scholarly journals Numerical modeling of subsonic axisymmetric reacting gas flows

2021 ◽  
Vol 2057 (1) ◽  
pp. 012071
Author(s):  
E E Peskova
Keyword(s):  
Heat Supply ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Gas Flows ◽  
Pyrolysis Products ◽  
Navier Stokes Equations ◽  
Model Calculations ◽  
Plane Flow ◽  
Physicochemical Processes ◽  
Low Mach Number Limit

Abstract A numerical algorithm is developed and implemented for modelling axisymmetric subsonic reacting gas flows based on a previously created program for plane flows. The system of Navier-Stokes equations in the low Mach number limit is used as a mathematical model. Calculations of ethane pyrolysis for axisymmetric and plane flow of mixture at heat supply from the reactor’s walls are carried out. Through the interplay of the developed code and the code for plane flows it becomes possible to identify the geometric factor role at the presence of a large number of nonlinear physicochemical processes. We found that diffusion of synthesized molecular hydrogen mainly influences heat supply from the reactor’s walls to gas and pyrolysis products distribution along its length.

scholarly journals FIRST PROJECTION OF THE EQUATION OF MOTION IN THE CYLINDRICAL COORDINATE SYSTEM

2016 ◽  
pp. 90-92
Author(s):  
A. G. Obukhov ◽  
R. E. Volkov
Keyword(s):  
Coordinate System ◽  
Stokes Equations ◽  
Equation Of Motion ◽  
Cylindrical Coordinate System ◽  
Navier Stokes ◽  
Gas Flows ◽  
Heat Conducting ◽  
Complex Flows ◽  
Navier Stokes Equations ◽  
Cylindrical Coordinate

It is proved that complex flows of the viscous compressible heat-conducting gas, arising during heating the vertical field, have a pronounced axial symmetry. Therefore, for the numerical solution of the full Navier-Stokes equations for description of such gas flows it are advisable to use a cylindrical coordinate system. This paper describes the transformation of the first projection of the equation of motion of the full Navier-Stokes equations system. The result of the transformation is a record of the first projection of the equation of a continuous medium motion in the cylindrical coordinate system.

scholarly journals On the Low Mach Number Limit for Quantum Navier--Stokes Equations

2020 ◽  
Vol 52 (6) ◽  
pp. 6105-6139
Author(s):  
Paolo Antonelli ◽  
Lars Eric Hientzsch ◽  
Pierangelo Marcati
Keyword(s):  
Mach Number ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Low Mach Number ◽  
Low Mach Number Limit

A CFD Model for Real Gas Flows

2000 ◽  
Author(s):  
Carlo Cravero ◽  
Antonio Satta
Keyword(s):  
Numerical Solutions ◽  
Turbulence Modeling ◽  
Stokes Equations ◽  
Fluid Model ◽  
Industrial Applications ◽  
Navier Stokes ◽  
Gas Flows ◽  
Navier Stokes Equations ◽  
Real Fluid ◽  
Solution Methods

Numerical solutions of Navier-Stokes equations are nowadays widely used for several industrial applications in different fields (aerodynamic, propulsion, naval, combustion, etc..), but the solution methods still require significant improvements especially in two aspects: turbulence modeling and fluid modeling. The paper describes in some detail a real fluid model based on Redlich-Kwong-Aungier equation of state and its implementation into a Navier-Stokes solver developed by the authors for turbomachinery flows analysis.

scholarly journals THREE-DIMENSIONAL INSTANTANEOUS STREAMLINESOF GAS FLOWS FOR SIMULATION THE STEADY-STATE OUTPUT OF AN ARTIFICIAL TORNADO

2018 ◽  
pp. 71-76
Author(s):  
R. E. Volkov ◽  
A. G. Obukhov
Keyword(s):  
Steady State ◽  
Stokes Equations ◽  
Complete System ◽  
Three Dimensional ◽  
Unsteady Flows ◽  
Navier Stokes ◽  
Gas Flows ◽  
Heat Conducting ◽  
Navier Stokes Equations ◽  
Coriolis Forces

The method of parallelizing a numerical solution of the complete system of Navier - Stokes equations is used to describe three-dimensional unsteady flows of a viscous compressible heat-conducting gas in ascending swirling flows. In this case the action of gravity and Coriolis forces is taken into account, and the coefficients of viscosity and thermal conductivity are assumed to be constant. The results of the numerical construction of instantaneous streamlines characterizing complex three-dimensional flows are presented for simulation the steady-state output of an ascend-ing swirling air flow in an artificial tornado.

Control Of Processes Of Ignition And Combustion Stabilization In The Supersonic Combustion Chamber

2016 ◽  
Vol 11 (2) ◽  
pp. 46-55
Author(s):  
Olga Vankova ◽  
Marat Goldfeld ◽  
Natalya Fedorova
Keyword(s):  
Combustion Chamber ◽  
Stokes Equations ◽  
High Energy ◽  
Supersonic Combustion ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Model Calculations ◽  
Detailed Chemistry ◽  
Sst Turbulence Model ◽  
The Stability

In the paper, results of mathematical modeling of a flow in the supersonic combustion chamber are presented, which have been performed under the conditions of burning initiation by means of an electronic bunch of high energy on the basis of the offered ignition model. Calculations are carried out on the basis of the Reynolds averaged Navier – Stokes equations supplemented by the k–ω SST turbulence model and detailed chemistry kinetics. As a result of numerical modeling, it has been shown that in a frame of the offered model it is possible to predict the ignition of mixture at low stagnation temperatures. The numerical results confirm the experimental data. It is shown that the choice of the optimum scheme of stabilization and the stabilizer geometry allows one to get the flame propagation over all the channel and to provide the stability of combustion even at high flow Mach numbers. The offered mathematical model has allowed defining the conditions of ignition

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