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Application of inverse method to heat conduction with chemical process on the boundary
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering.
2007 (English)Doctoral thesis, comprehensive summary (Other scientific)
Place, publisher, year, edition, pages
Stockholm: KTH , 2007. , vii, 64 p.
Series
KTH/MSE, 2007:63
Keyword [en]
inverse problems, heat transfer, mass transfer, reheating, scale formation
National Category
Metallurgy and Metallic Materials
Identifiers
URN: urn:nbn:se:kth:diva-4575ISBN: 978-91-7178-811-5 (print)OAI: oai:DiVA.org:kth-4575DiVA: diva2:12939
Public defence
2007-12-18, Sal B2, KTH, Brinellvägen 23, Stockholm, 10:00
Opponent
Supervisors
Note
QC 20100823Available from: 2007-12-12 Created: 2007-12-12 Last updated: 2010-08-23Bibliographically approved
List of papers
1. Estimation of the transient surface temperature and heat flux of a steel slab using an inverse method
Open this publication in new window or tab >>Estimation of the transient surface temperature and heat flux of a steel slab using an inverse method
2007 (English)In: Applied Thermal Engineering, ISSN 1359-4311, E-ISSN 1873-5606, Vol. 27, no 14-15, 2463-2472 p.Article in journal (Refereed) Published
Abstract [en]

In the steel industry it is of great importance to be able to control the surface temperature and heating- or cooling rates during heat treatment processes. An experiment was performed in which a steel slab was heated up to 1250 degrees C in a fuel fired test furnace. The transient surface temperature and heat flux of a steel slab is calculated using a model for inverse heat conduction. That is, the time dependent local surface temperature and heat flux of a slab is calculated on the basis of temperature measurements in selected points of its interior by using a model of inverse heat conduction. Time- and temperature histories were measured at three points inside a steel slab. Measured temperature histories at the two lower locations of the slab were used as input to calculate the temperature at the position of the third location. A comparison of the experimentally measured and the calculated temperature histories was made to verify the model. The results showed very good agreement and suggest that this model can be applied to similar applications in the Steel industry or in other areas where the target of investigation for some reason is inaccessible to direct measurements.

Keyword
Heat transfer; Heat treatment; Inverse heat conduction; Slab; Steel processing; Heat conduction; Heat flux; Heat treatment; Iron and steel industry; Steel; Inverse heat conduction; Slab; Steel processing; Surface temperature; Temperature measurement
National Category
Metallurgy and Metallic Materials
Identifiers
urn:nbn:se:kth:diva-7804 (URN)10.1016/j.applthermaleng.2007.02.005 (DOI)000247865200015 ()2-s2.0-34248400756 (Scopus ID)
Note
QC 20100823Available from: 2007-12-12 Created: 2007-12-12 Last updated: 2010-11-24Bibliographically approved
2. Estimation of the transient surface temperature, heat flux and effective heat transfer coefficient of a slab in an industrial reheating furnace by using an inverse method
Open this publication in new window or tab >>Estimation of the transient surface temperature, heat flux and effective heat transfer coefficient of a slab in an industrial reheating furnace by using an inverse method
2007 (English)In: Steel Research International, ISSN 1611-3683, Vol. 78, no 1, 63-70 p.Article in journal (Refereed) Published
Abstract [en]

In the steel industry it is of great importance to be able to control the surface temperature and heating or cooling rates during heat treatment processes. In this paper, a steel slab is heated up to 1300 degrees C in an industrial reheating furnace and the temperature data are recorded during the reheating process. The transient local surface temperature, heat flux and effective heat transfer coefficient of the steel slab ares calculated using a model for inverse heat conduction. The calculated surface temperatures are compared with the temperatures achieved by using a model of the heating process with the help of the software STEELTEMP (R) 2D. The results obtained show very good agreement and suggest that the inverse method can be applied to similar high temperature applications with very good accuracy.

Keyword
Heat transfer; Heat treatment; Ill-posed problems; Inverse heat conduction; Reheating furnace; Heat conduction; Heat flux; Heat transfer; Heat treating furnaces; Heat treatment; Mathematical models; Ill-posed problems; Inverse heat conduction; Reheating furnaces; Iron and steel industry
National Category
Metallurgy and Metallic Materials
Identifiers
urn:nbn:se:kth:diva-7805 (URN)000244328000010 ()2-s2.0-33846870559 (Scopus ID)
Note
QC 20100823Available from: 2007-12-12 Created: 2007-12-12 Last updated: 2010-08-23Bibliographically approved
3. A study on oxide scale formation of low-carbon steel using thermo gravimetric technique
Open this publication in new window or tab >>A study on oxide scale formation of low-carbon steel using thermo gravimetric technique
2008 (English)In: Ironmaking and Steelmaking, ISSN 0301-9233, Vol. 35, no 8, 621-632 p.Article in journal (Refereed) Published
Abstract [en]

The aim of this paper was to investigate the effect of oxygen content and temperature on the formation of oxide scales of four different steel grades. Thermo gravimetric experiments were carried out. Small samples of low carbon steels with different compositions were exposed to a gas containing a certain amount of oxygen and at temperatures in the range of 1373-1623 K. The mass gain of the steel sample was recorded. On the basis of the oxidation curves, the parabolic rate constants were reported. Post-experimental investigation of the samples was performed using scanning electron microscope and light optical microscope techniques. The results were compared with the scanning electron microscopy graphs of the steel samples taken from the real industrial reheating furnace.

Keyword
Oxidation; Reheating; Scale formation; Carbon steel; Chemical oxygen demand; Furnaces; Microscopes; Microscopic examination; Oxidation; Oxygen; Rate constants; Scale (deposits); Scanning; Scanning electron microscopy; Superconducting wire; Effect of oxygens; Experimental investigations; Gravimetric techniques; Low carbon steels; Mass gains; Optical microscopes; Oxide scale formations; Oxide scales; Parabolic rate constants; Reheating; Reheating furnaces; Scale formation; Scanning electron microscopes; Small samples; Steel grades; Steel samples
National Category
Metallurgy and Metallic Materials
Identifiers
urn:nbn:se:kth:diva-7806 (URN)10.1179/174328108X369116 (DOI)000261735800007 ()2-s2.0-55849139026 (Scopus ID)
Note
QC 20100823. Uppdaterad från Submitted till Published 20100823.Available from: 2007-12-12 Created: 2007-12-12 Last updated: 2010-08-23Bibliographically approved
4. The influence of oxide scale on heat transfer during reheating of steel
Open this publication in new window or tab >>The influence of oxide scale on heat transfer during reheating of steel
2008 (English)In: Steel Research International, ISSN 1611-3683, Vol. 79, no 10, 765-775 p.Article in journal (Refereed) Published
Abstract [en]

The present work presents methodology and development of a mathematical model for prediction of the influence of oxide scale on heat transfer during reheating of steel in an industrial furnace. In this developed model, temperatures inside the steel billet were measured and with thermocouples at selected places and were collected by a water cooled computer that was traveling inside the slab. CFD is used to calculate the flow field inside of a furnace. The mass-transfer coefficient of the scale formation is obtained by solving the convection mass-diffusion equation across a boundary layer to the surface of a flat plate. A model for inverse heat conduction is employed to calculate the local surface temperature and heat flux on top of the growing oxide scale layer on a slab moving through a walking beam reheating furnace. By using the inverse method, the transient temperature and heat flux was firstly determined on the surface of the steel. During subsequent computations, the growth of the scale was calculated and the surface temperature of the oxide scale was extracted by using the Cauchy data from the previous calculations. The sensibility of the model on steel physical parameters is studied, and suitable parameters were obtained for heating a low carbon steel plate in the reheating furnace. Results show that the oxide scale layer should not be neglected in reheating models.

Keyword
Inverse heat conduction; Mass transfer; Oxide scale formation; Atmospheric temperature; Billets (metal bars); Carbon steel; Furnaces; Heat conduction; Heat exchangers; Heat flux; Heat transfer; Heating equipment; Heating furnaces; Industrial furnaces; Inverse problems; Mass transfer; Steel; Surface properties; Thermoanalysis; Cauchy datums; Developed models; Flat plates; Inverse heat conduction; Inverse heat conductions; Inverse methods; Local surfaces; Low carbon steel plates; Mass-transfer coefficients; Oxide scale formation; Oxide scales; Physical parameters; Reheating furnaces; Scale formations; Steel billets; Surface temperatures; Transient temperatures; Walking beams; Scale (deposits)
National Category
Metallurgy and Metallic Materials
Identifiers
urn:nbn:se:kth:diva-7807 (URN)10.2374/SRI08SP009 (DOI)000261160100006 ()2-s2.0-55149120943 (Scopus ID)
Note
QC 20100823. Uppdaterad från Submitted till Published 20100823.Available from: 2007-12-12 Created: 2007-12-12 Last updated: 2010-08-23Bibliographically approved

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Citation style
  • apa
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Output format
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