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S. S. Bhati, A. K. Bhardwaj, Nirmal Singh, P. C. Mangal, P. N. Trehan
1973 Volume 34 Issue 1 Pages
1-4
Published: January 05, 1973
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Gamma-gamma directional correlation studies have been carried out for 740–181, 740–(41)–140, 140–41 and 740–41 keV cascades in
99Tc observed in the radioactive decay of
99Mo. These investigations confirm 3/2
+ spin assignment for 921 keV level. The mixing ratios of 740, 140 and 41 keV gamma rays are found to be predominantly
E2+<1%
M1, 95%
M1+(5±1)%
E2 and predominantly
M1+(0.7
−0.4+0.5)%
E2 respectively.
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Takashi Fujisawa, Shuhei Yamaji, Kazuhisa Matsuda, Shoshichi Motonaga, ...
1973 Volume 34 Issue 1 Pages
5-13
Published: January 05, 1973
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The measurements were made at angles of the center of mass extending from 14° to 128° or 172°. The yield of inelastic scattering at most angles was of the same order in the elastic scattering. A Thomas type spin-orbit coupling of the optical potential is useful for the elastic scattering at backward angles. Discrete and continuous ambiguities in the optical model parameters appeared in the analysis.
The experimental values of inelastic scattering were predicted fairly well by the DWBA theory, and the deformation parameters β
2 were about 0.5. In the coupled channel analysis, the predicted values of elastic scattering were much different from the results of optical model analyses by coupling to the inelastic channel, and the potential whose imaginary part was shallower than that given by the optical model analysis gave better fit. The value of β must be −0.5 for 39.6 and 34.7 MeV.
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Takashi Miyachi, Yoshio Akino, Kazuo Gomi, Asao Kusumegi, Masanori Mis ...
1973 Volume 34 Issue 1 Pages
14-17
Published: January 05, 1973
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The total absorption cross sections of photons in copper, silver, tin, tantalum, tungsten and lead have been studied for photon energies at 450, 700 and 1000 MeV. A comparison is made between experimental and theoretical cross sections. The Hartree-Fock-Slater cross section agrees with experimental results with an accuracy of the order of 1%.
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Morikazu Toda, Miki Wadati
1973 Volume 34 Issue 1 Pages
18-25
Published: January 05, 1973
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Relations between a nonlinear (exponential) lattice, the Boussinesq equation and the Korteweg-de Vries equation are clarified and therefrom the exact solutions for the two-soliton state are given in each case for both the head-on and the overtaking collisions.
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Masatoshi Ono
1973 Volume 34 Issue 1 Pages
26-35
Published: January 05, 1973
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The phonon dispersion curves along the direction (100), (110) and (111) are calculated for bcc lithium metal from first principles, upon the basis of the modified Hartree-Fock equation and Harrison’s method of nonlocal pseudopotential. Calculated phonon dispersion curves are in good agreement with experiment.
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Takeo Fujiwara
1973 Volume 34 Issue 1 Pages
36-43
Published: January 05, 1973
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Jahn-Teller effects in
4T1g+
4T1g excited ion pair in RbMnF
3 are studied under the assumption of the
A1g- and
Eg-distortion. General expressions of the Jahn-Teller energy and the exciton-exciton interaction energy due to the lattice distortions are derived and examined in detail by using a simple lattice model.
A positive large value of the exciton-exciton interaction energy is obtained for the lowest energy two-exciton state for certain mixing ratio of the two types of distortions, though it seems difficult at present to explain the large value observed experimentally (S. E. Stokowski, D. D. Sell and H. J. Guggenheim: Phys. Rev. B
4 (1971) 3141) by the simple model adopted here.
The shape and the peak position of the two-exciton phonon sideband are discussed briefly.
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Makoto A. Kanehisa, Hiroshi Kamimura
1973 Volume 34 Issue 1 Pages
44-50
Published: January 05, 1973
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To investigate the effects of electron correlation in narrow energy bands, a general formula of static spin susceptibility for interacting electron systems is derived. It is expressed in terms of the one-particle Green’s function and its derivative with respect to the average number of the opposite spin electrons, the existence of the latter being the characteristic of electron correlation. The formula is applied to the case of Hubbard’s improved approximation (Hubbard III), and gross feature of both the correlation and temperature dependences of the susceptibility is investigated in the insulating and metallic regions. The correlation in the metallic region is reduced for the Hubbard III case so that there occurs no ferromagnetism in a half-filled band.
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Hiroshi Yamada, Satoshi Takada
1973 Volume 34 Issue 1 Pages
51-57
Published: January 05, 1973
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A simple expression for the magnetoresistance of the antiferromagnetic metals due to the electron-spin scattering by the
s-
d interaction is obtained using the molecular field approximation for the spin system. The expression includes the ferromagnetic case. It is shown that in the antiferromagnetic case the positive magnetoresistance appears below the transition point, in contrast to the negative-magnetoresistance in the case of the para or ferromagnetic case. In the ferromagnetic case the negative magnetoresistance shows a deep and finite valley at the transition point, which is consistant with the experiments of the ferromagnetic rare-earth metals such as Gd and Tb.
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Tsutomu Yashiro, Yasuo Yamaguchi, Shoichi Tomiyoshi, Noriaki Kazama, H ...
1973 Volume 34 Issue 1 Pages
58-62
Published: January 05, 1973
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The magnetic structure of the NiAs-type intermetallic compound, Fe
1+δSb, with 0.08\lesssimδ\lesssim0.64 was determined by means of neutron diffraction. Below the Néel point (105 K), magnetic superstructure lines corresponding to the triangular spin arrangement in the basal plane of hexagonal lattice are observed. The temperature dependence of the intensity of the magnetic superstructure lines was studied in the temperature range from 10 K to 117 K, and the temperature dependence of the Fe atomic moment can be fitted to the Brillouin function of spin 1/2. The moment of the normal site Fe atom is estimated to be 0.88±0.05μ
B at 10 K.
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Mitsuo Kasaya, Tadamiki Hihara, Yoshitaka Koi
1973 Volume 34 Issue 1 Pages
63-67
Published: January 05, 1973
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Measurements of hyperfine field and quadrupole coupling of Co
59 have been made on the intermetallic compound Co
2B. A large anisotropy in the hyperfine field is observed. The hyperfine fields along the local orthorhombic axes (
x,
y, and
z) of the Co sites are −53.7 kOe, −83.1 kOe, and −123.6 kOe, respectively, where the
z axis is the two-fold axis which lies along the tetragonal 〈110〉 direction. The electric field gradients, |
qxx|, |
qyy|, and |
qzz|, are 1.43×10
24 cm
−3, 0.08×10
24 cm
−3, and 1.47×10
24 cm
−3, respectively. The charge distribution compatible with the observed electric field gradients suggests that the electronic states near the top of the band have a character of ψ=α(3
z2−
r2)+β(
x2−
y2).
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Toshihiro Arai, Moriaki Wakaki, Seinosuke Onari, Keiei Kudo, Takehiko ...
1973 Volume 34 Issue 1 Pages
68-73
Published: January 05, 1973
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The optical absorption spectra of HgCr
2Se
4 single crystals in the intrinsic transition region were measured as a function of magnetic field at a number of fixed temperatures. The absorption edge, 0.80 eV, at room temperature shifted to 0.27 eV at liquid helium temperature. The temperature dependence of the absorption edge was nonlinear and remarkable around the Curie temperature. The absorption edge also shifts to the lower energy side with the increasing magnetic field. The field dependence of the edge shift in weaker magnetic field was larger at the Curie temperature than it in the higher temperature region. The temperature and magnetic field dependence of the absorption edge was compared to a calculated spin correlation function in spinels with the nearest neighbour exchange interaction between localized Cr
+3 ions. Other kind of exchange interaction would be required to explain the temperature dependence of the absorption edge.
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Seishi Ishikawa, Shoichiro Koide
1973 Volume 34 Issue 1 Pages
74-78
Published: January 05, 1973
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A model is proposed for the transfer of magnetic excitations between antiparallel spin sites. Formulation is made for the
4A
2g→
2E
g transition of Cr
3+(
dε
3) ions in antiferromagnetic crystals. Since the spin component is not conserved in the transfer, the mechanism is attributed to the second order effect of the spin-orbit interaction similar to the anisotropic super-exchange interaction derived by Moriya. It is shown that the model gives the correct order of magnitude for the transfer matrix elements. Unfortunately, angular dependence of the transfer matrix elements characteristic to the present model does not agree with the experimental results obtained so far.
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Akihiro Moritani, Kenji Taniguchi, Chihiro Hamaguchi, Junkichi Nakai
1973 Volume 34 Issue 1 Pages
79-88
Published: January 05, 1973
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The electroreflectance of Cd
xHg
1−xTe alloys for
x from 0 to 0.70 and for
x=0.97 and
x=1 was measured by the electrolyte technique in the range of photon energy 0.5 to 6 eV at room temperature. The
E0+
Δ0,
E1,
E1+
Δ1 and
E0′ transitions were investigated as a function of alloy composition. The transition energies at critical points show quadratic dependence on the alloy composition. The deviations from linearity are interpreted by using the dielectric two band method. The spin-orbit splitting
Δ0 at
k=0 for HgTe was measured directly as 1.08±0.02 eV at room temperature.
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Yukio Suezaki
1973 Volume 34 Issue 1 Pages
89-94
Published: January 05, 1973
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The conduction mechanism of the crystals of tetracyanoquinodimethan (TCNQ) anion radical salts is studied. Unpaired π-electrons in TCNQ
− anions are described by the Hubbard model with a narrow band and one electron per molecular site. The electronic spectra of the Hubbard model are determined by the Hubbard’s third solution. The value of the electrical conductivity of TEA(TCNQ)
2 at 23°C agrees with experimental values quantitatively.
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Hiroaki Sasaki, Goro Kuwabara
1973 Volume 34 Issue 1 Pages
95-102
Published: January 05, 1973
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A high resolution magneto-optical study is made on Cu
2O in the yellow exciton (
n≥3) and oscillatory region of the spectrum at magnetic fields up to 160 kOe. The shift and splitting of each exciton line observed in the presence of the field are explained primarily in terms of diamagnetic effects on the odd parity levels of a free hydrogen atom. The degeneracy of the
p and
f levels with same
n is lifted in the absence of the field. The magneto-oscillatory spectrum consists of broad main lines accompanied with sharp lines on the higher energy side, which arise from the relative motion within an electron-hole pair. The reduced effective mass for this motion is obtained from the magneto-oscillatory spectrum as 0.38 m. The effective
g value for the diamagnetic effect is 0.73 in the exciton as well as in the oscillatory region.
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Eiichi Kuramoto, Shin Takeuchi, Masayasu Noguchi, Toshinobu Chiba, Nob ...
1973 Volume 34 Issue 1 Pages
103-107
Published: January 05, 1973
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Positron lifetime measurements have been performed in plastically bent
n-type GaAs single crystals in which either Ga- or As-dislocations were introduced. τ
1 and
I1 were decreased by deformation, while
I2 was increased. Following the trapping model, the trapping rates were deduced experimentally, which in turn gave the cross widths of the Ga- and As-dislocations as 2.2×10
2Å and 2.9×10
2Å, respectively. In terms of Read’s model for the electric charge of the dislocation in semiconductors, the fractions of the dangling bonds occupied by electrons for the Ga- and As-dislocation were obtained as 0.65 and 0.75, respectively.
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Kiyoshi Tanaka, Masaki Shinada
1973 Volume 34 Issue 1 Pages
108-120
Published: January 05, 1973
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The optical spectrum of a hydrogen-like exciton in a static uniform magnetic field is studied theoretically on the basis of the adiabatic approximation as a sequel of our series of study. The emphasis of this paper is put on the isotropic excitons rather than anisotropic ones. In §1 and §2 the formulations are given for the hydrogen-like excitons in the magnetic field and the adiabatic approximation, respectively. The results of the calculation are given for the adiabatic potentials, energy levels and optical absorption intensities for
m=0 and |
m|=1 states for some lower values of
n. A way of overcoming the adiabatic approximation will be suggested on the basis of Born’s method. It may, however, be difficult to carry out the calculation and the problem is left untouched. Direct comparison with experiment will not be tried in this paper. A qualitative comparison was attempted in another paper.
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Kêitsiro Aizu
1973 Volume 34 Issue 1 Pages
121-128
Published: January 05, 1973
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The ferroic state shifts higher by one order than the ferroelectric state shifts and the ferroelastic ones are considered. (Nonmagnetism is assumed.) The styles and directions of mechanical, electrical or combined forces effective on these second-order state shifts are expounded with simple examples. The orders of magnitude of the “coercive forces” for these state shifts are estimated. The optical discernibility between domains connected by such a state shift is discussed.
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R.M. Stern, Yoshi-Hiko Ohtsuki
1973 Volume 34 Issue 1 Pages
129-133
Published: January 05, 1973
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The effect of absorption, as defined by a finite mean free path for the primary electron beam, is discussed in terms of the optical potential. The additional dispersion is found to be important in self consistent calculation of the damping in regions where the absorption is dependent on the magnitude of the wavevector, or where the diffracted plane were travels nearly parallel to the surface such as in surface state resonances.
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Jai Prakash
1973 Volume 34 Issue 1 Pages
134-137
Published: January 05, 1973
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The validity and limitations of the method suggested by Gopala Krishna for determining the dielectric relaxation time of a polar solute in a nonpolar solvent is discussed. It has been observed that it can be applied only to spherical molecules having single relaxation time and with the small value of the optical dielectric constant slope. An improved equation gives the value of the relaxation time in agreement to those obtained by using conventional Cole-Cole plot. The latter method, also applicable only to spherical molecules, uses the measurements of dielectric constant and dielectric loss at a single microwave frequency in conjugation with the optical dielectric constant value of different dilute solutions.
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Katsunori Iio
1973 Volume 34 Issue 1 Pages
138-147
Published: January 05, 1973
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The nonlinear susceptibility describing second harmonic generation in ferroelectric NaNO
2 at fundamental wavelength 1.153μm was measured with a continuous wave He–Ne laser by a phase matching technique. An ambiguity in choice of signs of effective nonlinear coefficients measured leads to four sets of tensor components and |
d16|=|
d21|=(0.174±0.049)
d36(KDP) and |
d23|=|
d34|=(3.367±0.012)
d36(KDP) are chosen on the basis of the Miller law. The signs of
d21(=
d16) and
d23(=
d34) are opposite. The nonlinear polarizability of a nitrite ion was found to be |β
16(NO
2−)|=|β
21(NO
2−)|=(0.39±0.11)·10
−23 cm
3d36(KDP), |β
23(NO
2−)|=|β
34(NO
2−)|=(6.40±0.23)·10
−23 cm
3d36(KDP), and |β
22(NO
2−)|=(0.56±0.14)·10
−23 cm
3d36(KDP). The anisotropy of the linear and nonlinear susceptibility is ascribed to a π-electron system within the nitrite ion.
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Tadao Tonuma, Isao Kohno, Yoshitoshi Miyazawa, Fusako Yoshida, Takashi ...
1973 Volume 34 Issue 1 Pages
148-155
Published: January 05, 1973
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The electron loss and capture cross sections of carbon (σ
45, σ
56, σ
65) and of nitrogen ions (σ
45, σ
56, σ
67, σ
76) in H
2, He, N
2, Ne, Ar, Kr and Xe gases were measured at energies of 3.5 to 7.5 MeV/nucl. As the result, it has been found that cross sections for singly electron loss of those energetic heavy ions agree nearly with a formula given by N. Bohr and generalized by I.S. Dmitriev who derived the formula for electron loss in a free collision approximation through a classical treatment, and that from the relation between the electron loss cross sections and the atomic number of gaseous medium
Zmed, the shielding effect of target gas was observed obviously in the region of
Zmed\gtrsim10. Cross sections for electron capture could not fit to previous theories, but agreed well with the calculation derived by Urata and Watanabe recently using an impulse approximation.
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Hideo Suzuki, Toshiro Komatsu, Takeshi Kato
1973 Volume 34 Issue 1 Pages
156-165
Published: January 05, 1973
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Previous calculations on the π-electron system in retinal are refined in a more rigorous way. Firstly, the σ-π interaction indispensable to derive the bond alternation is semiempirically determined from the first principle. Secondly, the effect of a sufficient number of singly- and doubly-excited configurations are examined in CI calculation.
It is thus confirmed again that the wavelength of optical absorption maximum of retinal forming protonated Schiff-base binding is about 200 nm longer than that of retinal forming normal Schiff-base binding. The concept of partially-protonated Schiff-base binding of retinal, which is a phenomenological description of the previous theory for the interaction of retinal with opsin, is also formulated by introducing the degree (
x) of protonation, and the
x-dependences of the wavelengths and oscillator strengths of optical absorption are calculated.
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Seiji Tsurubuchi, Tsuruji Iwai, Tadao Horie
1973 Volume 34 Issue 1 Pages
166-171
Published: January 05, 1973
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The so-called “crossed-beam method” and “target-gas method” are applied to the same events of molecular collisions. It is shown that the former method gives reliable informations about the excitation functions for the OH band and the Balmer lines in dissociative and radiative collisions of H
2O with electrons, while the latter does not, at least, in the range of lower energies of incident electrons.
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S. K. Kor, Gulshan Rai, B. K. Singh
1973 Volume 34 Issue 1 Pages
172-175
Published: January 05, 1973
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Theoretical interpretation of the behaviour of ultrasonic absorption with pressure in
n-propanol and
n-butanol in the pressure range 1–5000 kg/cm
2 has been presented on the basis of the hole theory. A close agreement between experimental results and theoretical values of excess absorption, evaluated by taking the value of symmetry parameter to be 0.30 and 0.35 for
n-propanol and
n-butanol, respectively, is achieved on taking variation of hole volume with pressure to be exponential instead of being constant.
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Akiyosi Itakura, Toshisuke Tsuru, Yoshiharu Nakamura, Shoji Kojima
1973 Volume 34 Issue 1 Pages
176-180
Published: January 05, 1973
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A plasma oscillation excited due to beam plasma interaction forms sometimes a standing wave between electrodes. The oscillation is suppressed by modulating the beam with high frequency signal as previously reported. When the modulation is removed, the oscillation begins to grow. From displays of this phenomenon on an oscilloscope the growth rate is directly observed. Indirect method based on a van der Pol equation is also tried for the same oscillation. The results are compared with the theory.
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Masahiro Wakatani, Ryohei Itatani
1973 Volume 34 Issue 1 Pages
181-188
Published: January 05, 1973
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Transverse diffusion coefficients in a toroidal pinch are investigated for three regions of collision frequencies. The configuration of a toroidal pinch is characterized by a large poloidal magnetic field
BP comparable to a toroidal magnetic field
BT.
We calculated diffusion coefficients following the scheme of Galeev and Sagdeev.
In a toroidal pinch particles can be trapped in a local magnetic mirror formed by both a toroidal magnetic field and a poloidal magnetic field. Furthermore
BP\simeq
BT reduces the connection length of a toroidal pinch. Transverse diffusion coefficients including these effects are shown to be smaller than
DGS which is given by Galeev and Sagdeev. in the banana region
D⊥\simeq
DGS\sqrtδ⁄ε is obtained and in the plateau region
D⊥\simeq
DGS(δ
2⁄ε
2), where ε denotes an aspect ratio and a small parameter δ denotes the inhomogeneity of the toroidal magnetic field in the toroidal pinch. Here it is noted that a safety factor included in
D⊥ may be smaller than or comparable to unity. In the MHD region
D⊥ also includes a factor δ⁄ε.
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Toshisuke Tsuru, Akiyosi Itakura, Shoji Kojima
1973 Volume 34 Issue 1 Pages
189-192
Published: January 05, 1973
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An electron plasma wave of an axial mode and an ion acoustic wave of a radial mode were spontaneously excited in a beam-plasma system. By applying the density modulation to the beam at the frequency near to that of the electron plasma wave, the electron plasma wave and the ion acoustic wave faded out simultaneously. Suppression phenomenon of electron plasma wave is now well explained. Simultaneous suppression of the ion acoustic wave implies that this wave is originated from the electron plasma wave.
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Alexandre E. Pozwolski
1973 Volume 34 Issue 1 Pages
193-195
Published: January 05, 1973
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Propagation of waves in a medium homogeneous in space but with time-varying properties is considered. It is shown that this can result in compression of a signal and a gain in power. The signal becomes also frequency modulated. For nondispersive waves, such as acoustic waves, there is an increase in frequency, whereas for transverse electromagnetic waves the frequency is lowered for the particular scheme of propagation considered.
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Kiyoshi Yatsu, Shigeyuki Morimoto
1973 Volume 34 Issue 1 Pages
196-200
Published: January 05, 1973
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The behaviour of plasmas confined in a combined mirror-multipole magnetic field is studied experimentally. The magnetic field is formed by the combination of a mirror field and an octopole field produced by using internal conductors. Plasmas, produced either by microwave heating or by a rail gun, are stably confined with the confinement time of about 0.9 ms. Measurements of particle loss show that half of the plasma is lost in the radial direction and another half is lost to the ends. Fluctuations are observed near the boundary of the plasma but they do not appear to be an important source of the plasma loss.
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Kunizo Ohkubo, Shigetoshi Tanaka
1973 Volume 34 Issue 1 Pages
201-208
Published: January 05, 1973
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Experiments demonstrating that the satellite generation of a stable electrostatic wave in the presence of an electron density oscillation in a bounded plasma and that the satellite generation of the unstable plasma wave in a modulated electron beam-plasma system are described. The spatially periodic energy transfer among the satellite modes and the primary mode is observed, which results in an enhanced damping of the stable primary mode in the former case and a decrease in a growth rate of the unstable primary mode in the latter. These results are compared with the theoretical prediction derived by expanding the wave number in terms of fluctuating plasma parameters as well as by using the coupled mode equations.
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Toshitaka Idehara, Tsutomu Noda, Yoshio Ishida
1973 Volume 34 Issue 1 Pages
209-215
Published: January 05, 1973
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Amplification of radio-frequency wave, which results from the negative absorption due to stimulated cyclotron radiation, is verified in weakly ionized mercury plasma. It does not occur continuously but does pulsively at certain phase of an lf oscillations present in the dc plasma, and its maximum power gain at the electron cyclotron frequency is estimated to be over 5 dB from experimental result. Time-analyzed probe measurement shows that the excess of electrons is found in the energy region where the elastic collision cross section of electron with neutral atoms increases sharply with increasing electron energy, which is a necessary condition of negative absorption shown in theoretical consideration. If the parameters of plasma generation are adjusted to suitable values, the large emission pulse is observed synchronizing with some phases of the lf oscillations, which are considered to be self-excited in the plasma. Various features of this phenomenon are compared with those of Xe, Kr and Ar plasmas.
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Takashi Fujimoto
1973 Volume 34 Issue 1 Pages
216-224
Published: January 05, 1973
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LTE and CE are treated on the basis of the collisional-radiative model for hydrogenic ion in plasma. Approximate forms of the coefficients of the quasi-steady state solution in the model lead to validity criteria as well as their numerical expressions for the equilibria. A set of criteria for partial LTE are derived which consists of those proposed by Griem and by Byron
et al. and of the ones concerning the state of ionization. The criterion for complete LTE is identical with that by Griem. Two criteria for CE are obtained which reduce to those proposed by Wilson and by McWhirter. Effect of radiation trapping of Lyman lines is estimated, and it is shown that the criteria for partial LTE are little relaxed but that for complete LTE is much affected for
Te⁄
Z2\lesssim1×10
4 K.
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Masakazu Katagiri
1973 Volume 34 Issue 1 Pages
225-231
Published: January 05, 1973
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Unsteady aspects of incompressible flows at a three-dimensional stagnation point of attachment on a general curved surface of a body are described. The velocity of the external stream towards the body is assumed to be kept constant in time
t after its impulsive start from rest at
t=0. The derived fundamental equations by using the boundary layer approximation are found to be non-similar and an attempt to solve them in a numerical scheme is made by employing the difference-differential method. Numerical solutions for various values of a parameter which characterizes the present problem are given for the velocity profile and skin friction and these numerical solutions are used to discuss the development of the boundary layer, the onset of reverse flow and the unsteady behaviour of skin friction.
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Tsuguo Takahashi
1973 Volume 34 Issue 1 Pages
232-246
Published: January 05, 1973
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The steady flow of a non-equilibrium ionized gas with an infinite magnetic Reynolds number past an insulated wall with sharp corners, in the presence of a crossed applied magnetic field, is studied in the linearized approximation.
The speed of the flow is assumed to be larger than that of the fast magnetohydrodynamic wave, and then the fundamental equation becomes purely hyperbolic, while the magnetic field in the wall is governed by the Laplace equation. Since the magnetic field should be continuous on the surface of the wall, disturbances propagate upstream of the first corner through the wall, and there is no uniform region in the flow field. In this case, the Laplace transform cannot be used and the Fourier transform is adopted.
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Kunio Kuwahara, Hideo Takami
1973 Volume 34 Issue 1 Pages
247-253
Published: January 05, 1973
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The motions of a vortex tube with an elliptic cross section and of a vortex sheet of finite length in an inviscid, incompressible fluid are simulated by a number of discrete vortex filaments, each vortex moving under the action of the velocity field of all the other vortices. By the use of this simulation, rotation of the vortex tube and rolling-up of the vortex sheet are investigated numerically as initial value problems. Comparison with exact solutions shows the validity of this method of approximation. In order to improve the results, an artificial viscosity is introduced to the equations of motion. This diminishes randomization of vortices inherent to the treatment without viscosity and thus leads to regular rolling-up of a vortex sheet.
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Shigeo Kida, Tomomasa Tatsumi
1973 Volume 34 Issue 1 Pages
254-263
Published: January 05, 1973
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The velocity profiles of the boundary layer in the laminar inlet flow are calculated numerically. The boundary layer equation is simplified assuming similarity of the velocity profiles in a weak sense and this equation is integrated numerically at various cross-sections corresponding to δ=0, 0.01, ···, 0.16, where δ denotes the displacement thickness. The calculation is not extended beyond δ=0.16 since the inviscid core disappears at this point. The relation of δ with the axial distance
z is obtained from the continuity of flux, and thus the profiles of the axial velocity
u at various cross-sections are obtained as functions of the radial distance
r. Finally the error due to the assumption of weak similarity is estimated.
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Tatsuzo Nagai
1973 Volume 34 Issue 1 Pages
264
Published: January 05, 1973
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Tokuo Wakiyama, Akira Tokairin
1973 Volume 34 Issue 1 Pages
265
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Hideki Nishida, Tsutomu Kobayashi, Yutaka Sugita
1973 Volume 34 Issue 1 Pages
266
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Motoyuki Tanaka, Yoshiro Kondo, Hidemi Kitaguchi
1973 Volume 34 Issue 1 Pages
267
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Keizo Endo, Akira Shinogi, Ren’iti Kimura
1973 Volume 34 Issue 1 Pages
268
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Kimio Adachi, Mamoru Mekata
1973 Volume 34 Issue 1 Pages
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Hitoshi Yamazaki
1973 Volume 34 Issue 1 Pages
270
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Toshio Aoi, Yoshika Masuda
1973 Volume 34 Issue 1 Pages
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Kôki Ikeda
1973 Volume 34 Issue 1 Pages
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Seiki Takahashi, Shigeyuki Hayashi, Mikio Yamamoto
1973 Volume 34 Issue 1 Pages
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Naoki Yokoyama, Yoshihiro Yamada, Shohtaro Kohzuki, Kunisuke Asayama
1973 Volume 34 Issue 1 Pages
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Hiroshi Ohkura, Keiji Murakami, Kiyoshi Iwamori, Shoichi Nakamura, Yuz ...
1973 Volume 34 Issue 1 Pages
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Tsutomu Karasawa, Masamitsu Hirai
1973 Volume 34 Issue 1 Pages
276
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