By Shih-I. Pai
This ebook relies at the lecture notes which the writer gave in a seminar of an analogous name within the Institut fur theoretische Gasdynamik, D. V. L. e. V., Aachen, Germany, in the course of the educational yr of 1957-1958. the subject material has been rewritten and increased after the author's go back to the college of Maryland. the aim of this e-book is to provide a theoretical creation to plasma dynamics and magnetogasdynamics from the gasdynamic standpoint. cognizance is given to the fundamental assumptions and the formula of the speculation of the move difficulties of a plasma, an ionized gasoline, in addition to to a few of the equipment of fixing those difficulties. due to the fact plasma dynamics remains to be in a constructing degree, the writer hopes that this publication _may provide the readers a few uncomplicated components within the conception of plasma -dynamics in order that they might locate it valuable for extra examine and learn during this new box. After the creation within which the scope of plasma. dynamics is in brief mentioned, the basic equations of plasma dynamics from the macro scopic perspective, i. e., the speculation of continuum has been analyzed, intimately in chapters IT to IV, together with many simplified instances sUQh as m,agneto gasdynamics, magnetohydrodynamics, electromaguetodynamics, radiation magnetogasdynamics and so on. In bankruptcy V, the real parameters and their variety of functions were taken care of. The parameters are helpful within the correlation of experi psychological results.
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Extra resources for Magnetogasdynamics and Plasma Dynamics
8· 10-4 g/cm-sec. , [1. is about 2· 10-4 g/cm-sec. For ionized argon in a shock tube [1. 8· 103 g/cm-sec. (10) Non-electric force Fg such as gravitational force and other force. 67 . ) at a distance r cm. is F g = G ml m2/r2. (11) Specific heat at constant volume Cv which characterizes the internal energy of the plasma. We have also CV1 /C V as a non-dimensional parameter. For a monatomic gas, C'v = ~ RA/m erg/deg-g. where m is the mass of the gas in grams. (12) Coefficient of diffusion:D. It is sometimes convenient to express the t 44 Dimensional Analysis and Important Parameter>; diffusion velocity W1 i in terms of the coefficient of diffusion ::u and the gradient of concentration.
4) may be written as Dho PDt op = at + V . (u . 1') + V . ()( V T) -+ + + (V X H) . /2 = stagnati By the theorem of dimensional analysis (5), we may form 17 non-dimensional parameters to characterize our problem from these 22 quantities. The choice of these 17 non-dimensional parameters is arbitrary; but there are only 17 independent non-dimensional parameters. We shall write down these non-dimensional parameters according to their special physical significance including those forms well-known in gasdynamics and electrodynamics. It is convenient to divide these parameters into two groups: (A) parameters of ordinary gasdynamics and (B) new par~meters of plasma dynamics.
By the theorem of dimensional analysis (5), we may form 17 non-dimensional parameters to characterize our problem from these 22 quantities. The choice of these 17 non-dimensional parameters is arbitrary; but there are only 17 independent non-dimensional parameters. We shall write down these non-dimensional parameters according to their special physical significance including those forms well-known in gasdynamics and electrodynamics. It is convenient to divide these parameters into two groups: (A) parameters of ordinary gasdynamics and (B) new par~meters of plasma dynamics.