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- Proceedings of the Physico-Mathematical Society of Japan. 3rd Series
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Volume 51, Issue 12
Displaying 51-63 of 63 articles from this issue
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Kazuo Tokiwano, Kiyoshi Arakawa1982 Volume 51 Issue 12 Pages 4036-4043
Published: December 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSA computer experiment has been performed to investigate dynamical properties of a fluid system composed of 864 particles interacting through a modified Lennard-Jones-type potential. The velocity autocorrelation functions are computed and discussed in comparison with the Enskog predictions. The correlation functions are found to be very similar to those of the effective hard sphere fluids after the lapse of about 8 successive collisions. The slow power-law decaying behavior in the time correlation function is observed for a fluid composed of particles interacting with a harshly repulsive core and an attractive potential.View full abstractDownload PDF (1016K) -
Noboru Nakano, Tadashi Sekiguchi1982 Volume 51 Issue 12 Pages 4044-4052
Published: December 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSExperimental as well as computational studies have been performed on spontaneously generated magnetic-field and net absorbed laser energy bylaser-produced plasmas where one ruby-laser beam with relatively lower power level is focused onto one-side of an aluminum foil target with various thickness. It is found that these two physical quantities are experimentally in good correlation and the computational results based upon a simplified fluid-dynamic model explain this correlation.View full abstractDownload PDF (1240K) -
Akihiko Murakami, Yasuyuki Nomura, Hiromu Momota1982 Volume 51 Issue 12 Pages 4053-4060
Published: December 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSStochastic behavior of charged particles in finite amplitude plasma waves is studied by means of particle simulations under the condition that the perturbation scheme breaks down. The improved expression of resonances for the case of a large perturbation is introduced. Then the growing process of the stochastic region is examined and accordingly the width of the stochastic region is discussed. As a result, the origin of inapplicability of the perturbation scheme to this case is clarified. The validity of Chirikov’s criterion is also ascertained. Discussions on the effects of higher order resonances are also presented.View full abstractDownload PDF (908K) -
Akiyoshi Nagata1982 Volume 51 Issue 12 Pages 4061-4069
Published: December 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe plasma with maximum poloidal beta value βp (the ratio of the plasma pressure to the magnetic pressure of the toroidal plasma current) of 3.0 has been obtained in STP-2 by compression together with joule heating. In this case of βp=3.0 the plasma interacts strongly with wall. The maximum βp value without strong wall contacts was about 1.3. We observed that force-free current is formed in the periphery of the plasma and the penetration of the poloidal magnetic field is much faster than the classical one.
We have performed a numerical simulation using a 2-D MHD pinch code “TOPICS” in order to understand this high-beta plasma equilibrium having βp=3.0 and the mechanism of fast field penetration observed in STP-2 plasmas. It is demonstrated that the fast field penetration and the observed electron temperatures can be explained by introducing the influx of neutral particles and the ion acoustic type anomalous resistivity.View full abstractDownload PDF (1052K) -
Lim Chee-Seng1982 Volume 51 Issue 12 Pages 4070-4078
Published: December 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe plasma-flow confinement of a cylindrical plasma jet is subjected to excitations by two azimuthally conducted current distributions, one immersed in each field-permeated plasma medium. Both flows are generally unequal but unidirectional; however, one or both of the plasma media may be stationary. A general approach is first made, followed by a specific case study wherein the confining plasma has the higher Alfvén speed and the difference between both Alfvén speeds exceeds, in magnitude, the difference between both flow speeds. If, additionally, both flows are either subAlfvénic or superAlfvénic, then the interface supports refracted and reflected dispersive waves; moreover, the permeating magnetic fields support non-dispersive flow-modified Alfvén waves, some of which also participate in reflection, while others constitute internal radiation. The steady state for time-independent currents is examined under different criteria. These admit stationary waves.View full abstractDownload PDF (1144K) -
R. W. Lardner1982 Volume 51 Issue 12 Pages 4079-4083
Published: December 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe method of multiple scales is used to investigate the nonlinear self-modulation of surface-capillary-gravity waves on a fluid of infinite depth. A uniformly valid perturbation solution is obtained through use of slow scales perpendicular to the free surface in addition to the usual slow distance and time scales.View full abstractDownload PDF (448K) -
Masayoshi Nakamura1982 Volume 51 Issue 12 Pages 4084-4090
Published: December 15, 1982
Released on J-STAGE: May 29, 2007
JOURNAL RESTRICTED ACCESSAn experiment is carried out on a transonic flow over an airfoil, which is partially modified from an arbitrary airfoil. The modification is made to satisfy the shockless condition predicted by the same author [Jour. Japan Soc. Aero. Space Sci. 26 (1978) 191]. Static pressures are measured at 88 points on the airfoil surface, when the Mach number at wind tunnel wall is 0.5∼0.8, the measuring angle of attack is 0°∼4° and the Reynolds number is 4.0∼4.6×106. A shockless transonic flow is observed under a measuring condition close to the design condition. The supersonic region extends from 0.4% to 63% of airfoil chord length and the local maximum Mach number is 1.36. The results support that shockless airfoils can be designed by partial modifications of an arbitrary airfoil.View full abstractDownload PDF (752K) -
Kazu-hiro Iino, Yoshi-Hiko Ichikawa1982 Volume 51 Issue 12 Pages 4091-4094
Published: December 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe algorithm of Chen, Lee and Liu enables us to construct alternative Lax-pair operators for the Korteweg-de Vries equation and the modified Korteweg-de Vries equation. These Lax-pair operators stand as the Lax-pair operators for the squared eigenfunction and the sum of squared eigenfunctions of the Ablowitz-Kaup-Newell-Segur inverse scattering transformation for these celebrated non-linear evolution equations. Present analysis completes series of our analysis showing that the integro-differential type of Lax-pair operators derived by Chen, Lee and Liu are closely related to the Lax-pair operators for the known schemes of the inverse scattering transformation.View full abstractDownload PDF (416K) -
Noriyoshi Dohara1982 Volume 51 Issue 12 Pages 4095-4103
Published: December 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe velocity field around a solid sphere, performing harmonic oscillations in an unbounded viscous fluid otherwise at rest, is exactly determined to the second order for small values of the Reynolds number. The streamline pattern of the steady streaming and the resultant instantaneous streamlines of the complete flow are shown. The drag exerted on the surface of the sphere is also evaluated.View full abstractDownload PDF (716K) -
N. Riahi1982 Volume 51 Issue 12 Pages 4104-4107
Published: December 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSStability of the two-dimensional convection rolls in a horizontal layer with nearly insulating boundaries is investigated. For the Prandtl number P in the range P<<β1⁄3<<1 (β is the ratio between the thermal conductivities of the boundary and of the fluid) stability criteria for α≠αc (αc being the critical wave number α which minimizes the Rayleigh number R) are found which determine the region of the stable rolls in the (R, α) parameter space.View full abstractDownload PDF (472K) -
Kimiaki Konno, Alan Jeffrey1982 Volume 51 Issue 12 Pages 4108-4115
Published: December 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSA nonlinear shallow water theory is developed on the basis of the reductive perturbation method. It is then used to examine cnoidal wave solutions up to the second order approximation. The propagation velocity of a wave is uniquely determined by means of the compatibility condition, the secular-free condition, and the two physical integral constants associated with the motion. Mass transport velocities are calculated and the results are compared with experimental values published elsewhere.View full abstractDownload PDF (784K) -
Etsuro Date, Michio Jinbo, Tetsuji Miwa1982 Volume 51 Issue 12 Pages 4116-4124
Published: December 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSA general method of discretizing soliton equations is presented, which preserves exact integrability and the transformation group of solutions. The procedure is described by taking an example of the Heisenberg Ferromagnet equation St=S×Sxx, S2=1. Its difference-difference analogue and the associated linear problem are obtained as well as soliton solutions. As a basic tool, bilinear identities for τ functions and wave functions are worked out for a reduction of the 2-component KP hierarchy.View full abstractDownload PDF (792K) -
Etsuro Date, Michio Jinbo, Tetsuji Miwa1982 Volume 51 Issue 12 Pages 4125-4131
Published: December 15, 1982
Released on J-STAGE: June 01, 2007
JOURNAL RESTRICTED ACCESSThe investigation on the discretization of soliton equations is continued. Discrete and continuous time evolutions are introduced for the single-component Kadomtsev-Petviashvili hierarchy. Bilinear identities, which are equivalent to a hierarchy of linear or bilinear equations, are given. Several explicit examples are worked out.View full abstractDownload PDF (556K)