A self-similar flow behind a cylindrical shock wave is studied under the action of monochromatic radiation in a rotational axisymmetric dusty gas. The dusty gas is taken to be a mixture of small solid particles and pe...A self-similar flow behind a cylindrical shock wave is studied under the action of monochromatic radiation in a rotational axisymmetric dusty gas. The dusty gas is taken to be a mixture of small solid particles and perfect gas,and solid particles are continuously distributed in the mixture. The similarity solutions are obtained and the effects of the variation of the radiation parameter, the ratio of the density of solid particles to the initial density of the gas, the mass concentration of solid particles in the mixture and the index for the time dependent energy law are investigated.It is observed that an increase in the radiation parameter has decaying effect on the shock waves; whereas the shock strength increases with an increase in the ratio of the density of solid particles to the initial density of the gas or the index for the time dependent energy law. Also, it is found that an increase in the radiation parameter has effect to decrease the flow variables except the density and the azimuthal component of fluid velocity. A comparison is also made between rotating and non-rotating cases.展开更多
The dynamical effects of a cylindrically symmetric moving shock wave in a self-gravitating and rotating ideal gas medium influenced by a magnetic field and radiation heat flux are investigated.The dynamics of the shoc...The dynamical effects of a cylindrically symmetric moving shock wave in a self-gravitating and rotating ideal gas medium influenced by a magnetic field and radiation heat flux are investigated.The dynamics of the shock wave are governed by the one-dimensional motion of the gas,and the energy equation contains the effect of thermal radiation in the setting of an optically thick limit.A mathematical model is established using the Lie symmetry method,and all possible cases of similarity solutions are obtained by choosing different subalgebras from the optimal system.The numerical computations are performed using a fourth-order Runge-Kutta method.For a power law shock path,the contour plots of flow variables such as density and velocity are presented for convenient visualization.The variations of the shock strength and the flow variables in the physical flow field region behind the shock front with changes in the values of the gravitational parameter,rotational parameter,adiabatic index,ambient magnetic field strength,similarity exponent,and radiative heat transfer parameter are investigated.It is found that increases in the ambient magnetic field strength and the radiative heat transfer parameter lead to decay of the shock wave.For a power law shock path,it is found that increases in the gravitational parameter and adiabatic index cause decay of the shock wave,whereas for an exponential law shock path,the shock strength is increased by increases in the values of these parameters.展开更多
文摘A self-similar flow behind a cylindrical shock wave is studied under the action of monochromatic radiation in a rotational axisymmetric dusty gas. The dusty gas is taken to be a mixture of small solid particles and perfect gas,and solid particles are continuously distributed in the mixture. The similarity solutions are obtained and the effects of the variation of the radiation parameter, the ratio of the density of solid particles to the initial density of the gas, the mass concentration of solid particles in the mixture and the index for the time dependent energy law are investigated.It is observed that an increase in the radiation parameter has decaying effect on the shock waves; whereas the shock strength increases with an increase in the ratio of the density of solid particles to the initial density of the gas or the index for the time dependent energy law. Also, it is found that an increase in the radiation parameter has effect to decrease the flow variables except the density and the azimuthal component of fluid velocity. A comparison is also made between rotating and non-rotating cases.
文摘The dynamical effects of a cylindrically symmetric moving shock wave in a self-gravitating and rotating ideal gas medium influenced by a magnetic field and radiation heat flux are investigated.The dynamics of the shock wave are governed by the one-dimensional motion of the gas,and the energy equation contains the effect of thermal radiation in the setting of an optically thick limit.A mathematical model is established using the Lie symmetry method,and all possible cases of similarity solutions are obtained by choosing different subalgebras from the optimal system.The numerical computations are performed using a fourth-order Runge-Kutta method.For a power law shock path,the contour plots of flow variables such as density and velocity are presented for convenient visualization.The variations of the shock strength and the flow variables in the physical flow field region behind the shock front with changes in the values of the gravitational parameter,rotational parameter,adiabatic index,ambient magnetic field strength,similarity exponent,and radiative heat transfer parameter are investigated.It is found that increases in the ambient magnetic field strength and the radiative heat transfer parameter lead to decay of the shock wave.For a power law shock path,it is found that increases in the gravitational parameter and adiabatic index cause decay of the shock wave,whereas for an exponential law shock path,the shock strength is increased by increases in the values of these parameters.
