Biography
Biography: R S Srivastava
Abstract
Lighthill (1949) investigated the diffraction of normal shock wave past a bend of small angle d. He used small perturbation theory to linearize the problem and solved the problem through Busemann transformation and complex variable technique. He obtained pressure distribution over the wall for several Mach numbers of the shock wave. Lighthill’s theoretical results were tested experimentally (1950). Sakurai and Takayama (2005) extended the theory of Lighthill to larger d through singular perturbation theory. Shock diffraction phenomenon provides insight into vortex development and vortex shock interaction whose applications include noise control, propulsion or wing aerodynamics. In relation to this Srivastava (2013) predicted vorticity distribution over diffracted shock both from Lighthill’s theory and Sakurai and Takayama’s theory. Srivastava (1968) developed the theory of diffraction of oblique shock waves (consisting of incident and reflected shock waves) analogous to the theory of Lighthill. Srivastava gave the pressure distribution over the wall surface when the relative outflow behind the reflected shock wave before diffraction is subsonic and sonic. Subequently Srivastava and Chopra (1970) obtained the pressure distribution on the wall when the relative outflow behind the reflected shock wave before diffraction is supersonic. The results of Srivastava and Chopra (1970) were tested experimentally at the Institute of Aerospace studies, University of Toronto, Canada by Srivastava and Deshambault (1984). The results were found to be extremely satisfactory. More work on this subject has been carried out by Liet et al (1994) and by Heilig (1995, 1996), at the Ernst Mach Institute, Germany.
Recent Publications
1. Lighthill MJ (1949) The diffraction of blast-1. Proc. Roy. Soc. A. 198: 454-470.
2. Fletcher CH, Weimer DK and Bleakney W (1950) Pressure behind a shock wave diffracted through a small angle. Physical Review 78(5): 634-635.
3. Sakurai A, Takayama F (2005) Analytical solution of a flow field for weak Mach reflection over a plane surface. Shock Waves. 14: 225-230.
4. Srivastava RS (2013) On the vorticity distribution over a normal diffracted shock for small and large bends. Shock Waves 23(5): 525-528.
5. Srivastava RS (1968) Diffraction of blast wave for the oblique case. British Aeronautical Research Council. Current Paper No. 1008 (Ministry of Aviation).