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

作者：Nick Reza Safavi^*; Tilliander Anders; Jonsson Tord Lage Ingemar; Jonsson Par Goran

来源：ISIJ International, 2013, 53(6): 979-987.

DOI：10.2355/isijinternational.53.979

• mathematical modeling
• blast furnace
• solid flow
• Navier-Stokes equation
• surface stress tensor
• effective pressure

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.

• 出版日期2013