Analytical model for the non-premixed combustion of the titanium dust cloud in counter-flow geometry

Document Type : Research Article

Authors

1 Aerospace department,Faculty of Mechanic,science and technology university of iran,Tehran,Iran

2 Mechanic department,Faculty of Mechanic,science and technology university of iran,Tehran,Iran

Abstract

Today, the issue of achieving high-efficiency energy is important in various industries. The study of metal particle combustion is very important due to its increasing applications. Among these applications, it is possible to produce particle oxides with various applications, high energy density as a result of the increase in temperature due to combustion, medical applications, etc. In this paper, the analytical model of titanium dust particle combustion in the counter-flow configuration with a multi-zone approach was investigated. The governing equations, consist of mass and energy conservation was expressed and became dimensionless using dimensionless parameters and solved by using appropriate boundary and jump conditions in Matlab and Mathematica software. After solving the equations, the distribution of temperature and mass fraction of the components was presented and the effect of some important parameters such as Lewis number and mass particle concentration was investigated. It was observed that with increasing Lewis number from 0.6 to 1.4 at 300 g/m3, the flame temperature decreased from 3600 K to 3050 K, also the reduction of mass diffusion caused the flame position to be transferred to the oxidizer nozzle. Also with an increasing particle diameter of fuel from 2μm to 200μm, the temperature and position of the flame were shifted from 3600 K and -1.8 mm to 3400 K and -1 mm, respectively.

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