Research of interaction of a natural and forced convection in a vortex chamber of the chemical reactor

А В Шваб ,Natalia I Gicheva,В Н Брендаков

doi:10.1051/matecconf/20179201016

Abstract

In this paper, a chemical reactor for producing refractory metals was considered. A physical and mathematical model of fluid motion and heat transfer in a vortex chamber of the chemical reactor under forced and free convection has been described and simulated. The numerical simulation was carried out in “velocity–pressure” variables by using an alternating direction implicit scheme. The velocity field and the temperature distribution in the reactor were obtained. Parametric studies on effects of the Reynolds, Prandtl and Rossbi criteria on the flow characteristics were also performed. The graphs presented show that natural convection has a significant impact on the hydrodynamics of the flow and intensifies the heat transfer. Reliability of the calculations was verified by comparing the results obtained by another method

Highlights

In this paper, a chemical reactor for producing refractory metals was considered
Modeling of viscous gas dynamics and heat transfer is considered in a vortex chamber that present a cylindrical chamber (See Fig. 1)
The carrier gas flow having axial velocity U0 and temperature T0 enters from the pipe along the axis above, flows over the rotating disk and exits through the annular channel at the periphery of the top of the vortex chamber

Summary

Problem statement

Modeling of viscous gas dynamics and heat transfer is considered in a vortex chamber that present a cylindrical chamber (See Fig. 1). The carrier gas flow having axial velocity U0 and temperature T0 enters from the pipe along the axis above, flows over the rotating disk and exits through the annular channel at the periphery of the top of the vortex chamber. Part of the bottom wall is maintained at a temperature T1, and other walls including a small surface at the periphery of the bottom wall of the chamber are considered as heat-insulated. The dimensionless form of equations is obtained by using the following scales: vortex chamber radius R0, axial velocity at the input U0, density at the input ρ0 and the maximum temperature difference T1-T0. The following notations are introduced: u is radial velocity component, v is peripheral velocity component and w is axial velocity component

Numerical calculations

Conclusions