Mathematical Model of Solid Flow Behavior in a Real Dimension Blast Furnace

Abstract

A mathematical model based on the continuum mechanic concept has been developed to describe the profile of solid particles in an industrial scale blast furnace with respect to the in-furnace conditions and its characteristics such as the shape and size of the deadman. The Navier-Stokes differential equation for multi-phase multi-dimensional space has been used to describe the behavior of existing phases. The surface stress tensor has been defined as an extra term and added to the Navier-Stokes equation to describe the particle-particle interactions. This extra term in the Navier-Stokes equation behave as a breaking force when the particles are sliding down. It is shown that the particles change their profile from a V-shape to a W-shape due to the characteristics of the deadman. Moreover, the velocity magnitude is higher at the outer surface of the deadman for higher grid-slabs in this region than the near-wall cells. However, the situation changes as solid particles moving to even lower level of grid-slabs at the outer surface of the deadman in comparison to near-wall cells. It has also been shown that an increase in the magnitude of the effective pressure reduces the velocity magnitude of descending particles.

Effect of High Reactivity Coke for Mixed Charge in Ore Layer on Reaction Behavior of Each Particle in Blast Furnace

“…41) For fluids, the well-known Semi-Implicit Method for PressureLinked Equations (SIMPLE) scheme 42) was used to solve Eqs. (3), (4), (8), and (12) and the conservation of momentum, energy, and mass for a fluid cell. Each term was discretized with second-order accuracy.…”

“…At present, this method can predict the change in the melting zone from the temperature distribution. 7) Although there have been considerable researches focused on burden distribution modeling, 8,9) calculating the discrete inter-particle stress using the E-E method is too complicated. Using the Euler-Lagrange (E-L) method is much easier; 10) this approach can generate transport equations of an individual solid particle.…”

Review on Modeling and Simulation of Blast Furnace

“…This simplified model does not accurately predict the quasi‐stagnant zone, which is associated with the strong inter‐particle friction and should be described by a more complicated model, as shown by Zhang et al On the other hand, it is superior to the early potential, kinematic, or viscous model and is simple to be included in a process model. Recently, Nick et al extended the model of Zhang et al from 2D to 3D.…”

Mathematical Model of Gas, Powder and Bed Flow in Metallurgical Shaft Furnaces

“…Present development of laboratory equipment and numerical methods are the means to obtain the data easily with the use of physical and mathematical modeling of the metallurgical processes. numerous investigations which help to study the processes inside metallurgical reactors carried out with mathematical modeling have been described in literature [2][3][4][5][6][7][8][9].…”