Magnetogasdynamic deflagration under the Chapman-Jouguet condition

1965 ◽  
Vol 23 (4) ◽  
pp. 779-786 ◽  
Author(s):  
A. R. Gordon ◽  
J. B. Helliwell
Keyword(s):  
Magnetic Field ◽  
Shock Wave ◽  
Flame Front ◽  
Combustion Wave ◽  
Transverse Magnetic Field ◽  
Transverse Magnetic ◽  
One Dimensional ◽  
Electrically Conducting ◽  
Sufficient Strength

An investigation is made into the propagation of a one-dimensional combustion wave, which consists of a flame front and a precursor shock wave which pass down a tube closed at one end, in the presence of a transverse magnetic field in the undisturbed gas at rest. The shock wave is assumed to be of sufficient strength to ionize completely the initially non-electrically-conducting gas and the conditions at the flame front are taken to satisfy the Chapman–Jouguet condition. Details of the solution are compared with the corresponding results for ordinary gasdynamic deflagration.

Channel-Flow of Conducting Fluids Under an Applied Transverse Magnetic Field

1964 ◽  
Vol 31 (2) ◽  
pp. 165-169 ◽  
Author(s):  
Apostolos E. Germeles
Keyword(s):  
Magnetic Field ◽  
Transverse Magnetic Field ◽  
Electromagnetic Flowmeter ◽  
Steady State Solution ◽  
Transverse Magnetic ◽  
Two Dimensional ◽  
One Dimensional ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
The One

The most general steady state solution is derived for the laminar flow of an incompressible, viscous and electrically conducting fluid in a one-dimensional channel under an applied transverse magnetic field. The channel can act as an electromagnetic flowmeter or pump. The effect of the conductivity of the walls is included. The solution has two unknown constants and, by choosing them properly, it can be made to fit the solution of all two-dimensional channels whose geometry approaches in the limit that of the one-dimensional channel. This is done in detail for the two-dimensional channels with rectangular and annular cross-section.

scholarly journals Effect of a magnetic field on the growth rate of the Rayleigh–Taylor instability of a laser-accelerated thin ablative surface

2004 ◽  
Vol 22 (1) ◽  
pp. 29-33 ◽  
Author(s):  
N. RUDRAIAH ◽  
B.S. KRISHNAMURTHY ◽  
A.S. JALAJA ◽  
TARA DESAI
Keyword(s):  
Magnetic Field ◽  
Growth Rate ◽  
Transverse Magnetic Field ◽  
Plasma Layer ◽  
Fusion Energy ◽  
Transverse Magnetic ◽  
Taylor Instability ◽  
Electrically Conducting ◽  
Rayleigh Taylor Instability ◽  
Thin Plasma

The Rayleigh–Taylor instability (RTI) of a laser-accelerated ablative surface of a thin plasma layer in an inertial fusion energy (IFE) target with incompressible electrically conducting plasma in the presence of a transverse magnetic field is investigated using linear stability analysis. A simple theory based on Stokes-lubrication approximation is proposed. It is shown that the effect of a transverse magnetic field is to reduce the growth rate of RTI considerably over the value it would have in the absence of a magnetic field. This is useful in the extraction of IFE efficiently.

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