Numerical solution of diffusion equation to study fast neutrons flux distribution for variant radii of nuclear fuel pin and moderator regions
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S. A. Mousavi Shirazi
Abstract
In this symbolic investigation, a cylindrical cell in a LWR, which consists of one fuel pin and moderator (water), is considered. The width of this cylindrical cell is divided into 100 equal units. Since the neutron flux in a cylindrical fuel pin is resulting from the diffusion equation:
References
1 Rafiei Karahroudi, M; Mousavi Shirazi, S. A.: Study of power distribution in the CZP, HFP and normal operation states of VVER-1000 (Bushehr) nuclear reactor core by coupling nuclear codes. Annals of Nuclear Energy75 (2015) 3810.1016/j.anucene.2014.07.038Search in Google Scholar
2 Mousavi Shirazi, S. A; Shafeie Lilehkouhi, M. S.: The assessment of radioisotopes and radiomedicines in the MNSR reactor of Isfahan and obtaining the burnup by applying the obtained information. Proc. Conf. Asia-Pacific Power and Energy Engineering (APPEEC), Shanghai, March 27–29, 2012, p. 110.1109/APPEEC.2012.6307050Search in Google Scholar
3 Rafiei Karahroudi, M; Mousavi Shirazi, S. A.; Sepanloo, K.: Optimization of designing the core fuel loading pattern in a VVER-1000 nuclear power reactor using the genetic algorithm. Annals of Nuclear Energy57 (2013) 14210.1016/j.anucene.2013.01.051Search in Google Scholar
4 Rafiei Karahroudi, M; Mousavi Shirazi, S. A.: Obtaining the neutronic and thermal hydraulic parameters of the VVER-1000 Bushehr nuclear reactor core by coupling nuclear codes. Kerntechnik79 (2014) 52810.3139/124.110440Search in Google Scholar
5 Fowler, T. B.: CITALDI-PC README File, List Directed Input, 1996Search in Google Scholar
6 Fowler, T; Vondy, D; Cunningham, G.: Nuclear Reactor Core Analysis Code: CITATION. ORNL-TM-2496, Rev.2, with Supplements 1, 2, and 3, 1971. p. 55Search in Google Scholar
7 Mousavi Shirazi, S. A.: The simulation of a model by SIMULINK of MATLAB for determining the best ranges for velocity and delay time of control rod movement in LWR reactors. Progress in Nuclear Energy54 (2012) 6410.1016/j.pnucene.2011.08.005Search in Google Scholar
8 Mousavi Shirazi, S. A.; Rastayesh, S.: The comparative investigation and calculation of thermo-neutronic parameters on two gens II and III nuclear reactors with same powers. World Academy of Science, Engineering and Technology (WASET)49 (2011) 105Search in Google Scholar
9 Todreas, N. E.; Kazimi, M. S.: Nuclear Systems I Thermal Hydraulic Fundamentals, Hemisphere Publishing Corporation, New York, 1990Search in Google Scholar
10 Nakamura, S.: Applied Numerical Methods with Software, Prentice-Hall International, USA, 1991Search in Google Scholar
11 Lamarsh, J. R.: Introduction to nuclear engineering, Addison Wesley Publishing Company, Boston, 1983Search in Google Scholar
12 Mousavi Shirazi, S. A.; Sardari, D.: Design and Simulation of a New Model for Treatment by Neutron Therapy. Science and Technology of Nuclear Installations2012 (2012) 110.1155/2012/213640Search in Google Scholar
13 Final Safety Analysis Report (FSAR), NPP “Bushehr”. Ministry of Russian Federation of Atomic Energy, Federal State of Unitary Enterprise “Research, design, engineering and survey institute” (ATOMENERGOPROEKT), Moscow, 2003. Chap. 4, p. 4Search in Google Scholar
14 Mousavi Shirazi, S. A.; Taheri, A.: A NEW METHOD FOR NEUTRON CAPTURE THERAPY (NCT) AND RELATED SIMULATION BY MCNP4C CODE. Proc. Conf. Neutron and X-Ray Scattering in Advancing Materials Research, American Institute of Physics (AIP), Kuala Lumpur, June–July 29–01, 2009, p. 77.10.1063/1.3295614Search in Google Scholar
15 Douglas Faires, J; Burden, R.: Numerical Methods, Cole Publishing Company, Wisconsin, 1998Search in Google Scholar
16 Dusinberre, G. M.: Heat Transfer Calculating by Finite Difference, International Textbook Company, Scranton, Pennsylvania, 1961Search in Google Scholar
17 Kubicek, M; Hlavacek, V.: Numerical Solution of Nonlinear Boundary Value Problems with Applications, Prentice-Hall, 1983Search in Google Scholar
© 2015, Carl Hanser Verlag, München
Articles in the same Issue
- Contents/Inhalt
- Contents
- Summaries/Kurzfassungen
- Summaries
- Technical Contributions/Fachbeiträge
- Improved data evaluation methodology for energy ranges with missing experimental data
- Importance weighting of local flux measurements to improve reactivity predictions in nuclear systems
- Safety assessment of fuel cycle facilities following the lessons learned from the accident at the Fukushima-Daiichi nuclear power plant
- The ultimate response guideline simulation and analysis by using TRACE for Lungmen ABWR nuclear power plant
- Development of a hydrogen diffusion gothic model of MARK III-containment
- Analysis of safety parameters for the MINERVE reactor
- Nondestructive radioactive tracer technique in performance evaluation of organic based ion exchange materials Purolite NRW-4000 and Duolite A-378
- Neutronic performance of (ReprocessedU/Th)O2 fuel in CANDU 6 reactor
- Modelling study on production cross sections of 111In radioisotopes used in nuclear medicine
- Study of 60Co as gamma source in backscatter gamma densitometers
- Determination of activity concentration of natural and artificial radionuclides in sand samples from mediterranean coast of Antalya in Turkey
- Technical Notes
- Numerical solution of diffusion equation to study fast neutrons flux distribution for variant radii of nuclear fuel pin and moderator regions
Articles in the same Issue
- Contents/Inhalt
- Contents
- Summaries/Kurzfassungen
- Summaries
- Technical Contributions/Fachbeiträge
- Improved data evaluation methodology for energy ranges with missing experimental data
- Importance weighting of local flux measurements to improve reactivity predictions in nuclear systems
- Safety assessment of fuel cycle facilities following the lessons learned from the accident at the Fukushima-Daiichi nuclear power plant
- The ultimate response guideline simulation and analysis by using TRACE for Lungmen ABWR nuclear power plant
- Development of a hydrogen diffusion gothic model of MARK III-containment
- Analysis of safety parameters for the MINERVE reactor
- Nondestructive radioactive tracer technique in performance evaluation of organic based ion exchange materials Purolite NRW-4000 and Duolite A-378
- Neutronic performance of (ReprocessedU/Th)O2 fuel in CANDU 6 reactor
- Modelling study on production cross sections of 111In radioisotopes used in nuclear medicine
- Study of 60Co as gamma source in backscatter gamma densitometers
- Determination of activity concentration of natural and artificial radionuclides in sand samples from mediterranean coast of Antalya in Turkey
- Technical Notes
- Numerical solution of diffusion equation to study fast neutrons flux distribution for variant radii of nuclear fuel pin and moderator regions