Deflection and stresses in solar central receivers
[Display omitted] •Fast, accurate and reliable estimation of thermal stresses in solar receivers.•Tube deflection can be obtained using the beam theory.•Temperature-dependent properties must be used for a reliable stress estimation.•The axial stress in receiver tubes is the most critical stress. The...
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Veröffentlicht in: | Solar energy 2020-01, Vol.195, p.355-368 |
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creator | Laporte-Azcué, M. González-Gómez, P.A. Rodríguez-Sánchez, M.R. Santana, D. |
description | [Display omitted]
•Fast, accurate and reliable estimation of thermal stresses in solar receivers.•Tube deflection can be obtained using the beam theory.•Temperature-dependent properties must be used for a reliable stress estimation.•The axial stress in receiver tubes is the most critical stress.
The aim of the design of central solar receivers is to withstand the high non-uniform solar-heat-flux and temperature during the solar-power-plant lifetime. This high non-uniform tube temperature causes high thermal stress, producing creep and fatigue damage. Therefore, is necessary to obtain an accurate estimation of the tube stresses during the receiver operation. In the same way, to ensure the panel integrity, the frontal and lateral tube deflections must be obtained to avoid excessive panel bowing and warpage, respectively.
The huge number of simulations needed to perform the creep-fatigue analysis precludes the use of high time-consuming CFD-FEM simulations. To resolve this drawback, a reliable, accurate and fast procedure to obtain the tube stresses, using analytical stress estimation, is proposed. The procedure considers the temperature dependence of the thermo-mechanical properties.
The temperature-dependent hoop stress is estimated using the solution for constant mechanical properties whereas the radial stress is estimated taking constant the Young modulus only. The temperature-dependent axial-bending stress is obtained using the non-homogeneous beam equation subjected to the movement restriction produced by tube clips. When the tube displacement is restricted by tube clips, the equivalent stress difference is less than 2% taking temperature-dependent properties and slightly higher than 10% for constant properties. The proposed stress estimation is enough accurate to perform a reliable fatigue-creep analysis and two order of magnitude faster than the CFD-FEM simulations.
Finally, the tube deflection and displacement, restricted by tube clips, are derived straightforward using the temperature-dependent tube curvature and the beam theory. |
doi_str_mv | 10.1016/j.solener.2019.11.066 |
format | Article |
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•Fast, accurate and reliable estimation of thermal stresses in solar receivers.•Tube deflection can be obtained using the beam theory.•Temperature-dependent properties must be used for a reliable stress estimation.•The axial stress in receiver tubes is the most critical stress.
The aim of the design of central solar receivers is to withstand the high non-uniform solar-heat-flux and temperature during the solar-power-plant lifetime. This high non-uniform tube temperature causes high thermal stress, producing creep and fatigue damage. Therefore, is necessary to obtain an accurate estimation of the tube stresses during the receiver operation. In the same way, to ensure the panel integrity, the frontal and lateral tube deflections must be obtained to avoid excessive panel bowing and warpage, respectively.
The huge number of simulations needed to perform the creep-fatigue analysis precludes the use of high time-consuming CFD-FEM simulations. To resolve this drawback, a reliable, accurate and fast procedure to obtain the tube stresses, using analytical stress estimation, is proposed. The procedure considers the temperature dependence of the thermo-mechanical properties.
The temperature-dependent hoop stress is estimated using the solution for constant mechanical properties whereas the radial stress is estimated taking constant the Young modulus only. The temperature-dependent axial-bending stress is obtained using the non-homogeneous beam equation subjected to the movement restriction produced by tube clips. When the tube displacement is restricted by tube clips, the equivalent stress difference is less than 2% taking temperature-dependent properties and slightly higher than 10% for constant properties. The proposed stress estimation is enough accurate to perform a reliable fatigue-creep analysis and two order of magnitude faster than the CFD-FEM simulations.
Finally, the tube deflection and displacement, restricted by tube clips, are derived straightforward using the temperature-dependent tube curvature and the beam theory.</description><identifier>ISSN: 0038-092X</identifier><identifier>EISSN: 1471-1257</identifier><identifier>DOI: 10.1016/j.solener.2019.11.066</identifier><language>eng</language><publisher>New York: Elsevier Ltd</publisher><subject>Analytic method ; Axial stress ; Beam theory (structures) ; Bending stresses ; Bowing ; Clips ; Computer simulation ; Creep analysis ; Creep fatigue ; Deflection ; Deformation ; External central receiver ; Fatigue ; Fatigue failure ; Hoop stress ; Mechanical properties ; Modulus of elasticity ; Power plants ; Receivers ; Simulation ; Solar energy ; Solar power ; Solar power tower ; Temperature dependence ; Thermal stress ; Thermomechanical properties ; Variable properties ; Warpage</subject><ispartof>Solar energy, 2020-01, Vol.195, p.355-368</ispartof><rights>2019 International Solar Energy Society</rights><rights>Copyright Pergamon Press Inc. Jan 1, 2020</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c384t-89d3de91f7d67defc36db3e3ed437a120b0ef642f42db003b3332d8fe1ea21a53</citedby><cites>FETCH-LOGICAL-c384t-89d3de91f7d67defc36db3e3ed437a120b0ef642f42db003b3332d8fe1ea21a53</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0038092X19311673$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids></links><search><creatorcontrib>Laporte-Azcué, M.</creatorcontrib><creatorcontrib>González-Gómez, P.A.</creatorcontrib><creatorcontrib>Rodríguez-Sánchez, M.R.</creatorcontrib><creatorcontrib>Santana, D.</creatorcontrib><title>Deflection and stresses in solar central receivers</title><title>Solar energy</title><description>[Display omitted]
•Fast, accurate and reliable estimation of thermal stresses in solar receivers.•Tube deflection can be obtained using the beam theory.•Temperature-dependent properties must be used for a reliable stress estimation.•The axial stress in receiver tubes is the most critical stress.
The aim of the design of central solar receivers is to withstand the high non-uniform solar-heat-flux and temperature during the solar-power-plant lifetime. This high non-uniform tube temperature causes high thermal stress, producing creep and fatigue damage. Therefore, is necessary to obtain an accurate estimation of the tube stresses during the receiver operation. In the same way, to ensure the panel integrity, the frontal and lateral tube deflections must be obtained to avoid excessive panel bowing and warpage, respectively.
The huge number of simulations needed to perform the creep-fatigue analysis precludes the use of high time-consuming CFD-FEM simulations. To resolve this drawback, a reliable, accurate and fast procedure to obtain the tube stresses, using analytical stress estimation, is proposed. The procedure considers the temperature dependence of the thermo-mechanical properties.
The temperature-dependent hoop stress is estimated using the solution for constant mechanical properties whereas the radial stress is estimated taking constant the Young modulus only. The temperature-dependent axial-bending stress is obtained using the non-homogeneous beam equation subjected to the movement restriction produced by tube clips. When the tube displacement is restricted by tube clips, the equivalent stress difference is less than 2% taking temperature-dependent properties and slightly higher than 10% for constant properties. The proposed stress estimation is enough accurate to perform a reliable fatigue-creep analysis and two order of magnitude faster than the CFD-FEM simulations.
Finally, the tube deflection and displacement, restricted by tube clips, are derived straightforward using the temperature-dependent tube curvature and the beam theory.</description><subject>Analytic method</subject><subject>Axial stress</subject><subject>Beam theory (structures)</subject><subject>Bending stresses</subject><subject>Bowing</subject><subject>Clips</subject><subject>Computer simulation</subject><subject>Creep analysis</subject><subject>Creep fatigue</subject><subject>Deflection</subject><subject>Deformation</subject><subject>External central receiver</subject><subject>Fatigue</subject><subject>Fatigue failure</subject><subject>Hoop stress</subject><subject>Mechanical properties</subject><subject>Modulus of elasticity</subject><subject>Power plants</subject><subject>Receivers</subject><subject>Simulation</subject><subject>Solar energy</subject><subject>Solar power</subject><subject>Solar power tower</subject><subject>Temperature dependence</subject><subject>Thermal stress</subject><subject>Thermomechanical properties</subject><subject>Variable properties</subject><subject>Warpage</subject><issn>0038-092X</issn><issn>1471-1257</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNqFkEFLxDAQhYMouK7-BKHguTWTtEl7ElldFRa8KHgLaTKBlJquSXfBf2-W3bunOcx7b-Z9hNwCrYCCuB-qNI0YMFaMQlcBVFSIM7KAWkIJrJHnZEEpb0vasa9LcpXSQClIaOWCsCd0I5rZT6HQwRZpjpgSpsKHIqfqWBgMc9RjEdGg32NM1-TC6THhzWkuyef6-WP1Wm7eX95Wj5vS8Laey7az3GIHTlohLTrDhe05crQ1lxoY7Sk6UTNXM9vn93rOObOtQ0DNQDd8Se6Ouds4_ewwzWqYdjHkk4rxhnLRippnVXNUmTilFNGpbfTfOv4qoOqARw3qhEcd8CgAlfFk38PRh7nC3udtMh6DQetz01nZyf-T8AezvXDv</recordid><startdate>20200101</startdate><enddate>20200101</enddate><creator>Laporte-Azcué, M.</creator><creator>González-Gómez, P.A.</creator><creator>Rodríguez-Sánchez, M.R.</creator><creator>Santana, D.</creator><general>Elsevier Ltd</general><general>Pergamon Press Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7ST</scope><scope>8FD</scope><scope>C1K</scope><scope>FR3</scope><scope>KR7</scope><scope>L7M</scope><scope>SOI</scope></search><sort><creationdate>20200101</creationdate><title>Deflection and stresses in solar central receivers</title><author>Laporte-Azcué, M. ; González-Gómez, P.A. ; Rodríguez-Sánchez, M.R. ; Santana, D.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c384t-89d3de91f7d67defc36db3e3ed437a120b0ef642f42db003b3332d8fe1ea21a53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Analytic method</topic><topic>Axial stress</topic><topic>Beam theory (structures)</topic><topic>Bending stresses</topic><topic>Bowing</topic><topic>Clips</topic><topic>Computer simulation</topic><topic>Creep analysis</topic><topic>Creep fatigue</topic><topic>Deflection</topic><topic>Deformation</topic><topic>External central receiver</topic><topic>Fatigue</topic><topic>Fatigue failure</topic><topic>Hoop stress</topic><topic>Mechanical properties</topic><topic>Modulus of elasticity</topic><topic>Power plants</topic><topic>Receivers</topic><topic>Simulation</topic><topic>Solar energy</topic><topic>Solar power</topic><topic>Solar power tower</topic><topic>Temperature dependence</topic><topic>Thermal stress</topic><topic>Thermomechanical properties</topic><topic>Variable properties</topic><topic>Warpage</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Laporte-Azcué, M.</creatorcontrib><creatorcontrib>González-Gómez, P.A.</creatorcontrib><creatorcontrib>Rodríguez-Sánchez, M.R.</creatorcontrib><creatorcontrib>Santana, D.</creatorcontrib><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Environment Abstracts</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Environment Abstracts</collection><jtitle>Solar energy</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Laporte-Azcué, M.</au><au>González-Gómez, P.A.</au><au>Rodríguez-Sánchez, M.R.</au><au>Santana, D.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Deflection and stresses in solar central receivers</atitle><jtitle>Solar energy</jtitle><date>2020-01-01</date><risdate>2020</risdate><volume>195</volume><spage>355</spage><epage>368</epage><pages>355-368</pages><issn>0038-092X</issn><eissn>1471-1257</eissn><abstract>[Display omitted]
•Fast, accurate and reliable estimation of thermal stresses in solar receivers.•Tube deflection can be obtained using the beam theory.•Temperature-dependent properties must be used for a reliable stress estimation.•The axial stress in receiver tubes is the most critical stress.
The aim of the design of central solar receivers is to withstand the high non-uniform solar-heat-flux and temperature during the solar-power-plant lifetime. This high non-uniform tube temperature causes high thermal stress, producing creep and fatigue damage. Therefore, is necessary to obtain an accurate estimation of the tube stresses during the receiver operation. In the same way, to ensure the panel integrity, the frontal and lateral tube deflections must be obtained to avoid excessive panel bowing and warpage, respectively.
The huge number of simulations needed to perform the creep-fatigue analysis precludes the use of high time-consuming CFD-FEM simulations. To resolve this drawback, a reliable, accurate and fast procedure to obtain the tube stresses, using analytical stress estimation, is proposed. The procedure considers the temperature dependence of the thermo-mechanical properties.
The temperature-dependent hoop stress is estimated using the solution for constant mechanical properties whereas the radial stress is estimated taking constant the Young modulus only. The temperature-dependent axial-bending stress is obtained using the non-homogeneous beam equation subjected to the movement restriction produced by tube clips. When the tube displacement is restricted by tube clips, the equivalent stress difference is less than 2% taking temperature-dependent properties and slightly higher than 10% for constant properties. The proposed stress estimation is enough accurate to perform a reliable fatigue-creep analysis and two order of magnitude faster than the CFD-FEM simulations.
Finally, the tube deflection and displacement, restricted by tube clips, are derived straightforward using the temperature-dependent tube curvature and the beam theory.</abstract><cop>New York</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.solener.2019.11.066</doi><tpages>14</tpages><oa>free_for_read</oa></addata></record> |
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subjects | Analytic method Axial stress Beam theory (structures) Bending stresses Bowing Clips Computer simulation Creep analysis Creep fatigue Deflection Deformation External central receiver Fatigue Fatigue failure Hoop stress Mechanical properties Modulus of elasticity Power plants Receivers Simulation Solar energy Solar power Solar power tower Temperature dependence Thermal stress Thermomechanical properties Variable properties Warpage |
title | Deflection and stresses in solar central receivers |
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