A steady-state fluid model of a rotating plasma

1981 ◽  
Vol 24 (3) ◽  
pp. 418 ◽  
Author(s):  
S. W. Simpson
Keyword(s):  
Steady State ◽  
Fluid Model

scholarly journals A three-dimensional steady state thermal fluid model of jumbo ingot casting during electron beam re-melting of Ti–6Al–4V

2014 ◽  
Vol 38 (14) ◽  
pp. 3607-3623 ◽  
Author(s):  
X. Zhao ◽  
C. Reilly ◽  
L. Yao ◽  
D.M. Maijer ◽  
S.L. Cockcroft ◽  
...  
Keyword(s):  
Electron Beam ◽  
Steady State ◽  
Fluid Model ◽  
Three Dimensional ◽  
Ingot Casting

scholarly journals Multi-scale Eulerian-Lagrangian simulation of a liquid jet in cross-flow under acoustic perturbations

2017 ◽  
Author(s):  
Swann Thuillet ◽  
Davide Zuzio ◽  
Olivier Rouzaud ◽  
Pierre Gajan
Keyword(s):  
Numerical Simulation ◽  
Steady State ◽  
Fluid Model ◽  
Liquid Column ◽  
Pollutant Emissions ◽  
Liquid Jet ◽  
Acoustic Perturbation ◽  
Jet Trajectory ◽  
Two Fluid Model ◽  
Two Fluid

The design of modern aeronautical propulsion systems is constantly optimized to reduce pollutant emissions whileincreasing fuel combustion efficiency. In order to get a proper mixing of fuel and air, Liquid Jets Injected in gaseous Crossflows (LJICF) are found in numerous injection devices. However, should combustion instabilities appear in the combustion chamber, the response of the liquid jet and its primary atomization is still largely unknown. Coupling between an unstable combustion and the fuel injection process has not been well understood and can result from multiple basic interactions.The aim of this work is to predict by numerical simulation the effect of an acoustic perturbation of the shearing air flow on the primary breakup of a liquid jet. Being the DNS approach too expensive for the simulation of complex injector geometries, this paper proposes a numerical simulation of a LJICF based on a multiscale approach which can be easily integrated in industrial LES of combustion chambers. This approach results in coupling of two models: a two-fluid model, based on the Navier-Stokes equations for compressible fluids, able to capture the largest scales of the jet atomization and the breakup process of the liquid column; and a dispersed phase approach, used for describing the cloud of droplets created by the atomization of the liquid jet. The coupling of these two approaches is provided by an atomization and re-impact models, which ensure liquid transfer between the two-fluid model and the spray model. The resulting numerical method is meant to capture the main jet body characteristics, the generation of the liquid spray and the formation of a liquid film whenever the spray impacts a solid wall.Three main features of the LJICF can be used to describe, in a steady state flow as well as under the effect of the acoustic perturbation, the jet atomization behavior: the jet trajectory, the jet breakup length and droplets size and distribution.The steady state simulations provide good agreement with ONERA experiments conducted under the same condi- tions, characterized by a high Weber number (We>150). The multiscale computation gives the good trajectory of the liquid column and a good estimation of the column breakup location, for different liquid to air momentum flux ratios. The analysis of the droplet distribution in space is currently undergoing. A preliminary unsteady simulation was able to capture the oscillation of the jet trajectory, and the unsteady droplets generation responding to the acousticperturbation.DOI: http://dx.doi.org/10.4995/ILASS2017.2017.4697

scholarly journals Ion Acceleration in Multi-Fluid Plasma: Including Charge Separation induced Electric Field Effects in Supersonic Wave Layers

2020 ◽  
Author(s):  
Ross Burrows
Keyword(s):  
Solar Wind ◽  
Steady State ◽  
Electric Field ◽  
Charge Separation ◽  
Fluid Model ◽  
Wave Model ◽  
Small Population ◽  
Ion Acceleration ◽  
Pickup Ions ◽  
Kinetic Effects

The need to understand the process by which particles, including solar wind and coronal ions as well as pickup ions, are accelerated to high energies (ultimately to become anomalous cosmic rays) motivate a multi-fluid shock wave model which includes kinetic effects (e.g. ion acceleration) in an electromagnetically self-consistent framework. Particle reflection at the cross-shock potential leads to ion acceleration in the motional electric field and thus anisotropic heating and pressure in the shock layer, with important consequences for the multi-fluid dynamics. This motivates development of a multi-fluid model of solar wind electrons and ions treated as fluid, coupled self-consistently with a small population of kinetically treated ions (e.g. pickup ions.) Consideration of both the time dependent and steady state regimes, indicate that such a multi-fluid approach is necessary for resolving the, Debye scale, particle reflecting cross-shock potential and subsequent dynamics. To study charge separation effects in narrow, supersonic wave layers we consider a reduction of the system to the steady state for cold ions and hot electrons and find two types of solitary waves inherent to the reduced two-fluid system in this limiting case.

Numerical Modeling for Steady-State Two Phase Flow in Gas-Condensate Pipeline

2014 ◽  
Author(s):  
Zhi Wang ◽  
Jing Gong ◽  
Tienan Yin
Keyword(s):  
Steady State ◽  
Two Phase Flow ◽  
Fluid Model ◽  
Simple Algorithm ◽  
Gas Condensate ◽  
Stability And Convergence ◽  
Phase Flow ◽  
Two Phase ◽  
Steady State Simulation ◽  
Two Fluid

Based on two-fluid approach, a numerical model coupled with phase behavior model and hydro-thermodynamic model, is presented for simulating steady-state two phase flow in gas-condensate pipeline. In this model, two-fluid model is adopted for hydraulic computation and a simplified mixture energy equation is developed to couple hydraulic and thermodynamic calculation. SIMPLE algorithm is improved for application in one-dimensional steady-state simulation of two phase flow. Hydraulic and thermal is coupled as one-way coupling. The model was validated through comparison to field data from five operational gas-condensate pipelines. It turns out that the numerical simulation in this paper has good stability and convergence and is capable of simulating the steady-state flow in gas-condensate pipelines.

A TANDEM FLUID QUEUE WITH GRADUAL INPUT

2002 ◽  
Vol 16 (1) ◽  
pp. 29-45 ◽  
Author(s):  
Werner R.W. Scheinhardt ◽  
Bert Zwart
Keyword(s):  
Steady State ◽  
Content Distribution ◽  
Fluid Model ◽  
Sample Path ◽  
Fluid Queue ◽  
Finite Buffers ◽  
Martingale Methods ◽  
Buffer Content

For a two-node tandem fluid model with gradual input, we compute the joint steady-state buffer-content distribution. Our proof exploits martingale methods developed by Kella and Whitt. For the case of finite buffers, we use an insightful sample-path argument to extend an earlier proportionality result of Zwart to the network case.

scholarly journals Effects of inertia in the steady state pressurised flow of a non-Newtonian fluid between two curvilinear surfaces of revolution: Rabinowitsch fluid model

2011 ◽  
Vol 32 (4) ◽  
pp. 333-349 ◽  
Author(s):  
Udaya Singh ◽  
Ram Gupta ◽  
Vijay Kapur
Keyword(s):  
Fluid Flow ◽  
Steady State ◽  
Pressure Distribution ◽  
Newtonian Fluid ◽  
Flow Rate ◽  
Fluid Model ◽  
Frictional Torque ◽  
Stress Model ◽  
Fluid Flow Rate ◽  
Surfaces Of Revolution

Effects of inertia in the steady state pressurised flow of a non-Newtonian fluid between two curvilinear surfaces of revolution: Rabinowitsch fluid modelIn many practical situations fluids are normally blended with additives (viscosity index improvers, viscosity thickeners, viscosity thinners) due to which they show pseudoplastic and dilatant nature which can be modelled as cubic stress model (Rabinowitsch model). The cubic stress model for pseudoplastic fluids is adopted because Wada and Hayashi have shown that the theoretical results with this model are in good agreement with the experimental results. The present theoretical analysis is to investigate the pseudoplastic effect along with the effect of rotational inertia on the pressure distribution, frictional torque and fluid flow rate of externally pressurised flow in narrow clearance between two curvilinear surfaces of revolution. The expression for pressure has been derived using energy integral approach. To analyse and discuss the effects of pseudoplasticity and fluid inertia on the pressure distribution, fluid flow rate and frictional torque, the examples of externally pressurised flow in the clearance between parallel disks and concentric spherical surfaces have been considered.

scholarly journals Ion Acceleration in Multi-Fluid Plasma: Including Charge Separation Induced Electric Field Effects in Supersonic Wave Layers

Plasma ◽  
2020 ◽  
Vol 3 (3) ◽  
pp. 117-152
Author(s):  
Ross Burrows
Keyword(s):  
Solar Wind ◽  
Steady State ◽  
Electric Field ◽  
Charge Separation ◽  
Fluid Model ◽  
Wave Model ◽  
Small Population ◽  
Ion Acceleration ◽  
Pickup Ions ◽  
Kinetic Effects

The need to understand the process by which particles, including solar wind and coronal ions as well as pickup ions, are accelerated to high energies (ultimately to become anomalous cosmic rays) motivate a multi-fluid shock wave model which includes kinetic effects (e.g., ion acceleration) in an electromagnetically self-consistent framework. Particle reflection at the cross-shock potential leads to ion acceleration in the motional electric field and thus anisotropic heating and pressure in the shock layer, with important consequences for the multi-fluid dynamics. This motivates development of a multi-fluid model of solar wind electrons and ions treated as fluid, coupled self-consistently with a small population of ions (e.g., pickup ions) dynamically treated as individual particles. Consideration of both the time dependent and steady state regimes, indicate that such a multi-fluid approach is necessary for resolving the, Debye scale, particle reflecting cross-shock potential and subsequent dynamics. To study charge separation effects in narrow, supersonic wave layers we consider a reduction of the system to the steady state for cold ions and hot electrons and find two types of solitary waves inherent to the reduced two-fluid system in this limiting case.

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