic galactic electrons

The paper presents exact analytical solutions which describe steady-state transport of relativistic electrons subject to diffusion, convection, and radiation losses. The diffusion coefficient is spatially and energy dependent; the bulk convection velocity is considered to be constant and directed outward from the galactic plane. The electron spectral behavior with respect to galactic height and energy indicates that convection provides a 'break' in the steady-state energy spectrum without recourse to distribution of sources. Radio observations of NGC 891 and NGC 4631 galaxies can be used to estimate their diffusion coefficient and its energy dependence. Application of analytical solutions to our Galaxy indicates that the diffusion coefficient and outflow velocity deduced from relativistic electron measurements and radio observations of their synchrotron radiation agree with values based on the transport of the cosmic ray nucleonic component.

Lerche, I.↗
NASA NTRS1980

On self-consistent waves and their stability in warm plasmas. II - Instability of circularly polarized waves both in the presence and the absence of an ambient magnetic field

The stability of a self-consistent, large-amplitude, circularly polarized wave in a warm plasma is investigated. For perturbations to the system propagating normal to the plane of circular polarization, a dispersion relation is derived employing an expansion in the nonlinear wave amplitude and the momentum of the plasma particles in the plane of polarization. Instability results both in the absence and presence of a large-scale magnetic field with a growth rate of the order of the nonlinear wave amplitude.

Lee, M. A.↗
NASA NTRS1980

Binary model of Circinus X-1. I - Eccentricity from combined X-ray and radio observations

A binary star model is used to account for the 16.59-d flaring behavior of the X-ray emission from Circinus X-1. The orbital eccentricity of 0.8 + or - 0.1 is derived from the X-ray light curve by assuming that the sharp X-ray cut-off every 16.59-d is a result of bound-free absorption in the primary star's stellar wind. The shape of the light curve has changed over the last eight years, and this is interpreted as due to orbital precession of the binary system. Simultaneous radio and X-ray observations of the flare from Circinus X-1 on February 1-5, 1978 are reported. These are accounted for within the framework of the model. The radio observations at 5 GHz are used independently to derive a high value of the orbital eccentricity (e = 0.7).

Murdin, P.↗
NASA NTRS1980

The heating of a thermally conducting stratified medium. I - Self-gravitating gas threaded by magnetic fields

Two theoretical problems are presented to illustrate the equilibrium structure of a gravitating gas threaded by magnetic fields. The gas is heated everywhere at a rate proportional to the local density and cooled by thermal conduction channeled along the magnetic field. Emphasis is placed on the influence of anisotropic thermal conduction on the distribution of the gas. In the first problem, the magnetic field has straight field lines that are nearly parallel. The simple field line geometry allows us to calculate, in closed form, the equilibria configurations of a gas slab which is cooled nonuniformly by thermal conduction along field lines which leave the gas slab at varying angles. The problem involves the gas having a free boundary, which is one of the unknowns to be determined. A discussion is given of the set of all possible equilibria so constructed. In the second problem there is no electric current flowing in the gas but there is a potential magnetic field having curved field lines. Exact solutions of equilibriums are presented to illustrate the heating of stellar and galactic coronas.

Lerche, I.↗
NASA NTRS1980

Analytic solutions for single and multiple cylinders of gravitating polytropes in magnetostatic equilibrium

Exact analytic solutions for the static equilibrium of a gravitating plasma polytrope in the presence of magnetic fields are presented. The means of generating various equilibrium configurations to illustrate directly the complex physical relationships between pressure, magnetic fields, and gravity in self-gravitating systems is demonstrated. One of the solutions is used to model interstellar clouds suspended by magnetic fields against the galactic gravity such as may be formed by the Parker (1966) instability. It is concluded that the pinching effect of closed loops of magnetic fields in the clouds may be a dominant agent in further collapsing the clouds following their formation.

Lerche, I.↗
NASA NTRS1980

Cylindrical prominences and the magnetic influence of the photospheric boundary

The paper constructs exact, nonlinear solutions for a horizontal, cylindrical, current-carrying prominence supported against solar gravity by the Lorentz force. The solutions incorporate the photosphere boundary condition, proposed by van Tend and Kuperus (1978), who analyzed it for line filaments. The solutions have a finite radius for the prominence material and satisfy the equations of magnetostatic equilibrium, and allow for the continuity of gas pressure and of the normal and tangential components of magnetic field across the circular prominence boundary. It is shown that an infinity of solutions is possible; a method is presented for constructing equilibrium fields for any horizontal prominence with arbitrary cross-section and with an arbitrary external magnetic field.

Lerche, I.↗
NASA NTRS1980

Self-similar solutions and their stability for the flow of relativistic fluids through channels

The paper analyzes the flow of a perfect relativistic fluid in a circular confining channel of variable cross-section, a situation which is currently thought to be relevant for models of beams protruding from radio galaxies. Families of self-similar solutions are found, and some of their topological characteristics are illustrated. However, a perturbative investigation of the solutions indicates that all such self-similar modes are unstable and would eventually evolve into some non-self-similar form.

Lerche, I.↗
NASA NTRS1980

Soliton solutions and their stability for the flow of relativistic fluids through channels

The flow of a perfect relativistic fluid through channels of various cross-sections is considered with reference to models of radio galaxies. Soliton-like solutions are found and their topologies are discussed. The calculations show that these solutions are unstable. It is suggested that under realistic astrophysical conditions the growth rate of the instabilities is so slow that soliton-type blobs may persist for a significant time.

Lerche, I.↗
NASA NTRS1979

Some calculations bearing on the heating and cooling of quiescent prominences

The evolution of heat along and perpendicular to magnetic fields threading quiescent prominences is discussed. It was shown that while heating of prominence material can occur on a time scale of the order of 1000's, individual flux tubes are effectively thermally insulated from neighboring tubes, since the transverse heat conduction time scale is of the order of 10000 per year. The exact solution to the one-dimensional parallel heat conduction problem is shown to differ significantly from the approximate solution of Ioshpa (1965). It was suggested that uneven heating of a quiescent prominence by the surrounding solar corona may contribute to surges and/or the 'winking' phenomenon recorded in many quiescent prominences. The signature of such a temperature pulse would be a sharp brightening of continuum radiation with a correlated decrease in the free-bound emission, followed by a slow recovery of both to their pre-heat pulse levels.

Lerche, I.↗
NASA NTRS1979

On the passage of radiation through inhomogeneous, moving media. XIV - Poynting's theorem revisited

Certain arguments by Ko and Chuang (1979) against Lerche's (1975) interpretation of Poynting's theorem for a moving medium with linear constitutive relations are rebutted. It is argued that the contentions of Ko and Chuang are misleading, at the very least, and devoid of original information. Ko and Chuang's ascription of the physical role played by various terms in Poynting's theorem are shown to be subjective and nonunique. It is concluded that the energy and momentum of an electromagnetic field can indeed be partitioned in an essentially arbitrary manner.

Lerche, I.↗
NASA NTRS1979

On self-consistent waves and their stability in warm plasma. I - Construction of the self-consistent waves

Clemmow's (1974) work is extended to include the case of large-amplitude self-consistent waves in warm plasmas both with and without a constant embedded magnetic field. Attention is given to determining the structure and basic properties of large-amplitude self-consistent waves in a warm plasma in the presence of a constant embedded magnetic field. It is shown that the class of large-amplitude self-consistent waves found by Clemmow for a cold plasma can be extended to allow for a thermal spread in the particles' motions. Some of the interesting variations and dependences of such waves with a constant embedded magnetic field are emphasized.

Lee, M. A.↗
NASA NTRS1978

On the stability of self-consistent large amplitude waves in a cold plasma. I - Transverse circularly polarized waves in the absence of a large scale magnetic field

It is demonstrated that a self-consistent circularly polarized wave in an otherwise field-free homogeneous cold plasma is unstable to small amplitude perturbations. For either an electron-positron plasma or an electron-proton plasma the instability rate is at least about the order of the effective plasma frequency when the bulk flow speed is zero. For finite bulk flow speeds of the plasma, it is shown that the electron-positron plasma is unstable, again with a growth rate of the order of the effective plasma frequency; it is also shown that the electron-proton plasma is unstable (at least at small wave numbers, k) with a growth rate proportional to k. The calculated instability rates are conservative, for other modes not investigated here may be more unstable. The results of these calculations bear directly on the understanding of plasma systems thought to be driven by large amplitude waves.

Lee, M. A.↗
NASA NTRS1978

Some astrophysical consequences of the existence of a heavy stable neutral lepton

It is suggested that a stable, massive, neutral lepton may dominate the present mass density in the universe. To investigate this assumption, attention is given to an analysis of extended gauge theories as they apply to a lepton with a mass of a few GeV/sq cm. A critical factor in the accuracy of the hypothesis is the actual mass of the lepton, and it is noted that the more massive the individual particle, the smaller the particle's aggregate contribution to the universal mass density. High energy accelerators could prove a useful tool in an empirical determination of the lepton's mass. It is further suggested that the lepton considered might provide the material in galactic halos, or supply the mass necessary to bind galactic clusters. A study of intergalactic annihilation radiation is expected to yield more data pertaining to the lepton's existence.

Gunn, J. E.↗
NASA NTRS1978

On phase and ray directions of magnetosonic waves

The behavior of phase speed for 'slow' and 'fast' magnetosonic waves is well documented in the literature. Not so well documented is the behavior of the ray direction and its relation to the phase direction - indeed the ray behavior recorded in most of the standard plasma physics texts has not been found. This situation is rectified, and some of the curiosities associated with the direction of the 'slow' ray relative to the direction of the 'slow' phase wave are indicated. These calculations have been performed as a necessary basis for discussion of phase and ray evolution of magnetosonic waves in differentially shearing plasmas.

Lerche, I.↗
NASA NTRS1978

Concerning isothermal self-similar blast waves. I - One-dimensional flow and its stability. II - Two-dimensional flow and its stability

One-dimensional self-similar isothermal flow behind a blast wave propagating in a medium whose density varies with distance is investigated for the cases of one-dimensional and two-dimensional flow. The isothermal flow model is adopted as an alternative to adiabatic models of self-similar flow, which neglect heat flux. The topology of the one-dimensional flow solutions, the singularities, and the influence of boundary conditions are discussed; the instability of the isothermal blast waves against nonself-similar perturbations is also considered. The number of critical points in the two-dimensional solutions is found to vary from the number in the one-dimensional problem.

Lerche, I.↗