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.
KCL,_Ray_Theories.pdf - Published Version
Restricted to Registered users only
Download (840Kb) | Request a copy
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|
Actions (login required)