Resolution of an Initial Shear Flow Discontinuity in One-Dimensional Hydromagnetic Flow (Classic Reprint) - Hardcover

Jack Bazer

9780332140261: Resolution of an Initial Shear Flow Discontinuity in One-Dimensional Hydromagnetic Flow (Classic Reprint)

Hardcover

ISBN 10: 0332140261 ISBN 13: 9780332140261

Publisher: Forgotten Books, 2018

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Explore how a nonlinear one-dimensional hydromagnetic flow resolves a shear flow discontinuity.

This rigorous study explains the motion of a perfectly conducting, electrically neutral, compressible fluid when a transverse velocity jump occurs. Readers will learn how fast shocks and slow rarefaction waves interact to produce a complete, time-dependent description of the flow behind an initial discontinuity.

The work lays out the model, assumptions, and methods used to obtain quantitative descriptions of the evolving wave patterns. It combines graphical and numerical approaches to reveal how pressures, magnetic fields, and velocities relate as the disturbance evolves, including when cavitation may occur and how a transverse magnetic field can be generated.

Clear setup of the one-dimensional hydromagnetic framework and initial conditions.
Detailed analysis of fast shocks, switch-on shocks, and slow rarefaction waves and their roles in resolving discontinuities.
Discussion of how key quantities like pressure ratios and magnetic field components depend on initial conditions and medium parameters.
Approximations and asymptotic results that help readers grasp behavior for small and large discontinuities.

Ideal for readers with an interest in magnetohydrodynamics, shock theory, and the mathematical methods used to model nonlinear flow problems.

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