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Volume 13 (1964)
- Issue 6 Pages 541-
- Issue 5 Pages 473-
- Issue 4 Pages 361-
- Issue 3 Pages 312-
- Issue 2 Pages 120-
- Issue 1 Pages 1-
Volume 13, Issue 5
Displaying 1-4 of 4 articles from this issue
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Case of a Uniform Magnetic ChannelM. SATO, S. HAMADA1964 Volume 13 Issue 5 Pages 473-492
Published: 1964
Released on J-STAGE: March 04, 2011
JOURNAL FREE ACCESSThe expansion of plasma into vacuum in a cylindrical tube, and the related problem of thermalization by the production of shock wave, are considered in a hydrodynamical model to obtain an overall picture of the irreversible expansion process in the B.S.G. (MACETIE) experiment.View full abstractDownload PDF (1267K) -
Case of a Non Uniform Magnetic ChannelS. HAMADA1964 Volume 13 Issue 5 Pages 493-516
Published: 1964
Released on J-STAGE: March 04, 2011
JOURNAL FREE ACCESSThe expansion of plasma into vacuum in a non-uniform magnetic channel, and the thermalization by the production of shock wave, are hydromagnetically considered in relation to the MACETIE experiment. The system of hydromagnetic equations is reduced to a system of equations for a one dimmensional problem, under the assumption of low B. Approximate solutions for the plasma flow into a weak magnetic field from a straight strong field, are deduced. in approximate solution for the plasma flow into a weak field from a strong mirror field, also deduced. In contrast to the case of an uniform magnetic channel, one of the former solutions produces a uniform supersonic stream with a certain length. The later solution also produces a quasi uniform stream, the length which is approximately proportional, to the mirror ratio. The thermalization of these streams by shock formation is considered and the results are compared with the statics of MACETIE.View full abstractDownload PDF (1670K) -
S. HAMADA1964 Volume 13 Issue 5 Pages 517-530
Published: 1964
Released on J-STAGE: March 04, 2011
JOURNAL FREE ACCESSA successive approximation method is proposed. The method is sma11.β expansion. The plasma is assumed to be an infinitely conductive ideal gas. The hydromagnetic equations are rewritten in a time-dependent curvilinear coordinate system, the one family & coordinate lanes of which attaches the field lines frozen with the plasma. The resultant equations are separable into two systems of equations. One of the systems is essentially representing a one dimensional problem along each magnetic line of force. This problem is solvable in itself by numerical calculations when the time variation of the field is already known. The other system of equations describes that the Lorentz' forcej×B must balance the other forces perpendicular to the lines of force; pressure gradient, inertia, centrifugal force and Coriolis force. These circumstances enable us to do iteration when a zeroth ordar magileticfield, for example, vacuum field, is known and β is sufficiently small compared to unity. The proposed method should be carefully examined in relation to the singularity appearing in the case of small Alfven number, however, that is now under way.View full abstractDownload PDF (858K) -
S. NAGAO1964 Volume 13 Issue 5 Pages 531-534
Published: 1964
Released on J-STAGE: March 04, 2011
JOURNAL FREE ACCESSDownload PDF (253K)
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