Example of flow rates in a reactor. It is an illustrative example, and the data do not represent any reactor design.<\/figcaption><\/figure>\nCold leg volumetric flow rate:<\/p>\n
Qcold<\/sub>\u00a0= m\u0307\u00a0\/ \u2374<\/strong> = 4648 \/ 720 = 6.46 m3<\/sup>\/s = 23240 m3<\/sup>\/hod<\/strong><\/p>\nCold leg flow velocity:<\/p>\n
A1<\/sub>\u00a0= \u03c0.d2<\/sup> \/ 4<\/p>\nvcold<\/sub><\/strong>\u00a0= Qcold<\/sub><\/strong>\u00a0\/ A1<\/sub><\/strong>\u00a0= 6.46 \/ (3.14 x 0.72<\/sup> \/ 4) = 6.46 \/ 0.38 = 17 m\/s<\/strong><\/p>\nHot leg volumetric flow rate:<\/p>\n
Qhot<\/sub>\u00a0= m\u0307\u00a0\/ \u2374<\/strong> = 4648 \/ 654 = 7.11 m3<\/sup>\/s = 25585 m3<\/sup>\/hod<\/strong><\/p>\nHot leg flow velocity:<\/p>\n
A = \u03c0.d2<\/sup> \/ 4<\/p>\nvhot<\/sub><\/strong>\u00a0= Qhot<\/sub>\u00a0\/ A1<\/sub><\/strong>\u00a0= 7.11 \/ (3.14 x 0.72<\/sup> \/ 4) = 7.11 \/ 0.38 = 18,7 m\/s<\/strong><\/p>\nor according to the continuity equation<\/strong>:<\/p>\n\u23741<\/sub> . A1<\/sub> . v1<\/sub> = \u23742<\/sub> . A2<\/sub> . v2<\/sub><\/strong><\/p>\nvhot<\/sub><\/strong> = \u00a0vcold<\/sub> . \u2374cold<\/sub> \/ \u2374hot<\/sub> = 17 x 720 \/ 654 = 18.7 m\/s<\/strong><\/p>\nCore inlet flow velocity:<\/p>\n
Acore<\/sub> = 5m2<\/sup><\/p>\nApiping<\/sub> = 4 x A1<\/sub> = 4 x 0.38 = 1.52 m2<\/sup><\/p>\n\u2374inlet<\/sub> = \u2374cold<\/sub><\/p>\naccording to the continuity equation<\/strong>:<\/p>\n\u2374inlet<\/sub> . Acore<\/sub> . vinlet<\/sub> = \u2374cold<\/sub> . Apiping<\/sub> . vcold<\/sub><\/p>\nvinlet<\/sub><\/strong> = \u00a0vcold<\/sub> . Apiping<\/sub> \/ Acore<\/sub> = 17 x 1.52 \/ 5 = 5.17 m\/s<\/strong><\/p>\nCore outlet flow velocity:<\/p>\n
\u2374inlet<\/sub> = \u2374cold<\/sub><\/p>\n\u2374outlet<\/sub> = \u2374hot<\/sub><\/p>\naccording to the continuity equation<\/strong>:<\/p>\n\u2374outlet<\/sub> . Acore<\/sub> . voutlet<\/sub> = \u2374inlet<\/sub> . Acore<\/sub> . vinlet<\/sub>
\nvoutlet<\/sub><\/strong> = \u00a0vinlet<\/sub> . \u2374inlet<\/sub> \/ \u2374outlet<\/sub> = 5.17 x 720 \/ 654 = 5.69 m\/s<\/strong><\/p>\n<\/div>\n<\/div>\n
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<\/span>References:<\/div>Reactor Physics and Thermal Hydraulics:<\/strong>\n\n- J. R. Lamarsh, Introduction to Nuclear Reactor Theory, 2nd ed., Addison-Wesley, Reading,\u00a0MA (1983).<\/li>\n
- J. R. Lamarsh, A. J. Baratta, Introduction to Nuclear Engineering, 3d ed., Prentice-Hall, 2001, ISBN: 0-201-82498-1.<\/li>\n
- W. M. Stacey, Nuclear Reactor Physics, John Wiley & Sons, 2001, ISBN: 0- 471-39127-1.<\/li>\n
- Glasstone, Sesonske. Nuclear Reactor Engineering: Reactor Systems Engineering,\u00a0Springer; 4th edition, 1994, ISBN:\u00a0978-0412985317<\/li>\n
- Todreas Neil E., Kazimi Mujid S. Nuclear Systems Volume I: Thermal Hydraulic Fundamentals, Second Edition. CRC\u00a0Press; 2\u00a0edition, 2012, ISBN:\u00a0978-0415802871<\/li>\n
- Zohuri B., McDaniel P. Thermodynamics in Nuclear Power Plant Systems. Springer; 2015, ISBN:\u00a0978-3-319-13419-2<\/li>\n
- Moran Michal J., Shapiro Howard N. Fundamentals of Engineering Thermodynamics, Fifth Edition,\u00a0John Wiley & Sons, 2006, ISBN:\u00a0978-0-470-03037-0<\/li>\n
- Kleinstreuer C. Modern Fluid Dynamics. Springer, 2010,\u00a0ISBN 978-1-4020-8670-0.<\/li>\n
- U.S. Department of Energy, THERMODYNAMICS, HEAT TRANSFER,\u00a0AND FLUID FLOW.\u00a0DOE Fundamentals Handbook,\u00a0Volume 1, 2 and 3. June\u00a01992.<\/li>\n<\/ol>\n<\/div><\/div><\/div>\n