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http://hdl.handle.net/2080/1291
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| Title: | Solution to Magnetogasdynamics |
| Authors: | Raja Sekhar, T |
| Keywords: | Magnetogasdynamics
hyperbolic system |
| Issue Date: | Aug-2010 |
| Citation: | International Congress of Mathematicians, 2010 held at Hyderabad during 19-27 August 2010 |
| Abstract: | The Riemann problem for a quasilinear hyperbolic system of equations govern-ing the one dimensional unsteady simple wave °ow of an inviscid and perfectly conducting compressible °uid, subjected to a transverse magnetic ¯eld, is solved approximately. This class of equations includes as a special case the Euler equa-
tions of gasdynamics. It is noticed that in contrast to the gasdynamic case, the pressure is varying across the contact discontinuity. The iterative procedure is used to ¯nd densities, between left acoustic wave and right contact discontinu-ity, and between right contact discontinuity and right acoustic wave, respectively. All other quantities follow directly throughout the (x; t)-plane, except within rar-efaction waves, where an extra iterative procedure is used along with Gaussian
quadrature rule to ¯nd particle velocity; indeed, the determination of the parti- cle velocity involves numerical integration when the magneto-acoustic wave is a rarefaction wave. Lastly, we di... |
| Description: | Copyright belongs to the Proceeding of Publisher |
| URI: | http://hdl.handle.net/2080/1291 |
| Appears in Collections: | Conference Papers
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