Simulation of heat transfer in combustion chamber waterwall tubes of supercritical steam boilers

• Autorzy: Grądziel S. , Majewski K.

Identyfikatory

DOI

10.1515/cpe-2016-0017

• Języki publikacji: EN

Abstrakty

EN

The paper presents the results of numerical computations performed for the furnace chamber waterwalls of a supercritical boiler with a steam output of 2400 x 10[3] kg/h. A model of distributed parameters is proposed for the waterwall operation simulation. It is based on the solution of equations describing the mass, momentum and energy conservation laws. The aim of the calculations was to determine the distribution of enthalpy, mass flow and fluid pressure in tubes. The balance equations can be brought to a form where on the left-hand side space derivatives, and on the right-hand side – time derivatives are obtained. The time derivatives on the right-hand side were replaced with backward difference quotients. This system of ordinary differential equations was solved using the Runge-Kutta method. The calculation also takes account of the variable thermal load of the chamber along its height. This thermal load distribution is known from the calculations of the heat exchange in the combustion chamber. The calculations were carried out with the zone method.

Słowa kluczowe

EN

waterwall tube; supercritical steam boiler; mathematical model; energy balance; thermal load

PL

rura ekranowa; kocioł parowy; model matematyczny; balans energetyczny; obciążenie cieplne

• Wydawca: Komitet Inżynierii Chemicznej i Procesowej Polskiej Akademii Nauk
• Czasopismo: Chemical and Process Engineering
• Rocznik: 2016
• Tom: Vol. 37, nr 2
• Strony: 199--213
• Opis fizyczny: Bibliogr. 29 poz., wykr.

Twórcy

autor

Grądziel S.

• Cracow University of Technology, Institute of Thermal Power Engineering, al. Jana Paw ł a II 37, 31-864 Kraków, Poland

autor

Majewski K.

• Cracow University of Technology, Institute of Thermal Power Engineering, al. Jana Paw ł a II 37, 31-864 Kraków, Poland

Bibliografia

• 1. Adam E.J., Marchetti J.L., 1999. Dynamic simulation of large boilers with natural recirculation. Comp. Chem. Eng., 23, 1031–1040. DOI: 10.1016/S0098-1354(99)00269-0.
• 2. Bird R.B., Stewart W.E., Lightfoot E.N., 2007. Transport Phenomena. 2nd edition, Wiley, New York.
• 3. Bishop A.A., Sandberg R.O., Tong L.S., 1965. Forced convection heat transfer to water at near-critical temperatures and supercritical pressures. AIChE Chem. Eng. Symp. Ser. 2, 77–85.
• 4. Błaszczuk A., Nowak W., Jagodzik Sz., 2014. Bed-to-wall heat transfer in a supercritical circulating fluidised bed boiler. Chem. Process Eng., 35, 191-204. DOI:10.2478/cpe-2014-0015.
• 5. Fortran PowerStation 4.0, 1995. Microsoft Developer Studio. Microsoft Corporation.
• 6. Gerald C.F., Wheatley P.O., 1994. Applied numerical analysis. California Polytechnic State University, Addison-Wesley Publishing Company.
• 7. Grądziel S., 2012. Modelling thermal and flow phenomena occurring in the evaporator of a boiler with natural circulation. Publishing House of Cracow University of Technology, Cracow, Mechanika 406 (in Polish).
• 8. Grądziel S., 2008. Steam boiler furnace chamber calculations using the zone method, Archiwum Energetyki, XXXVIII (1), 191-202 (in Polish).
• 9. Jackson J.D., 2002. Consideration of the heat transfer properties of supercritical pressure water in connection with the cooling of advanced nuclear reactors. Proc. of the 13th Pacific Basin Nuclear Conference, Shenzhen City, China, 21-25 October 2002.
• 10. Kim H., Choi S., 2005. A model on water level dynamics in natural circulation drum-type boilers. Int. Commun. Heat Mass Transfer International, 32, 786–796. DOI: 10.1016/j.icheatmasstransfer.2004.10.010.
• 11. Kitoh K., Koshizuka S., Oka Yo., 1999. Refinement of transient criteria and safety analysis for a high temperature reactor cooled by supercritical water. Proceedings of the 7th International Conference on Nuclear Engineering (ICONE-7), Tokyo, Japan, 19-23 April, Paper No. 7234.
• 12. Kotowicz J, Michalski S., 2014. Efficiency analysis of a hard-coal-fired supercritical power plant with a four-end high-temperature membrane for air separation. Energy, 64, 109-119. DOI: 10.1016/j.energy.2013.11.006.
• 13. Kuznetsov N.W., Nitor W.W., Dubovski I.E., Karasina E.S., 1973. Thermal Calculations of Steam Boilers. Standard Method. Energy, Moscow (in Russian).
• 14. Meyer C.A., 1993. ASME Steam Tables: Thermodynamic and Transport Properties of Steam. 6th edition, USA, New York : American Society of Mechanical Engineers 1993.
• 15. Modliński N., 2014. Computational modelling of a tangentially fired boiler with deposit formation phenomena. Chem. Process Eng., 35, 361-398. DOI: 10.2478/cpe-2014-0027.
• 16. Pronobis S., Litka R., 2012. Rate of corrosion of waterwalls in supercritical pulverised fuel boilers. Chem. Process Eng., 33, 263-277. DOI:10.2478/v10176-012-0026-x.
• 17. Slattery J.C., 1999. Advanced Transport Phenomena. Cambridge University Press, Cambridge.
• 18. Stosic Z., Stevanovic V., 2003. Numerical prediction of pipe CHF data with multi-fluid modelling approach. Proceedings of the 11th International Conference on Nuclear Engineering – ICONE 11, Tokyo, Japan, April 20–23, paper ICONE11-36382.
• 19. Taler D., Trojan M., Taler J., 2011, Mathematical modelling of tube heat exchangers with complex flow arrangement. Chem. Process Eng., 32, 7-19. DOI: 10.2478/v10176-011-0001-y.
• 20. Taler J., Duda P., 2006. Solving Direct and Inverse Heat Conduction Problems. Springer-Verlag, Berlin.
• 21. Taler J. (Ed.), 2011. Thermal and flow processes in large steam boilers. Modelling and monitoring. PWN Warszawa (in Polish).
• 22. Taler J., 1981. Modelling temperature distribution in the boiler membrane walls. Energetyka, No 3 (in Polish).
• 23. Tang R., Yin F., Wang H., Chen T., 2007. An investigation into the heat transfer characteristics of spiral wall with internal rib in a supercritical sliding-pressure operation once-through boiler front. Front. Energy Power Eng. China, 1, 300–304. DOI: 10.1007/s11708-007-0043-5.
• 24. Tucakovic D.R., Stevanovic V.D., Zivanovic T., Jovovic A., Ivanović V.B., 2007. Thermal–hydraulic analysis of a steam boiler with rifled evaporating tubes. Appl. Therm. Eng. 27, 509–519. DOI: 10.1016/j.applthermaleng.2006.06.009.
• 25. Welty J.R., Wicks C.E., Wilson R.E., Rorrer G.L., 2008. Fundamentals of momentum, heat and mass transfer. 5th Ed., Wiley, Hoboken.
• 26. Water & Steam, 1999. IAPWS-IF97, Springer-Verlag.
• 27. Wojciechowski M., 2012. Designing of the supercritical boilers on the example of steam boiler in Bełchatów Power Plant. Final Project, Cracow University of Technology (in Polish).
• 28. Zima W., Grądziel S., 2013. Simulation of transient processes in heating surfaces of power boilers. LAMBERT Academic Publishing.
• 29. Zima W., Grądziel S., Cebula A., 2010. Modelling of heat and flow phenomena occurring in waterwall tubes of boilers for supercritical steam parameters. Arch. Thermodyn., 31, 19-36. DOI: 10.2478/v10173-010-0012-y.