Action Of Monochromatic Radiation Research Articles

Retraction: “Cylindrical shock waves in rotational axisymmetric non-ideal dusty gas with increasing energy under the action of monochromatic radiation” [Phys. Fluids 29, 086102 (2017)

Retraction: “Cylindrical shock waves in rotational axisymmetric non-ideal dusty gas with increasing energy under the action of monochromatic radiation” [Phys. Fluids <b>29</b>, 086102 (2017)

Magnetogasdynamic shock wave propagation using the method of group invariance in rotating medium with the flux of monochromatic radiation and azimuthal magnetic field

Abstract The propagation of a cylindrical shock wave in rotating medium with azimuthal magnetic field under the action of monochromatic radiation using a method of group invariance is investigated. To derive similarity solutions as well as exact solutions, the group invariance technique is used. All classes of the solutions depending on the absorption coefficient are discussed by considering absorption coefficient to be variable or constant. A similarity solution is obtained, when the absorption coefficient is assumed to be variable. Two cases of solutions with a power law shock path are obtained by the different choices of arbitrary constants involving in the infinitesimal generators of the Lie group of transformations. To obtain the similarity solution in the case of the power law shock path, the density, magnetic field, axial and azimuthal velocity components are assumed to be varying and obeying power laws in the undisturbed medium. It is observed that with increase in the values of Alfven Mach number, adiabatic exponent and rotational parameter, shock strength decreases. The effects of variation of magnetic field strength, adiabatic exponent, rotational parameter and initial magnetic field variation index on the flow variables and on shock waves are analyzed graphically. Also, all classes of exact solutions are obtained by considering a constant absorption coefficient.

Similarity solutions for cylindrical shock waves in a non-ideal gas under the action of monochromatic radiation

A theoretical model for the propagation of cylindrical shock waves in the adiabatic flow of a non-ideal gas with the effect of monochromatic radiation into the stellar interiors is studied. We obtain some special class of self-similar solutions to the considered problem using the Lie group of transformations. Here, we assume that the density is uniform in the undisturbed medium. The radiation flux is considered to be moving through the non-ideal gas. The flow variables behind the shock front are discussed through graphs. Also, the effects of variation in the non-ideal parameter, radiation parameter and adiabatic exponent on the flow variables are explained. The obtained results are quite similar to the results obtained by Vishwakarma and Pandey (2012 Int. J. Phys. Math. Sci. 2 27–37). The software package ‘MATLAB’ has performed all the computational work.

Similarity solution for a spherical shock wave in a non‐ideal gas under the influence of gravitational field and monochromatic radiation with increasing energy

The propagation of a spherical shock wave in a non‐ideal gas with or without gravitational effects is investigated under the action of monochromatic radiation. Similarity solutions are obtained for adiabatic flow between the shock and the piston. The numerical solutions are obtained using the Runge‐Kutta method of the fourth order. The density of the gas is assumed to be constant. The total energy of the shock wave is non‐constant and varies with time. The effects of change in values of non‐idealness parameter, gravitational parameter, shock Mach number, radiation parameter, and adiabatic exponent of the gas on shock strength and flow variables are worked out in detail. It is investigated that the presence of gravitational field increases the compressibility of the medium, due to which it is compressed and, therefore, the distance between the inner contact surface and the shock surface is reduced. A comparison is also made between the solutions in the cases of the gravitating and the non‐gravitating media. It is manifested that the gravitational parameter and the radiation parameter have in general opposite behaviour on the flow variables and the shock strength.

Self-Similar Solution of Spherical Shock Wave Propagation in a Mixture of a Gas and Small Solid Particles with Increasing Energy under the Influence of Gravitational Field and Monochromatic Radiation

Similarity solution for a spherical shock wave with or without gravitational field in a dusty gas is studied under the action of monochromatic radiation. It is supposed that dusty gas be a mixture of perfect gas and micro solid particles. Equilibrium flow condition is supposed to be maintained and energy is varying which is continuously supplied by inner expanding surface. It is found that similarity solution exists under the constant initial density. The comparison between the solutions obtained in gravitating and non-gravitating medium is done. It is found that the shock strength increases with an increase in gravitational parameter or ratio of the density of solid particles to the initial density of the gas, whereas an increase in the radiation parameter has decaying effect on the shock waves.

Cylindrical shock waves in rotational axisymmetric non-ideal dusty gas with increasing energy under the action of monochromatic radiation

The propagation of a cylindrical shock wave in a rotational axisymmetric non-ideal dusty gas under the action of monochromatic radiation with increasing energy, which has variable azimuthal and axial components of fluid velocity, is investigated. The dusty gas is assumed to be a mixture of non-ideal (or perfect) gas and small solid particles, in which solid particles are continuously distributed. Similarity solutions are obtained as well as the effects of the variation of the radiation parameters, the parameter of non-idealness of the gas, the mass concentration of solid particles in the mixture, the ratio of the density of solid particles to the initial density of the gas, and the piston velocity index are worked out in detail. The total energy of the shock wave is varying and increases with time. It is observed that the radiation parameter and the piston velocity index have opposite behaviour on the flow variables as well as the shock strength. The author of the article agrees to the retraction of the article effective AUGUST 12, 2021.

Propagation of a cylindrical shock wave in a mixture of a non-ideal gas and small solid particles under the action of monochromatic radiation

A cylindrical shock wave in a dusty gas under the action of monochromatic radiation into the stellar atmosphere with a constant intensity per unit area is discussed. The gas is assumed to be grey and opaque, and the shock is assumed to be transparent. The dusty gas is considered as a mixture of a non-ideal gas and small solid particles. To obtain some essential features of shock propagation, small solid particles are considered as a pseudo-fluid, and it is assumed that the equilibrium flow condition is maintained in the entire flowfield. The effects of the parameters of the gas non-idealness, the mass concentration of solid particles in the mixture, the ratio of the density of solid particles to the initial density of the gas, and the radiation parameter on flow variables are investigated. It is shown that an increase in the gas non-idealness and the radiation parameter has a 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. It is found that an increase in the gas non-idealness and the ratio of the density of solid particles to the initial density of the gas has the opposite effects on the fluid velocity, pressure, and shock strength. It is also shown that an increase in the radiation parameter has a trend to decrease the flow variables and the shock strength.

Self-similar Solution of a Cylindrical Shock Wave under the Action of Monochromatic Radiation in a Rotational Axisymmetric Dusty Gas

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.

Propagation of a Cylindrical Shock Wave in a Mixture of a Non-Ideal Gas and Small Solid Particles under the Action of Monochromatic Radiation

Propagation of a Cylindrical Shock Wave in a Mixture of a Non-Ideal Gas and Small Solid Particles under the Action of Monochromatic Radiation

Similarity solution for the flow behind a cylindrical shock wave in a rotational axisymmetric gas with magnetic field and monochromatic radiation

Similarity solutions are obtained for unsteady, one-dimensional flow behind a magnetogasdynamic shock wave propagating in a rotational axisymmetric perfect gas in the presence of an azimuthal magnetic field under the action of monochromatic radiation. A diverging cylindrical shock wave is supposed to be propagating outwards from the axis of symmetry. The ambient medium is assumed to have variable axial and azimuthal components of fluid velocity. The fluid velocities, the initial density and the initial magnetic field of the ambient medium are assumed to be varying and obeying power laws. We have assumed that the radiation flux moves through a rotational axisymmetric perfect gas with constant intensity and the energy is absorbed only behind the shock wave which moves in opposite direction to the radiation flux. The effects of variation of adiabatic exponent and Alfven-Mach number are investigated. It is obtained that the presence of the magnetic field and increase in the ratio of the specific heat of the gas have decaying effect on the shock wave. Also, it is observed that an increase in the strength of the ambient magnetic field and adiabatic exponent of the gas have same effect on the flow variables except the radial component of fluid velocity and radiation flux.

Unsteady Adiabatic Flow Behind a Cylindrical Shock in a Rotational Axisymmetric Non-Ideal Gas Under the Action of Monochromatic Radiation

A self-similar model for the unsteady, one-dimensional cylindrical shock waves in non-ideal gas is discussed in a rotating atmosphere under the action of monochromatic radiation. The ambient medium is assumed to possess radial, axial and azimuthal component of fluid velocities. The fluid velocities within the ambient medium are assumed to be varying and obeying a power law. Similarity solutions exist only when the surrounding medium is of constant density. The gas is assumed to be non-ideal and the angular velocity of the ambient medium is assumed to be decreasing as the distance from the axis increases. It is investigated that increase in the non-idealness of the gas and the adiabatic exponent of the gas decay the shock wave. It is observed that the non-idealness of the gas and adiabatic exponent of the gas have same effects on the flow variables except radial component of fluid velocity. Also, the non-idealness of the gas decreases the radiation flux and increases pressure and density, whereas the shock-Mach number have opposite behaviour on them.

Magnetohydrodynamic Cylindrical Shock in a Rotational Axisymmetric Non-Ideal Gas Under the Action of Monochromatic Radiation

A self-similar MHD cylindrical shock wave is investigated in a non-uniform rotating non-ideal gas under the action of monochro- matic radiation. The fluid velocities and the initial magnetic field of the ambient medium are assumed to be varying and obeying power laws. The gas is assumed to be non-ideal having infinite electrical conductivity and as the distance from the axis in- creases the angular velocity of the ambient medium decreases. Also, when the surrounding medium is of constant density then only similarity solutions exist. It is investigated that increase in the non-idealness of the gas, the adiabatic exponent of the gas and the strength of ambient magnetic field have decaying effect on the shock wave. Also, it is observed that an increase in the non-idealness of the gas and adiabatic exponent of the gas has same effect on the flow variables except the radial component of fluid velocity, the pressure and the magnetic field.

Self-Similar Flow under the Action of Monochromatic Radiation Behind a Cylindrical MHD Shock in a Non-Ideal Gas

Similarity solutions are obtained for one-dimensional flow under the action of monochromatic radiation behind a cylindrical magnetogasdynamic shock wave propagating in a non-ideal gas in presence of an axial magnetic field. The initial density of the medium and initial magnetic field are assumed to be constant. It is investigated that the presence of the magnetic field or the non-idealness of the gas decays the shock wave, and when the initial magnetic field is strong the non-idealness of the gas affects the velocity and pressure profiles significantly. Also, it is observed that the flow-variables behind the shock are affected significantly, by an increase in the parameter of radiation, when the initial magnetic field is strong. It is, therefore, inferred that the effect of the non-idealness of the gas and of the monochromatic radiation on the shock propagation become more significant when the strength of the initial magnetic field is increased.

Propagation of Cylindrical Shock Waves in a Non-Uniform Rotating Stellar Atmosphere under the Action of Monochromatic Radiation and Gravitation

A self-similar, theoretical model of propagation of cylindrical shock wave in a magneto- gas dynamic rotating non-uniform atmosphere in the presence of monochromatic radiation and gravitation, is considered. The result discussed depends upon the variations of the flow variables behind the shock, which are displayed graphically. A special case is considered in presence and absence of gravitation along with rotation to observe the influence of gravitation.

Optical amplification of photoinduced polarizability gratings in phosphate glasses

It is experimentally demonstrated that second-order polarizability gratings preliminarily recorded using bichromatic light in a phosphate glass can be amplified under the action of monochromatic radiation. The amplification effect takes place irrespective of the polarization and direction of propagation of the amplifying radiation and is achieved at various wavelengths. The phenomenon is related to the asymmetry of optical transitions between local centers in an isotropic medium in the presence of electric field. It is theoretically shown that this system may feature the formation of alternating electric field domains with dimensions depending on the grating amplitude.

Propagation of cylindrical shock waves in a rotating atmosphere under the action of monochromatic radiation

A model of cylindrical shock waves is discussed in a non-uniform rotating atmosphere under the action of monochromatic radiation. We have assumed that the radiation flux moves through a rotating gas with constant intensity and the energy is absorbed only behind the shock wave which moves in opposite direction to the radiation flux.

Spherical mhd shock waves under the action of monochromatic radiation

Self-similar MHD shock waves have been studied under the action of monochromatic radiation into a non-uniform stellar atmosphere with a constant intensity on unit area. It has been assumed that the radiation flux moves through the gas. Variation of flow variables have heen shown in tables for two different cases.

Drift of a rarefied gas in a planar channel under the action of monochromatic radiation

A theoretical study is performed of light-induced drift of a rarefied gas in a planar channel. The problem is solved using linearized kinetic equations for a two-level particle model in the “weak field” approximation. Analytical expressions are obtained for the drift, averaged over channel section in almost free-molecular (Kn ≫ 1) and viscous with slippage (Kn ≪ 1) flow regimes. Various mechanisms for this drift are analyzed. Numerical estimates of drift velocity are presented.

Propagation of cylindrical shock waves under the action of monochromatic radiation

A model of cylindrical shock waves is investigated under the action of monochromatic radiation into non-uniform stellar interiors with a constant intensity on a unit area. We have assumed that the radiation flux moves through the gas.

A study of self-similar cylindrical MHD shock waves in monochromatic radiation

Theoretical model of cylindrical MHD shock waves are presented under the action of monochromatic radiation into non-uniform stellar atmosphere with a constant intensity on unit area. Gas is assumed to be grey and opaque and shock to be transparent.