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Modelling Approaches of Multiphase Phenomena Focusing on an Integrated Steelmaking Route
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering, Process.ORCID iD: 0000-0003-4874-8483
2023 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Improvements in numerical methods and developments of computer hardware brought attention to the modelling of metallurgical processes. This has been a critical step in understanding in-furnace conditions throughout the ironmaking and steelmaking process since it is, if not impossible, extremely difficult to conduct measurements during the process.

With the introduction of mathematical models, attention has been on the computational fluid dynamics (CFD) modelling of each process to try to shed light on the furnaces’ interior operations. Moreover, most of these processes fall into the category of a multiphase system where different phases of material interact with each other. For example, in a blast furnace shaft, solid particles descend into the furnace while the blast pushes gas through the packed bed; during the desulphurization process, a powder material is injected into the hot metal by means of inert gas; in the ladle station, the steel cleanness is achieved by means of gas and/or induction stirring.

Each of these processes has been the focus of a number of studies where the processes have been modelled using different methods namely, fully Eulerian or Eulerian-Lagrangian methods mostly for solid-fluid systems and Volume-of-Fluid (VOF) or VOF-Lagrangian for liquid-liquid or liquid-gas systems. However, there have been fewer studies where the investigations focused on which of these methods is best fitted for a specific process and why. Thus, the current study has been trying to fill this gap to give an overview of the integrated steelmaking route modelling approaches with a focus on the usability of models in the frame of results and computational efforts for the industry.

This study goes through the integrated steelmaking route by looking at solid particles flow in the blast furnace, desulphurization of the hot metal produced by blast furnaces and the ladle refining process where a novel stirring strategy is introduced. Then, the focus turns on one of the most common by-products of the steelmaking process namely, the slag. This is due to the fact that the steelmaking slag contains a substantial amount of energy. However, there has been lesser effort in the utilization of such energy. The recent global greenhouse gas reduction initiative has brought significant attention to different aspects of steelmaking processes with respect to socio-economic development in combination with governmental policies. Hence, the study investigates the utilization of deposited energy within the steelmaking slag by means of a heat exchanger to answer the calls for a greener industry.

In the end, the current study recommended to use the Eulerian modelling approach to model solid-fluid interactions in a blast furnace and powder injection into a liquid bath in a sulphur refining station. Furthermore, it is suggested that it can be advantageous to use the Volume-of-Fluid modelling approach to model liquid-gas interactions during the ladle refining process. Finally, it is recommended to use the reduced single-phase model for the conjugate heat transfer mdoelling to predict the static liquid energy dissipation in a slag heat recovery station.

Abstract [sv]

Förbättringar av numeriska metoder och utveckling av datorhårdvara har möjliggjort modellering av metallurgiska processer. Detta har varit ett kritiskt steg för att förstå förhållanden i ugnen under hela järn- och ståltillverkningsprocesserna eftersom det är, om inte omöjligt, extremt svårt att utföra mätningar under processerna.

I och med introduktionen av matematiska modeller har man fokuserat på modelleringen av varje enskild process för att öka kunskapen om driften av processen. Dessutom så tillhör de flesta av dessa processer kategorin flerfassystem, där olika materialfaser samverkar med varandra. Till exempel, i ett masugnsschakt så sjunker fasta partiklar ner i ugnen medan den varma gasen stiger upp genom den packade bädden; under avsvavlingsprocessen injiceras ett pulvermaterial i smältan med hjälp av en inert gas; i skänkstationen uppnås stålets renhet med hjälp av gas- och/eller induktionsomrörning.

Var och en av dessa processer har varit fokus för ett antal studier där processerna har modellerats med användande av olika metoder, nämligen helt Eulerian eller Eulerian-Lagrangian metoder som främst använts för fast fas-fluid system och Volume-of-Fluid (VOF) eller VOF-Lagrangian metoder för vätske-vätske-system eller vätske-gas-system. Det har dock publicerats färre studier där undersökningarna fokuserat på vilken av dessa metoder som är bäst lämpad för en specifik process och orsakerna till detta. Således har den aktuella studien försökt fylla denna lucka genom att ge en överblick över de metoder som används för att modellera en integrerad ståltillverkningsprocess med fokus på användbarheten av modeller för applikationer i industrin.

Denna studie går igenom den integrerade ståltillverkningsvägen genom att titta på flödet av fasta partiklar i masugnen, avsvavling av järnsmältan som produceras i masugnar och skänkraffineringsprocessen där en ny omrörningsstrategi introduceras. Därefter så fokuserar avhandlingen på en av de vanligaste biprodukterna från ståltillverkningsprocessen, nämligen slaggen. Detta beror på att stålslagger innehåller en avsevärd energimängd och att endast få försök har gjorts att utnyttja denna energi. Det nyligen genomförda globala initiativet för att åstadkomma en minskning av växthusgaser har väckt stor uppmärksamhet gällande olika aspekter av ståltillverkningsprocesser med avseende på en socioekonomisk utveckling i kombination med statlig policier. Därför undersöker studien utnyttjandet av energin i ståltillverkningsslaggen med hjälp av en värmeväxlare för att svara upp mot kraven att skapa en grönare industri.

Resultaten av denna studie visar att det är mest fördelaktigt att använda Eulerian metoden för att modellera fast-vätskesystem i en masugn och pulverinjektion i en smälta i en svavelraffineringsstation. Dessutom är det fördelaktigt att använda Volume-of-Fluid metoden för att modellera vätske-gas-interaktioner som sker under skänkraffineringsprocessen. Slutligen rekommenderas det att använda den reducerade enfasmodellen för att beräkna den statiska smältenergiförlusten i en process för att återvinna värme från slagg.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2023. , p. 115
Series
TRITA-ITM-AVL ; 2023:4
National Category
Metallurgy and Metallic Materials
Research subject
Materials Science and Engineering
Identifiers
URN: urn:nbn:se:kth:diva-324444ISBN: 978-91-8040-473-0 (print)OAI: oai:DiVA.org:kth-324444DiVA, id: diva2:1740715
Public defence
2023-03-24, Sefström / https://kth-se.zoom.us/j/61097515525, Brinellvägen 23, Stockholm, 10:00 (English)
Opponent
Supervisors
Available from: 2023-03-02 Created: 2023-03-01 Last updated: 2023-03-22Bibliographically approved
List of papers
1. Mathematical Modelling of Desulphurisation of Raw Iron by Powder Injection in a Ladle
Open this publication in new window or tab >>Mathematical Modelling of Desulphurisation of Raw Iron by Powder Injection in a Ladle
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(English)Manuscript (preprint) (Other academic)
Abstract [en]

The current study has investigated the particles profile of the SSAB Luleå ladle in the sulfur refining station. The study has modeled the particles using the passive scalar transport concept where the buoyancy force is manually coded.

The study suggest that increase in the number of ports from two (current set up) to four with the same material feeding rate will distribute the particles more evenly into the bath. Moreover, the study also suggests that positioning the lance at the bottom of the ladle, while the lance has only two jet ports similar to the current practice, will produce rather similar particle distribution at the upper region of the domain. The study shows a practical benefit of positioning the lance at the bottom of the ladle can be the residence time of the particles and elimination of stagnant zone below the lance in normal operation. Finally, the study shows that activating the porous plug will result in an asymmetrical profile.

The simulation suggested that this asymmetrical behaviour is not affecting the distribution profile of the particles in region around the lance but the magnitude. Furthermore, the model seems to suggest that the number of particles in zones below the lance on either side is three orders of magnitude larger than the reference case while the profiles of these zones are rather similar to the reference case. Furthermore, in the case of zone immediately below the lance, the profiles seem to behave rather differently on different side of the porous plug while in case of zone in front of it the profiles are very similar but with a slight difference in the magnitude.

National Category
Metallurgy and Metallic Materials
Identifiers
urn:nbn:se:kth:diva-324080 (URN)
Note

QC 20230330

Available from: 2023-02-20 Created: 2023-02-20 Last updated: 2023-03-30Bibliographically approved
2. Towards Greener Industry: Modelling of Slag Heat Recovery
Open this publication in new window or tab >>Towards Greener Industry: Modelling of Slag Heat Recovery
2021 (English)In: Metals, E-ISSN 2075-4701, Vol. 11, no 7, article id 1144Article in journal (Refereed) Published
Abstract [en]

The steel industry, in accordance with the momentum of greener industry, has welcomed the changes and is actively pursuing that objective. One such activity is the commitment to energy recovery from by-products such as slag since the average energy content of ferrous slags is around 1 to 2 GJ/t(slag). The recovered energy could, then, be used in heating or drying process among others. The RecHeat was designed and modelled iteratively to achieve an optimised heat recovery apparatus. The model shows that the temperature of different sections of the heat exchanger part varies from 170 to 380 degrees C after slag pouring while the average air temperature at the entrance of the heat exchanger is less than 150 degrees C. Furthermore, the temperature of the fluid medium changes from 125-140 degrees C to 260-340 degrees C from one end of the heat exchanger part to the other at the end of the simulation. The outlet temperature at the end of the simulation is calculated to be around 340 degrees C, which shows an increase by at least 200 degrees C in the temperature of the air entering the apparatus.

Place, publisher, year, edition, pages
MDPI AG, 2021
Keywords
mathematical modelling, computational fluid dynamic, slag heat recovery, heat exchanger, drying, slag energy content, heat recovery technology, RecHeat
National Category
Metallurgy and Metallic Materials
Identifiers
urn:nbn:se:kth:diva-324073 (URN)10.3390/met11071144 (DOI)000676530600001 ()2-s2.0-85110635339 (Scopus ID)
Note

QC 20230329

Available from: 2023-02-20 Created: 2023-02-20 Last updated: 2023-03-30Bibliographically approved
3. Mathematical modelling of novel combined stirring method during the final stage of ladle refining
Open this publication in new window or tab >>Mathematical modelling of novel combined stirring method during the final stage of ladle refining
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2023 (English)In: Ironmaking & steelmaking, ISSN 0301-9233, E-ISSN 1743-2812, Vol. 50, no 7, p. 721-733Article in journal (Refereed) Published
Abstract [en]

A novel horizontal stirring has been introduced to investigate the effect of such a stirring on the ladle profile during the combined stirring process at the refining stage. The multiphaseInterFoam solver has been updated to consider the induction forces imposed on the liquid bath by the magnetic stirrer.During the combined stirring stage, the gas plume is affected by the rotational movement. The gas plume seems to be intact in the lower one-third of the domain, then breaks into clusters in the upper section while the rotational movement of clusters dissipates a large portion of upward momentum of the bubbles. This prevents large openings in the slag layer and respectively, prevents the exposure of steel. It also disperses the bubbles to various sections of the ladle. Hence, such a novel stirring strategy seems to have the potential of improving the cleanness of the liquid steel during the ladle refining process.

Place, publisher, year, edition, pages
SAGE Publications, 2023
National Category
Metallurgy and Metallic Materials
Identifiers
urn:nbn:se:kth:diva-324072 (URN)10.1080/03019233.2022.2163072 (DOI)000919737200001 ()2-s2.0-85147036671 (Scopus ID)
Note

QC 20230328

Available from: 2023-02-20 Created: 2023-02-20 Last updated: 2025-03-27Bibliographically approved
4. 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, p. 999-1010Article 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.

Keywords
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: 2024-03-15Bibliographically approved
5. 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, p. 979-987Article 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.

Keywords
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: 2024-03-15Bibliographically approved

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