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Mathematical Model of the Solid Flow Behavior in a Real Dimension Blast Furnace
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering, Applied Process Metallurgy.
2012 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

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. The focus is 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 equation has been modified to make it possible to describe the dual nature of the solid phase in the system. This has been done by applying the concept of the solid surface stress to describe the intergranular surface interactions between particles. More specifically, this term is added as an extra term to the Navier-Stokes equation to describe the particle-particle interactions. This extra term in behave as a breaking force when the particles are sliding down in the furnace. During the descending movement in the furnace it is shown that the particles change their profile from a V-shape to a Wshape, 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 levels of the 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. Furthermore, since different phases co-exist in a blast furnace, the volume fraction plays an important role in the blast furnace. Therefore, the influence of three different packing densities (0.68, 0.71 and 0.74 respectively) on the profile of the flow through the upper part of the blast furnace from the throat to the tuyeres level has been studied. It is shown that an increase in the volume fraction of the solid phase lead to a decrease in the velocity magnitude. This decrease is due to an increase in the solid volume fraction, which will increase the resident time of the particles inside a blast furnace. In addition, it is shown that the velocity magnitude of the solid phase decreases from the throat to the belly of the furnace, for the studied conditions. However, after belly the velocity magnitude increases again.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2012. , xi, 28 p.
National Category
Metallurgy and Metallic Materials
Identifiers
URN: urn:nbn:se:kth:diva-106271OAI: oai:DiVA.org:kth-106271DiVA: diva2:573650
Presentation
2012-12-04, Sefström konferensrum, Brinellvägen 23, KTH, Stockholm, 10:00 (English)
Opponent
Supervisors
Note

QC 20121204

Available from: 2012-12-04 Created: 2012-12-03 Last updated: 2013-10-30Bibliographically approved
List of papers
1. Mathematical Model of Solid Flow Behavior in a Real Dimension Blast Furnace
Open this publication in new window or tab >>Mathematical Model of Solid Flow Behavior in a Real Dimension Blast Furnace
2013 (English)In: ISIJ International, ISSN 0915-1559, E-ISSN 1347-5460, Vol. 53, no 6, 979-987 p.Article in journal (Refereed) Published
Abstract [en]

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.

Keyword
mathematical modeling, blast furnace, solid flow, Navier-Stokes equation, surface stress tensor, effective pressure
National Category
Metallurgy and Metallic Materials
Identifiers
urn:nbn:se:kth:diva-125780 (URN)10.2355/isijinternational.53.979 (DOI)000320973600007 ()2-s2.0-84881319205 (Scopus ID)
Note

QC 20130814. Updated from "Submitted" to "Published"

Available from: 2013-08-14 Created: 2013-08-13 Last updated: 2017-12-06Bibliographically approved
2. A mathematical model of the solid flow behavior in a real dimension blast furnace: Effects of the solid volume fraction on the velocity profile
Open this publication in new window or tab >>A mathematical model of the solid flow behavior in a real dimension blast furnace: Effects of the solid volume fraction on the velocity profile
2013 (English)In: Steel Research International, ISSN 1611-3683, E-ISSN 1869-344X, Vol. 84, no 10, 999-1010 p.Article in journal (Refereed) Published
Abstract [en]

A mathematical model based on the continuum mechanic concept has been developed to describe the profile of solid particles in a blast furnace with respect to the in-furnace conditions and characteristics, e.g., 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 equation has been modified to make it possible to describe the dual nature of the solid phase in the system by applying the concept of the solid surface stress to characterize the inter-granular surface interactions between particles. Since different phases co-exist in a blast furnace, the volume fraction plays an important role in a blast furnace. Therefore, the influence of three different packing densities (0.68, 0.71, and 0.74, respectively) on the profile of the flow in the upper part of a furnace down to the tuyeres level has been studied. It is shown that an increase in the volume fraction of the solid phase lead to a decrease in magnitude of the velocity. The decrease in the magnitude of the velocity due to an increase in the solid volume fraction will increase the resident time of the particles inside a blast furnace. In addition, it is shown that the solid phase velocity magnitude decreases from the throat to the belly of the furnace for the studied conditions. However, after belly the velocity magnitude increases.

Keyword
mathematical modeling, blast furnace, solid flow, Navier-Stokes equation, volume fraction, resident time
National Category
Metallurgy and Metallic Materials
Identifiers
urn:nbn:se:kth:diva-106635 (URN)10.1002/srin.201200283 (DOI)000325367600010 ()2-s2.0-84885430950 (Scopus ID)
Note

QC 20131128. Updated from submitted to published.

Available from: 2012-12-04 Created: 2012-12-04 Last updated: 2017-12-07Bibliographically approved

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