Publisher's Synopsis
Excerpt from Magnetohydrodynamic Flow Past a Thin Airfoil
The solution, however, is not unique and in Section 4 an uniqueness condition analogous to the kutta-joukowsky condition is proposed.(4) Similar to subsonic fluid dynamics, functions may be added which are singular at the ends of the body, by which means the singularity at either end of the body may be suppressed. The dual nature of the hyperliptic regime is evident in the fact that the singularities on the body are also propagated into the fluid along the real characteristics, and this feature is used to determine a physically acceptable uniqueness condition. The condition proposed ensures the square integrability of the flow variables over any region of the fluid. The line singularities remaining in the solution result from a breakdown of the linear analysis used and the solutions in the neighborhood of these singularities may not provide good pointwise approximations to the correct solution. On the other hand, they may give an indication of the formation of shocks. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
