Self-Similar Solution of Spherically Symmetrical Discontinuities with Increasing Energy in Generalized Roche Model

2015 ◽  
Vol 2 (2) ◽  
Author(s):  
Ajay Singh Yadav ◽  
Kishore Kumar Srivastava
Keyword(s):  
Radiation Heat ◽  
Radiation Heat Flux ◽  
Runge Kutta Method ◽  
Self Similar Solution ◽  
Self Similar ◽  
Effects Of Radiation ◽  
Roche Model ◽  
Flow Variables ◽  
Spherical Shock ◽  
Similarity Method

By use of the similarity method, the propagation of magnetogasdynamic spherical shock waves are discussed for Roche model in increasing energy medium. The effects of radiation heat flux on the discontinuities are also discussed. We have solve the differential equation by Runge-Kutta method and pattern of flow variables are illustrated by graphs.

New Self Similar Solution of Spherical Radiative Gasdynamic Shock Wave With Increasing Density Under The Effect Of Axial And Azimuthal Magnetic Field

2015 ◽  
Vol 4 (2) ◽  
Author(s):  
Ajay Singh Yadav ◽  
Pravin Kumar Srivastava ◽  
Kishor Kumar Srivastava
Keyword(s):  
Magnetic Field ◽  
Shock Wave ◽  
Magnetic Fields ◽  
Initial Density ◽  
Radiation Energy ◽  
Azimuthal Magnetic Field ◽  
Self Similar Solution ◽  
Complete Study ◽  
Self Similar ◽  
Spherical Shock

In the present chapter we investigated the self similar flow behind a spherical shock wave propagating in a medium with increasing density, in the presence of magnetic fields. The medium is assumed to be non gravitational due to the heavy nucleus at origin. The medium ahead and behind the shock front are assumed to be inviscid. The initial density of gas is assumed to vary as some power of distance. It is assumed that gas is grey and opaque. The assumption of optically thick grey gas is physically consistant with the neglect of radiation pressure and radiation energy. Total energy of the flow field behind the spherical shock is assumed to be increasing with time, where the gas ahead of the shock is assumed to be at rest. The results of numerical calculations were shown in the form of graphs. A complete study was made for axial and azimuthal magnetic field. Also the effect of variation of initial density behind the shock, shock velocity and respective magnetic fields were investigated.

scholarly journals Radiation and chemical reaction effects on MHD flow along a moving vertical porous plate

2016 ◽  
Vol 21 (1) ◽  
pp. 157-168 ◽  
Author(s):  
G.V. Ramana Reddy ◽  
N. Bhaskar Reddy ◽  
R.S.R. Gorla
Keyword(s):  
Chemical Reaction ◽  
Porous Plate ◽  
Mhd Flow ◽  
Shooting Technique ◽  
Vertical Porous Plate ◽  
Similarity Transformations ◽  
Runge Kutta Method ◽  
Self Similar ◽  
Flow Variables ◽  
Transfer Flow

Abstract This paper presents an analysis of the effects of magnetohydrodynamic force and buoyancy on convective heat and mass transfer flow past a moving vertical porous plate in the presence of thermal radiation and chemical reaction. The governing partial differential equations are reduced to a system of self-similar equations using the similarity transformations. The resultant equations are then solved numerically using the fourth order Runge-Kutta method along with the shooting technique. The results are obtained for the velocity, temperature, concentration, skin-friction, Nusselt number and Sherwood number. The effects of various parameters on flow variables are illustrated graphically, and the physical aspects of the problem are discussed.

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