Analytical modeling of flashing-induced instabilities in a natural circulation cooled boiling water reactor
A dynamic model for natural circulation boiling water reactors (BWRs) under low-pressure conditions is developed. The motivation for this theoretical research is the concern about the stability of natural circulation BWRs during the low-pressure reactor start-up phase. There is experimental and theo...
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Veröffentlicht in: | Nuclear engineering and design 2002-06, Vol.215 (1), p.87-98 |
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creator | Van Bragt, D.D.B. De Kruijf, W.J.M. Manera, A. Van Der Hagen, T.H.J.J. Van Dam, H. |
description | A dynamic model for natural circulation boiling water reactors (BWRs) under low-pressure conditions is developed. The motivation for this theoretical research is the concern about the stability of natural circulation BWRs during the low-pressure reactor start-up phase. There is experimental and theoretical evidence for the occurrence of void flashing in the unheated riser under these conditions. This flashing effect is included in the differential (homogeneous equilibrium) equations for two-phase flow. The differential equations were integrated over axial two-phase nodes, to derive a nodal time-domain model. The dynamic behavior of the interface between the one and two-phase regions is approximated with a linearized model. All model equations are presented in a dimensionless form. As an example the stability characteristics of the Dutch Dodewaard reactor at low pressure are determined. |
doi_str_mv | 10.1016/S0029-5493(02)00043-2 |
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The motivation for this theoretical research is the concern about the stability of natural circulation BWRs during the low-pressure reactor start-up phase. There is experimental and theoretical evidence for the occurrence of void flashing in the unheated riser under these conditions. This flashing effect is included in the differential (homogeneous equilibrium) equations for two-phase flow. The differential equations were integrated over axial two-phase nodes, to derive a nodal time-domain model. The dynamic behavior of the interface between the one and two-phase regions is approximated with a linearized model. All model equations are presented in a dimensionless form. 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The motivation for this theoretical research is the concern about the stability of natural circulation BWRs during the low-pressure reactor start-up phase. There is experimental and theoretical evidence for the occurrence of void flashing in the unheated riser under these conditions. This flashing effect is included in the differential (homogeneous equilibrium) equations for two-phase flow. The differential equations were integrated over axial two-phase nodes, to derive a nodal time-domain model. The dynamic behavior of the interface between the one and two-phase regions is approximated with a linearized model. All model equations are presented in a dimensionless form. As an example the stability characteristics of the Dutch Dodewaard reactor at low pressure are determined.</description><subject>Applied sciences</subject><subject>Differential equations</subject><subject>Energy</subject><subject>Energy. Thermal use of fuels</subject><subject>Enthalpy</subject><subject>Exact sciences and technology</subject><subject>Fission nuclear power plants</subject><subject>Hydrostatic pressure</subject><subject>Installations for energy generation and conversion: thermal and electrical energy</subject><subject>Mathematical models</subject><subject>Pressure effects</subject><issn>0029-5493</issn><issn>1872-759X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2002</creationdate><recordtype>article</recordtype><recordid>eNqFkUuLFTEQhYMoeB39CUJvfC1a8-pOZyXD4AsGXKjgLlTSiZbmJmOSVubfm3vvoDutTVXBd6rgHEIeMvqcUTa_-EAp1-MktXhK-TNKqRQjv0V2bFF8VJP-fJvs_iB3yb1av9FDab4j388TxOuGDuKwz6uPmL4MOQwhQv3a5xHTujm_DphqA4sRG_ratwGGBG0rXeewuC1Cw5wGl3PstM14vPQLmi9D8eBaLvfJnQCx-gc3_Yx8ev3q48Xb8fL9m3cX55ejk_PcxjA7vgalg9TaW2anBfi8yIlRabnlgoKVaundSguOai3EGoQLYuF2DssqzsiT092rkn9svjazx-p8jJB83qpRcuaSCb108vE_Sa4mpdisOzidQFdyrcUHc1VwD-XaMGoOIZhjCObgsKHcHEMwvOse3TyA2i0OBZLD-lcsFOOTEJ17eeJ89-Un-mKqQ5-68Vi8a2bN-J9PvwHVEZzo</recordid><startdate>20020601</startdate><enddate>20020601</enddate><creator>Van Bragt, D.D.B.</creator><creator>De Kruijf, W.J.M.</creator><creator>Manera, A.</creator><creator>Van Der Hagen, T.H.J.J.</creator><creator>Van Dam, H.</creator><general>Elsevier B.V</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>7TC</scope></search><sort><creationdate>20020601</creationdate><title>Analytical modeling of flashing-induced instabilities in a natural circulation cooled boiling water reactor</title><author>Van Bragt, D.D.B. ; De Kruijf, W.J.M. ; Manera, A. ; Van Der Hagen, T.H.J.J. ; Van Dam, H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c466t-f6c2df79f499eb1b58a26845104b2b230ab478230b4bac09933df3cf382b6f8d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2002</creationdate><topic>Applied sciences</topic><topic>Differential equations</topic><topic>Energy</topic><topic>Energy. 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The motivation for this theoretical research is the concern about the stability of natural circulation BWRs during the low-pressure reactor start-up phase. There is experimental and theoretical evidence for the occurrence of void flashing in the unheated riser under these conditions. This flashing effect is included in the differential (homogeneous equilibrium) equations for two-phase flow. The differential equations were integrated over axial two-phase nodes, to derive a nodal time-domain model. The dynamic behavior of the interface between the one and two-phase regions is approximated with a linearized model. All model equations are presented in a dimensionless form. As an example the stability characteristics of the Dutch Dodewaard reactor at low pressure are determined.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/S0029-5493(02)00043-2</doi><tpages>12</tpages></addata></record> |
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subjects | Applied sciences Differential equations Energy Energy. Thermal use of fuels Enthalpy Exact sciences and technology Fission nuclear power plants Hydrostatic pressure Installations for energy generation and conversion: thermal and electrical energy Mathematical models Pressure effects |
title | Analytical modeling of flashing-induced instabilities in a natural circulation cooled boiling water reactor |
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