Journal of Applied Mechanical Engineering

Diffraction of shock waves

2^nd International Conference on Fluid Dynamics & Aerodynamics

October 19-20, 2017 | Rome, Italy

R S Srivastava

Defence Science Centre, India

Scientific Tracks Abstracts: J Appl Mech Eng

Abstract:

Lighthill (1949) investigated the diffraction of normal shock wave past a bend of small angle δ. 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  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.

Biography :

R S Srivastava has been working in the field of Fluid Mechanics for a considerable period of time. He has by now published more than 70 research papers on flow through curved tubes, shock wave diffraction, heat transfer, flow through rotating pipes and non-Newtonian fluids. His work has received international recognition and has been referred widely and profusely in international journals and books by very eminent persons in the area. His work on flow through curved pipes has found application in most of the disciplines in Science, Engineering and Medicine. His prediction of position of maximum axial velocity in curved pipes for different parameters of Mc Conalogue has tallied extremely well with ultrasound measurements. He has written two books: i) “Turbulence (Pipe Flows)” ii) “Interaction of Shock Waves”. He has worked with Prof. Sir James Lighthill, F R S, Prof. I I Glass and Prof. Akira Sakurai at Imperial College, London, Institute for Aerospace Studies, Toronto, Tokyo Denki University, Tokyo, respectively. He has delivered several lectures at many international symposia.