Linearized Analysis of One-Dimensional Magnetohydrodynamic Flows

1. Front Matter

   Pages I-IX

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2. General Theory

   • Roy M. Gundersen

   Pages 1-8

3. Shock Propagation in Non-Uniform Ducts

   • Roy M. Gundersen

   Pages 9-30

4. The Piston-Driven Shock Wave

   • Roy M. Gundersen

   Pages 30-37

5. Flows with Heat Addition

   • Roy M. Gundersen

   Pages 37-50

6. Simple Wave Flows

   • Roy M. Gundersen

   Pages 50-68

7. Formation and Decay of Shock Waves

   • Roy M. Gundersen

   Pages 68-78

8. The Effects Due to an Oblique Applied Field

   • Roy M. Gundersen

   Pages 78-95

9. Back Matter

   Pages 96-122

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Magnetohydrodynamics is concerned with the motion of electrically conducting fluids in the presence of electric or magnetic fields. Un­ fortunately, the subject has a rather poorly developed experimental basis and because of the difficulties inherent in carrying out controlled laboratory experiments, the theoretical developments, in large measure, have been concerned with finding solutions to rather idealized problems. This lack of experimental basis need not become, however, a multi­ megohm impedance in the line of progress in the development of a satisfactory scientific theory. While it is true that ultimately a scientific theory must agree with and, in actuality, predict physical phenomena with a reasonable degree of accuracy, such a theory must be sanctioned by its mathematical validity and consistency. Physical phenomena may be expressed precisely and quite comprehensively through the use of differential equations, and the equations formulated by LUNDQUIST and discussed by FRIEDRICHS belong to a class of equations particularly well-understood and extensively studied. This class includes, in fact, many other eminent members, the solutions of which have led to results of far-reaching scientific and technological application. Frequently, the mathematical analysis has provided the foundations and guidance necessary for further developments, and, reciprocally, the physical problems have provided, in many cases, the impetus for the development of new mathematical theories which often have evolved to an a priori unpredictable extent.

• Flows
• Hydrodynamik
• Magnetohydrodynamik
• development
• dynamics

• University of Wisconsin-Milwaukee, USA

  Roy M. Gundersen

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