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KCL, Ray Theories and Application to Sonic Boom

Baskar, S and Prasad, Phoolan (2006) KCL, Ray Theories and Application to Sonic Boom. In: Proc. Of 10th International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 2006.

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We first review a general formulation of ray theory and write down the conservation forms of the equations of a weakly nonlinear ray theory (WNLRT) and a shock ray theory (SRT) for a weak shock in a polytropic gas. Then we present a formulation of the problem of sonic boom by a maneuvering aerofoil as a one parameter family of Cauchy problems. The system of equations in conservation form is hyperbolic for a range of values of the parameter and has elliptic nature else where, showing that unlike the leading shock, the trailing shock is always smooth.

Item Type: Conference Paper
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 24 Nov 2011 06:51
Last Modified: 24 Nov 2011 06:51
URI: http://eprints.iisc.ac.in/id/eprint/42140

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