Browsing by Author "Bishun D. Pandey"

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Analytical solution of converging shock wave in magnetogasdynamics
(2010) L.P. Singh; M. Singh; Bishun D. Pandey
In this paper, a similarity solution to a problem in magnetogasdynamics with strong converging cylindrical shock wave is examined. An analytical description of converging shock waves is presented by replacing the previous approach for numerical solutions of the ordinary differential equations with a theoretical study of the singular points of the differential equations. A study of singular points of the system of differential equations leads to an analytic description of the flowfield and a determination of the similarity exponent. The influences of adiabatic heat exponent and magnetic field strength on the flow pattern for various cases are assessed. The general behavior of the velocity and density distribution remains unaffected. However, the pressure profiles are greatly affected by the magnetic field interaction. Copyright ©2010 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.
Progressive wave analysis describing wave motions in radiative magnetogasdynamics
(1991) Neelam Gupta; Vishnu D. Sharma; Bishun D. Pandey; Rishi R. Sharma
An asymptotic analysis has been carried out to study the propagation of weak nonlinear waves in radiative magnetofluids. The progressive wave theory has been used to derive an evolution equation governing the propagation of nonlinear waves. It has been solved for high-frequency domain. The solution indicates the possibility of a wave breaking after a finite time tc known as the critical time of shock formation. Effects of the thermal radiation, magnetic field, and the coupling of the thermal radiation with the magnetic field have been studied. The decay behavior of a wave with a sawtooth profile headed by a weak shock front and ending with a weak discontinuity has been investigated. © American Institute of Aeronautics and Astronautics, Inc., 1991, All rights reserved.