Effect Of Monochromatic Radiation Research Articles

Similarity solutions for cylindrical shock wave in a self-gravitating and rotating gas under the influence of monochromatic radiation and azimuthal or axial magnetic field by using Lie invariance method

Abstract The group invariance technique is used to investigate the similarity solution of one-dimensional, unsteady motion of cylindrically symmetric shock waves propagating in a rotating, axisymmetric perfect gas permeated with an azimuthal or axial magnetic field, under the effect of monochromatic radiation, with or without self-gravitational effects. The density is considered to be varying with radiation flux moving through the gas. Considering the absorption coefficient to be variable and choosing different values for the arbitrary constants appearing in infinitesimal generators, all possible cases of similarity solutions with shock paths following the power law and exponential law are discussed in detail, and numerical solutions for both the power law and exponential law path is obtained. The effect of changes in the Alfven–Mach number, density exponent, adiabatic index, gravitational, and rotational parameters on shock formation and shock strength has been obtained for both the power law and the exponential law. Further, the effect of all these parameters on the behaviour of flow variables behind the shock is investigated in detail and the results are depicted graphically via figures. It has been found during the study that, the strength of the shock reduces considerably with an increase in the Alfven–Mach number, rotational parameter and adiabatic index, and it increases with increase in density index and gravitational parameter. Various computations involved in this article are carried out by using the MATLAB software.

Similarity solutions for strong shock waves in non-ideal magnetogasdynamics under the effect of monochromatic radiation

This manuscript aims to deal with the one-dimensional unsteady flow of non-ideal gas with monochromatic radiation under the influence of a magnetic field, where the invariance method of the Lie group of transformations is applied in a cylindrically symmetric motion. The density is assumed to be uniform in the undisturbed medium. The radiation flux is considered to move through the non-ideal gas. The self-similar solutions of the considered model are obtained for the power-law and the exponential-law shock paths. The effects of the adiabatic exponent, radiation parameter, ambient magnetic field, and the parameter of non-idealness on the flow variables are shown graphically. Numerical calculations are performed to obtain the self-similar solutions.

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 solutions for the strong shock waves in magnetogasdynamics with the effect of monochromatic radiation

In this paper, the method of invariance of Lie group is used to find the similarity solutions of the cylindrical shock waves for one-dimensional unsteady flow in magnetogasdynamics in the presence of monochromatic radiation. The density is assumed to be non-uniform ahead of the shock. The radiation flux is assumed to move through the gas. It is also shown that how the radiation parameter, ambient density exponent, ratio of specific heats (adiabatic constant) and the initial magnetic field strength affect the profiles of the flow variables. It is found that the shock wave decays in the presence of strong magnetic field and shows reverse behavior in the case of monochromatic radiation, i.e., the shock wave grows faster in the presence of radiation. To obtain the similarity solutions and the profiles of the flow variables, numerical calculations are performed using the software package MATHEMATICA.

Self-Similarity Solution of Cylindrical MGD Shock Waves- Effect of Monochromatic Radiation

By using self similar method, propagation of cylindrical magneto gas dynamic shock waves in existence of magnetic flux under the effect of monochromatic radiation with variable density has been investigated. The equations of motion have been solved by using self similar solutions and numerical solutions are obtained subject to the boundary conditions. It is found that existence of magnetic field and monochromatic radiation decay the shock wave. All the analytical results are represented graphically.

The effect of monochromatic radiation in the range 350 to 750 nm on the carotenogenesis in Verticillium agaricinum

An action spectrum for carotenogenesis in V. agaricinum has maxima at 395, 433, 660 and 737 nm. In a previous study it had been shown that a light‐minus‐dark difference spectrum of a crude extract from V. agaricinum had maxima at 390 and 420 nm, and furthermore a red, far‐red interaction suggesting phytochrome involvement has been proposed. All these data suggest that there may be at least two photoreceptor systems operating in the photoinduction process here; one for the near‐ultraviolet (UV‐A)‐mediated carotenogenesis, presumably a novel pigment, and the other for the red, far‐red region, most likely phytochrome.

Mechanism for the flash under the effect of monochromatic radiation on metal surfaces

A flash is due to the piston effect during the spraying and subsequent evaporation of a melt drop layer in a medium with initial pressures and temperatures equal to the temperature and pressure of the vapors which have been formed earlier above the metal surface, but at a diminished flow velocity.

Effect of monochromatic radiation on change in physical structure of polymers

Effect of monochromatic radiation on change in physical structure of polymers