A mathematical model of a slab reheating furnace with radiative heat transfer and non-participating gaseous media
A mathematical model of the reheating process of steel slabs in industrial fuel-fired furnaces is developed. The transient temperature field inside the slabs is computed by means of the Galerkin method. Radiative heat transfer inside the furnace constitutes boundary conditions that couple the dynami...
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| Veröffentlicht in: | International journal of heat and mass transfer 2010-12, Vol.53 (25), p.5933-5946 |
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| container_issue | 25 |
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| container_title | International journal of heat and mass transfer |
| container_volume | 53 |
| creator | Steinboeck, A. Wild, D. Kiefer, T. Kugi, A. |
| description | A mathematical model of the reheating process of steel slabs in industrial fuel-fired furnaces is developed. The transient temperature field inside the slabs is computed by means of the Galerkin method. Radiative heat transfer inside the furnace constitutes boundary conditions that couple the dynamic subsystems of the slabs. Constraining the heat fluxes to piecewise linear, discontinuous signals furnishes a discrete-time state-space system. Conditions for an exponential decrease of the open-loop control error are derived. Measurements from an instrumented slab in the real system demonstrate the accuracy of the model. The simple and computationally inexpensive model is suitable for trajectory planning, optimization, and controller design. |
| doi_str_mv | 10.1016/j.ijheatmasstransfer.2010.07.029 |
| format | Article |
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The transient temperature field inside the slabs is computed by means of the Galerkin method. Radiative heat transfer inside the furnace constitutes boundary conditions that couple the dynamic subsystems of the slabs. Constraining the heat fluxes to piecewise linear, discontinuous signals furnishes a discrete-time state-space system. Conditions for an exponential decrease of the open-loop control error are derived. Measurements from an instrumented slab in the real system demonstrate the accuracy of the model. The simple and computationally inexpensive model is suitable for trajectory planning, optimization, and controller design.</description><identifier>ISSN: 0017-9310</identifier><identifier>EISSN: 1879-2189</identifier><identifier>DOI: 10.1016/j.ijheatmasstransfer.2010.07.029</identifier><identifier>CODEN: IJHMAK</identifier><language>eng</language><publisher>Kidlington: Elsevier Ltd</publisher><subject>Applied sciences ; Exact sciences and technology ; Galerkin method ; Iron and steel making ; Metals. 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The transient temperature field inside the slabs is computed by means of the Galerkin method. Radiative heat transfer inside the furnace constitutes boundary conditions that couple the dynamic subsystems of the slabs. Constraining the heat fluxes to piecewise linear, discontinuous signals furnishes a discrete-time state-space system. Conditions for an exponential decrease of the open-loop control error are derived. Measurements from an instrumented slab in the real system demonstrate the accuracy of the model. The simple and computationally inexpensive model is suitable for trajectory planning, optimization, and controller design.</description><subject>Applied sciences</subject><subject>Exact sciences and technology</subject><subject>Galerkin method</subject><subject>Iron and steel making</subject><subject>Metals. Metallurgy</subject><subject>Open-loop control</subject><subject>Production of metals</subject><subject>Radiative heat exchange</subject><subject>Reheating furnace</subject><subject>Remelting of steel</subject><subject>Steel slab reheating</subject><subject>Transient heat conduction</subject><issn>0017-9310</issn><issn>1879-2189</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNqNkE1PwzAMhiMEEmPwH3JBcGlx2tI2NxDiU5O4wDlyE4dl6sdIuiH-PakGXLiQQyLHr1_bD2PnAlIBorxYpW61JBw7DGH02AdLPs0gpqFKIZN7bCbqSiaZqOU-mwGIKpG5gEN2FMJqCqEoZ-z9mnc4LileTmPLu8FQywfLkYcWG-5pauL6N243vkdN_MONS-7RuPi9JT6l-c8AHHvD-6FP1uijn1vvSt8w0LAJvKNYdcwOLLaBTr7fOXu9u325eUgWz_ePN9eLRBdQjInWjYFSywpM1tS2KBsrTdVkNVJN8di6sVoQycssa8jUVpu4aWGxtLIsJOZzdrbzXfvhfUNhVJ0LmtoW-2kYVeci4pIFROXVTqn9EIInq9bedeg_lQA1wVYr9Re2mmArqFSEHS1Ov5thiBht1GgXfn2yPIcqh0n3tNNR3HzrokvQjnodwXjSozKD-3_TL_rSpbw</recordid><startdate>20101201</startdate><enddate>20101201</enddate><creator>Steinboeck, A.</creator><creator>Wild, D.</creator><creator>Kiefer, T.</creator><creator>Kugi, A.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7ST</scope><scope>C1K</scope><scope>SOI</scope></search><sort><creationdate>20101201</creationdate><title>A mathematical model of a slab reheating furnace with radiative heat transfer and non-participating gaseous media</title><author>Steinboeck, A. ; Wild, D. ; Kiefer, T. ; Kugi, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c404t-ccbd06c970d2b8f46bf9d7b28ae8eeeef8bfc1ee9522bed8fcd1894fa6f9649a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Applied sciences</topic><topic>Exact sciences and technology</topic><topic>Galerkin method</topic><topic>Iron and steel making</topic><topic>Metals. Metallurgy</topic><topic>Open-loop control</topic><topic>Production of metals</topic><topic>Radiative heat exchange</topic><topic>Reheating furnace</topic><topic>Remelting of steel</topic><topic>Steel slab reheating</topic><topic>Transient heat conduction</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Steinboeck, A.</creatorcontrib><creatorcontrib>Wild, D.</creatorcontrib><creatorcontrib>Kiefer, T.</creatorcontrib><creatorcontrib>Kugi, A.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Environment Abstracts</collection><collection>Environmental Sciences and Pollution Management</collection><collection>Environment Abstracts</collection><jtitle>International journal of heat and mass transfer</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Steinboeck, A.</au><au>Wild, D.</au><au>Kiefer, T.</au><au>Kugi, A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A mathematical model of a slab reheating furnace with radiative heat transfer and non-participating gaseous media</atitle><jtitle>International journal of heat and mass transfer</jtitle><date>2010-12-01</date><risdate>2010</risdate><volume>53</volume><issue>25</issue><spage>5933</spage><epage>5946</epage><pages>5933-5946</pages><issn>0017-9310</issn><eissn>1879-2189</eissn><coden>IJHMAK</coden><abstract>A mathematical model of the reheating process of steel slabs in industrial fuel-fired furnaces is developed. 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| identifier | ISSN: 0017-9310 |
| ispartof | International journal of heat and mass transfer, 2010-12, Vol.53 (25), p.5933-5946 |
| issn | 0017-9310 1879-2189 |
| language | eng |
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| source | Elsevier ScienceDirect Journals Complete |
| subjects | Applied sciences Exact sciences and technology Galerkin method Iron and steel making Metals. Metallurgy Open-loop control Production of metals Radiative heat exchange Reheating furnace Remelting of steel Steel slab reheating Transient heat conduction |
| title | A mathematical model of a slab reheating furnace with radiative heat transfer and non-participating gaseous media |
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