Flow behind the magnetogasdynamical cylindrical shock wave in rotating non-ideal dusty gas with monochromatic radiation

2021 ◽  
Author(s):  
Praveen Kumar Sahu
Keyword(s):  
Fluid Velocity ◽  
Similarity Solutions ◽  
Monochromatic Radiation ◽  
Ambient Media ◽  
Axial Field ◽  
Azimuthal Magnetic Field ◽  
Cylindrical Shock Wave ◽  
Axis Of Symmetry ◽  
Flow Variables ◽  
Distribution Of Flow

Abstract The proliferation of the cylindrical shock in non-ideal rotating gases accompanying the mixture of crystalline solids with monochromatic radiation as well as magnetic (azimuthal/axial) field is examined. The fluid velocity of ambient media is considered to contain radial, axial, and azimuthal heads. Similarity solutions are achieved. The distribution of flow variables in the medium just behind the shock for the cases of power-law shock paths are analyzed. This is worthy to note, the pressure and density at piston disintegrate in occupancy of an azimuthal magnetic field, therefore suction structures at the axis of symmetry, which is identically in accord with controlled circumstances for trying to produce shock waves.

Approximate analytical solution for ionizing cylindrical shock wave in rotational axisymmetric non-ideal gas: isothermal flow

2020 ◽  
Vol 98 (11) ◽  
pp. 1077-1089
Author(s):  
G. Nath ◽  
Sumeeta Singh
Keyword(s):  
Magnetic Field ◽  
Shock Wave ◽  
Total Energy ◽  
Fluid Velocity ◽  
Ideal Gas ◽  
Isothermal Flow ◽  
Adiabatic Exponent ◽  
Azimuthal Magnetic Field ◽  
Cylindrical Shock Wave ◽  
Axis Of Symmetry

The propagation of an ionizing cylindrical shock wave in rotational axisymmetric non-ideal gas under isothermal flow condition with an azimuthal magnetic field is investigated. The electrical conductivity is assumed to be negligible in the medium ahead of the shock wave, which after the passage of the shock wave becomes infinitely large. The magnetic pressure, azimuthal fluid velocity, and axial fluid velocity are assumed to be varying according to the power law with distance from the axis of symmetry in the undisturbed medium. The zeroth and first-order approximations are discussed by the aid of the power series method. Solutions for the zeroth-order approximation are constructed in analytical form. Distributions of hydrodynamical quantities are discussed. The effect of flow parameters, namely, shock wave Cowling number c∗, adiabatic exponent γ, rotational parameter L, and gas non-idealness parameter [Formula: see text] are studied on the flow variables. Due to the consideration of a rotating medium or due to the presence of magnetic field, the total energy of the disturbance increases, while with an increase in adiabatic exponent γ the total energy of the disturbance decreases. Density and pressure vanish near the axis of symmetry, thus forming a vacuum there.

Similarity Solutions of Cylindrical Shock Waves in Magnetogasdynamics With Thermal Radiation

2015 ◽  
Vol 11 (3) ◽  
Author(s):  
Rajan Arora ◽  
Ankita Sharma
Keyword(s):  
Differential Equations ◽  
Unsteady Motion ◽  
Similarity Solutions ◽  
Ideal Gas ◽  
Time Dependent ◽  
Radiative Cooling ◽  
Azimuthal Magnetic Field ◽  
Cylindrical Shock Wave ◽  
One Dimensional ◽  
Lie Group Of Transformations

Using Lie group of transformations, here we consider the problem of finding similarity solutions to the system of partial differential equations (PDEs) governing one-dimensional unsteady motion of an ideal gas in the presence of radiative cooling and idealized azimuthal magnetic field. The similarity solutions are investigated behind a cylindrical shock wave which is produced as a result of a sudden explosion or driven out by an expanding piston. The shock is assumed to be strong and propagates into a medium which is at rest, with nonuniform density. The total energy of the wave is assumed to be time dependent obeying a power law. Indeed, with the use of the similarity solution, the problem is transformed into a system of ordinary differential equations (ODEs), which in general is nonlinear; in some cases, it is possible to solve these ODEs to determine some special exact solutions.

Vibration and Stability Behaviour of Sandwiched Viscoelastic Pipes Conveying a Non-Newtonian Fluid

2010 ◽  
Author(s):  
Vincent O. S. Olunloyo ◽  
Charles A. Osheku ◽  
Sidikat I. Kuye
Keyword(s):  
Newtonian Fluid ◽  
Fluid Velocity ◽  
Linear Equations ◽  
Steel Pipes ◽  
Flow Parameters ◽  
Internal Fluid ◽  
Reduction Mechanisms ◽  
Internal Fluid Flow ◽  
Flow Induced Vibrations ◽  
Flow Variables

Internal fluid flow parameters in conjunction with elastomechanical properties of conveyance systems have significantly modulated flow induced vibrations in pipeline and riser systems. Recent advances on the mechanics of sandwich elastic systems as effective vibration and noise reduction mechanisms have simulated the possibility of replacing traditional steel pipes with sandwich pipes in deepwater environment. The dynamic behaviour and stability of sandwich elastic pipes conveying a non-Newtonian fluid are investigated in this paper. For this problem, a set of generalised non-linear equations governing the vibration of sandwich pipes held together in pressurised environment and conveying a non-Newtonian fluid is presented. By linearizing the governing partial differential equation matching the problem physics, under slight perturbation of the internal fluid velocity and other flow variables closed form analytical results for the system dual natural frequencies and stability under external excitation are computed for field designs and applications. Results show that for a given length of pipe, beyond the critical velocity, instability increases with the velocity of conveyance.

Four-Phase Flow of Oil, Gas, Water, and Sand Mixtures in Subsea Pipelines

2020 ◽  
Author(s):  
Mohamed Odan ◽  
Faraj Ben Rajeb ◽  
Mohammad Azizur Rahman ◽  
Amer Aborig ◽  
Syed Imtiaz ◽  
...  
Keyword(s):  
Volume Fraction ◽  
Fluid Velocity ◽  
Phase Flow ◽  
Flow Induced Vibration ◽  
Multi Phase Flow ◽  
Flow Variables ◽  
Multi Phase ◽  
Subsea Pipelines ◽  
The Impact ◽  
Oil Gas

Abstract This paper investigates issues around four-phase (Oil/CO2/water/sand) flows occurring within subsea pipelines. Multi-phase flows are the norm, as production fluid from reservoirs typically include sand with water. However, these multi-phase flow mixtures, whether three- or four-phase, are at risk of forming slug flows. The inclusion of sand in this mixture is concerning, as it not only leads to increased levels of pipeline erosion but it also has the potential, to accumulate sand at the bottom of the pipe, blocking the pipe or at the very least hindering the flow. This latter impact can prove problematic, as a minimum fluid velocity must be maintained to ensure the safe and regulated flow of particles along a pipeline. The presence of low amounts of sand particles in oil/gas/water flow mixtures can serve to reduce the pressure exerted on bends. The sand volume fraction must in this case, be relatively low such that the particles’ resistance causes only a moderate loss in pressure. Therefore, the study aims to gauge the impact of oil/gas/water/sand mixtures on various pipeline structures as well as to further investigate the phenomenon of flow-induced vibration to determine the optimal flow variables which can be applied predicting the structural responses of subsea pipelines.

Guided acceleration of nanoparticles by laser irradiated parallel gold nanorods

2021 ◽  
Author(s):  
Mamta Yadav ◽  
Ashok Kumar ◽  
Subhayan Mandal
Keyword(s):  
Laser Pulse ◽  
Electric Field ◽  
Pulse Duration ◽  
Gold Nanorods ◽  
Ponderomotive Force ◽  
Transverse Component ◽  
High State ◽  
Free Electrons ◽  
Axial Field ◽  
Axis Of Symmetry

Abstract Laser irradiated parallel gold nanorods with interspersed deuterium nanoparticles are shown to offer guided acceleration of nanoparticles. The laser pulse of intensity exceeding 1018W/cm2 at 1 μm wavelength and pulse duration ~30 fs causes full ionization of nanoparticles and high state ionization of gold atoms and pushes out the free electrons via the ponderomotive force. The charged nanorods have an electric field that has transverse component towards the axis of symmetry and axial field outwards. Thus the nanoparticles are accelerated axially while confined transversely. Deuterium beam of a few MeV energy can be produced by this technique.

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