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ویرایش: نویسندگان: K. Umasankari, Om Pal Singh, P. Mohanakrishnan سری: ISBN (شابک) : 9780128224427, 0128224428 ناشر: Academic Press is an Imprint of Elsevier سال نشر: 2021 تعداد صفحات: [770] زبان: English فرمت فایل : PDF (درصورت درخواست کاربر به PDF، EPUB یا AZW3 تبدیل می شود) حجم فایل: 41 Mb
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Front-Matter_2021_Physics-of-Nuclear-Reactors Front Matter Copyright_2021_Physics-of-Nuclear-Reactors Copyright Contributors_2021_Physics-of-Nuclear-Reactors Contributors Foreword_2021_Physics-of-Nuclear-Reactors Foreword Preface_2021_Physics-of-Nuclear-Reactors Preface Acknowledgments_2021_Physics-of-Nuclear-Reactors Acknowledgments Chapter-1---Introduction_2021_Physics-of-Nuclear-Reactors Introduction Introduction The atom and its nucleus The Bohr model of the atom The atomic energy levels Ionization The nucleus Nuclear dimensions and density Nuclear charge distribution Representation of a nucleus Isotopes, isotones, isobars Nuclide number density Nuclear stability Binding energy Binding energy per nucleon (BE/A) Binding energy of the last nucleon The drip lines Radioactivity Alpha decay Beta decay Positron decay or β+ decay Electron capture Gamma decay Rate of radioactive decay Mean life Half-life Units to express radioactivity emission Nuclear models The liquid drop model The shell model Nuclear energy levels Bound and excited energy levels Nuclear reactions Q-value of nuclear reactions Neutron interactions Neutron elastic scattering Kinematics of neutron elastic scattering The moderator Neutron inelastic scattering Discrete and continuum inelastic scattering Kinematics of neutron inelastic scattering Radiative capture (n, x) reaction Fission Probabilities of nuclear reactions Reaction rate and microscopic cross-section Flux, macroscopic cross-section, mean-free-path Total, capture, and absorption cross-sections Variation of cross-section with energy Compound nucleus reaction versus direct reaction Resonances Resolved and unresolved resonances Cross-section data representation and resonance formalism Fission mechanism Chance fissions Fission cross-sections Fission products Asymmetric fission Instability of the fission fragments Fission neutrons Prompt and delayed Fission neutron energies Energy released in fission Neutron chain reaction and generations Fission chain reaction Neutron generations and multiplication Concept of a nuclear reactor Criticality, critical size, and critical mass Basic design considerations Thermal reactor and fast reactor Energy region and fissile enrichment Energy distribution of neutrons in a reactor Spatial dependence of the neutrons in a reactor Basic physics of reactor design The reactor-power Summary Exercise problems References Further reading Chapter-2---Nuclear-data_2021_Physics-of-Nuclear-Reactors Nuclear data Introduction: Nuclear data and its importance Application areas of nuclear data Nuclear data production Measurement of cross-sections Prediction of cross-sections Measurement of total, partial, and differential cross-sections Total cross-section estimation Partial cross-section estimation Use of cross-section standards EXFOR and CINDA Reaction model principles and cross-section predictions The spherical optical model The compound nucleus model Nuclear level densities The components of the potential Reaction model codes Validation of predicted data Error and co-variance data Nuclear data evaluation Evaluated nuclear data files The ENDF format Point-data representation in ENDF Resonance parameter data in ENDF The SLBW formalism The MLBW formalism The RM formalism Other RRR formalisms The unresolved resonance region Nuclear data processing Linearization Resonance reconstruction Doppler broadening Calculation of Doppler broadened resonance cross-sections Cross-section multigrouping Weighting function and self-shielding Problem-independent multigroup cross-section set Obtaining effective cross-sections in the resonance region Self-shielding in the URR Effect of Doppler-broadening on the reaction rate Group cross-sections in the resonance region for thermal neutron reactors Group-to-group transfer cross-sections Thermal scattering cross-sections Production cross-sections for particles other than neutrons Transport cross-sections Multigrouping the cross-sections from a linearized grid Cross-sections for shielding applications Displacement cross-sections Nuclear data processing codes Multigroup data validation Summary Exercise problems References Further reading Chapter-3---Types-of-nuclear-reactors_2021_Physics-of-Nuclear-Reactors Types of nuclear reactors Introduction Classifications of nuclear reactors Based on materials used in reactors Other classifications Thermal neutron reactors Graphite moderated and water cooled reactors RBMK reactors Gas-cooled graphite-moderated reactors Boiling water reactors Pressurized water reactors Russian pressurized water reactors Pressured heavy water reactors Fast neutron reactors Breeding Sodium-cooled fast neutron reactors Future energy systems Fusion reactor systems Lawson criteria Inertial confinement Magnetic confinement Early fusion devices Fission-fusion hybrids Particle accelerators [11] LINACs and tandem accelerators Cyclotrons Synchrotron radiation sources Large hadron collider at CERN [13] Accelerator-driven subcritical systems (ADSS) Operational aspects of accelerator-driven system and its interface with reactor Overview of ADSS projects around the world The CERN energy amplifier The Los Alamos waste transmuter Other concepts One way coupled booster reactor concept in BARC More topics of interest Exercise problems References Further reading Chapter-4---Homogeneous-reactor-and-neutron-diffu_2021_Physics-of-Nuclear-Re Homogeneous reactor and neutron diffusion equation Introduction Neutron density and flux Neutron continuity equation Transport cross-section Fick's law of neutron diffusion Physical interpretation Fick's law limitations Diffusion equation Boundary conditions for the steady-state diffusion equation Neutron diffusion in nonmultiplying media A point source in an infinite medium Line source in an infinite media Plane source in a finite medium (bare slab) Physical meaning of diffusion length Neutron diffusion in a multiplying media Time-dependent flux in a slab reactor Finite bare cylindrical reactor Reflected infinite slab reactor Reflector savings Neutron life cycle in a thermal reactor Slowing down equation Moderation of neutrons in a medium having A>1 Slowing down in an infinite medium of moderator and resonant absorber Neutron thermalization Monoatomic gas as moderator Bound moderator atoms in liquids and solids Water Heavy water Graphite Maxwellian distribution of neutron flux Reaction rate in a Maxwellian spectrum Comparison of PWR spectrum and FBR spectrum Two-group diffusion theory Multigroup diffusion equation Numerical solution of the diffusion equation in 1-D slab geometry Center mesh finite differencing scheme Boundary conditions Corner mesh finite differencing scheme Summary and more topics of interest Exercise problems References Further reading Chapter-5---Methods-of-solving-neutron-transport_2021_Physics-of-Nuclear-Rea Methods of solving neutron transport equation Introduction Assumptions in the neutron transport theory Neutron-nucleus interaction cross-sections Differential cross-section The neutron transport equation Formulation of the neutron transport problem Interface conditions Boundary conditions Time-independent transport equation: Fixed source problem Time-independent transport equation: k-eigenvalue problem The eigenvalues of neutron transport equations and their relations Solution to the neutron transport equation Multigroup approximation: Energy discretization The PN method P1 approximation The discrete ordinate method Numerical solution to the neutron transport equation The spatial discretization and sweeping scheme Limit on the size of spatial meshes and negative flux issue Source iteration method for multidimensions Discrete ordinate quadrature sets The double PN quadratures Discrete ordinate quadrature sets for multidimensional problems Level symmetric quadrature set The Ray effect The synthetic acceleration schemes The corrective equation The diffusion synthetic acceleration The transport synthetic acceleration The integral form of transport equation Solution to the integral transport equation Collision probability method Collision probability for slab geometry Collision probability for annular geometry Boundary condition Interface current method Discretized flux equation Properties of the collision probability matrices Calculation of collision probabilities in two-dimensional geometry Region-to-region collision probabilities Region-to-surface escape probability Surface-to-surface transmission probability Computation of collision probability integrals Use of boundary condition and solution to Collision Probability equations Method of characteristics approach MOC solution to one-dimensional slab geometry MOC solution for two-dimensional geometry Neutron tracking and quadrature weights Tracking of neutron trajectories Quadrature weights for polar and azimuthal angles Solution to the multigroup MOC equation Monte Carlo neutron transport Validity of Monte Carlo estimates Chebyshev inequality Law of large numbers The central limit theorem Random variable Uniform random variable Sampling from continuous distribution Simulating neutron transport with Monte Carlo method Simulating a neutron's history Sampling of source neutrons Sampling for neutron direction cosine from isotropic distribution Sampling for type of collision Tally computation Collision estimator More topics of interest Exercise problems References Chapter-6---Fuel-burnup--fuel-management--and-fuel_2021_Physics-of-Nuclear-R Fuel burnup, fuel management, and fuel cycle physics Introduction Fuel burnup and its effects Energy production Changes in fuel composition and fission product buildup Units for measuring fuel burnup Fission product buildup Reactivity changes, effect of burnable poison, and absorber burnup Changes in kinetic parameters Bateman equation and solutions Solution to the Bateman equations Analytical methods Matrix exponential method Eigen-value methods Numerical recipes for solution of the Bateman equation Input data bases and reactor-specific cross-section sets Decay heat estimations Dose rates and radiotoxicities In-core fuel management Principles of continuous and batch refueling, in-core burnup and discharge burnup Out-to-in fueling In-to-out fueling Scattered fuel loading/checkerboard scheme Refueling aspects of BWR Refueling aspects of PHWRs Fuel management in PWRs Fuel management in FBRs Fuel doubling time Fuel management algorithms Long life cores Fuel utilization Components of a fuel cycle U-Pu fuel cycle Thorium fuel cycle FBR fuel cycle and closed fuel cycle System doubling time More topics of interest Exercise problems Additional exercises References Chapter-7---Nuclear-reactor-kinetics_2021_Physics-of-Nuclear-Reactors Nuclear reactor kinetics Introduction Definition of important kinetics parameters Prompt and delayed neutrons Delayed neutrons Delayed photo neutrons The point kinetics equations Derivation of point kinetic equations The solution of point kinetics equations Step change in reactivity Relation between reactor period and reactivity Importance of delayed neutrons Prompt jump/drop Reactivity unit as Inhour One group of delayed neutrons Ramp reactivity change Periodic change in reactivity Inverse point kinetics Kinetics of a subcritical reactor Subcritical reactor equilibrium power Power behavior with neutron source addition or withdrawal Power at criticality with ramp reactivity addition Instantaneous reactor period Safe approach to criticality Inverse count rate plot The maximum permissible reactivity addition rates during startup Numerical solution of point kinetics equations Simple example of determination of phi Solution of Eq. (7.77) Solution of Eq. (7.77) with A in two parts Reactivity feedback in nuclear reactors Factors causing reactivity change Thermal reactor feedback reactivity Fast reactor reactivity feedback Reactivity coefficients Static coefficients Dynamic reactivity coefficient Long irradiation reactivity effects in reactors Xenon poisoning effects Equilibrium xenon concentration Xenon poisoning after shutdown The buildup of samarium poison Other fission product poisons Reactor stability analysis Linear stability analysis Stability of zero power reactor Stability of reactor with feedback Frequency domain methods of stability analysis Zero power transfer function (ZPTF) Feedback transfer function (FBTF) Dynamic power coefficient of reactivity Response of reactor for sinusoidal reactivity input Nyquist stability criterion Contour mapping Information about relative stability Nyquist stability: ZPTF Nyquist stability: FBTF Nonlinear stability analysis Neutronic coupling in a reactor Size effect Shape effects Safety concerns Xenon oscillations Affected systems Controlling spatial oscillations Example: PWR axial control Space time kinetics Necessity of space-dependent modeling Evolution of space time kinetics methodology Solution of multigroup diffusion equations Flux factorization method Amplitude function Shape function Coupled neutron kinetics and thermal hydraulics [20] Case study [19-21] Summary Annexure Formal statements of stability and Lyapunov's direct method for global stability Lyapunov stability Asymptotic stability Exponential stability and rate of convergence Bounded-input-bounded-output stability Global stability of nonlinear systems Lyapunov's direct method for nonlinear stability Lyapunov's indirect theorem Exercise problems References Chapter-8---Nuclear-reactor-safety_2021_Physics-of-Nuclear-Reactors Nuclear reactor safety Introduction Broad safety objectives Defense in depth Safety during reactor operation The three Cs of nuclear safety Risk evaluation Safety assessment (regulatory authorities) Fundamental safety principles and safety framework [2, 9-11] Fundamental safety principles Safety framework Safety requirements and graded approach in safety Plant states Acceptance criteria Safety features in a NPP Inherent safety Reactor control system Reactor protection system Emergency core cooling system Reactor containment Active and passive safety features Analysis for safety assessment Deterministic safety assessment [12-22] The objective Evolution of DSA A case study of DSA (postulated rod withdrawal accident in a PWR) [18-22] Reliability analysis of safety systems [4, 23-30] Approach and aspects of reliability analysis Design and system function System boundary and system failure modes Common cause failures Beta (β) factor model Alpha factor model Human reliability analysis Human cognitive reliability model Data collection Reliability quantification Other issues Summary Probabilistic safety assessment: Level-1, Level-2, and Level-3. Case studies [31-54] Introduction approach to PSA Basis and approach Level-1 probabilistic safety assessment Management and organization Collection of information on design and operation of the plant Identification of sources of radioactivity and accident initiators Success criteria formulation and supporting analysis Accident sequence analysis Systems analysis Human reliability analysis Dependent failure analysis Data assessment and parameter estimation Model integration and core damage frequency quantification Sensitivity and uncertainty analysis Interpretation of results Quality assurance aspects of PSA Documentation of the analysis: Display and interpretation of results Computer programs available to perform Level-1 PSA Level-2 probabilistic safety assessment Interface between the Level-1 and Level-2 PSA Containment analysis and accident progression Quantification of the containment event tree and categorization of the endpoints into release categories Radiological source term analysis for the release categories Uncertainty analysis and sensitivity analysis Documentation of the analysis: Display and interpretation of results Codes available to perform Level-2 PSA Level-3 probabilistic safety assessment Interface between Level-2 analysis and Level-3 analysis Radionuclide release characterization Meteorological data and other information sources Environmental transport and deposition Radiological exposure and dose assessment Protective action (counter measure) modeling Economic consequences Uncertainty analysis and sensitivity analysis Documentation of the analysis: presentation and interpretation of results Programs available to perform Level-3 PSA Use and development of probabilistic safety assessment: Case studies Conclusion Uncertainty analysis in reliability and risk assessment [55-60] Introduction Types of uncertainty Input data (parametric) uncertainties Model uncertainty Uncertainty propagation [59, 60] Uncertainty methodology in PSA Monte-Carlo technique Discretization Method of moments Method of adjoint operator Importance and sensitivity analysis Importance measures Sensitivity analysis Major nuclear reactor accidents The three Mile Island-2 accident [2, 3] The Chernobyl accident [2, 3, 61, 62] Cause of accident The accident propagation sequence The event: April 25, 1986 The event: April 26, 1986 Actions initiated The Fukushima accident [3, 63] Brief history of the nuclear safety Summary Exercise problems References Chapter-9---Design-methods-and-computer-code_2021_Physics-of-Nuclear-Reactor Design methods and computer codes Introduction Methods of neutronics analysis in thermal reactors Neutron cross-section library for lattice and core calculations Resonance cross-section treatment Narrow resonance approximation Intermediate resonance approximation Heterogeneous system Fuel assembly analysis methods Supercell methods Direct transport methods Improvements in homogenization Description of lattice analysis codes Indian lattice analysis codes International lattice analysis codes Methods for 3-D whole-core analysis Methods using assembly or pin homogenization Finite difference method Nodal method Methods without homogenization or one-step methods Description of whole-core analysis codes Codes using assembly homogenization or pin-cell homogenization (India) A few examples of codes using fuel assembly homogenization or pin-cell homogenization (world) Codes using single-step methods Methods of neutronics analyses in fast reactors Self-shielding calculations using subgroup/probability table method Theory of probability table method Effective cross sections using subgroup parameters Heterogeneity correction to cross sections using subgroup/probability table method ABBN-90 group constants system ERANOS system Indian codes and methodology for fast reactor analysis Steady-state deterministic neutronics analysis using FARCOB system Steady-state stochastic neutronics analysis using OpenMC Safety analysis methods and codes used More topics of interest References Chapter-10---Experimental-and-operational-reacto_2021_Physics-of-Nuclear-Rea Experimental and operational reactor physics Introduction Neutron monitoring: Neutron detectors and instruments Modes of detector operation Pulse mode of operation Current mode of operation Detectors used for reactor start-up/power regulation Ion chambers Fission counter BF3 proportional counter 10B-lined neutron detector Self-powered neutron detector In-core and out-core detectors Overlapping regimes for neutron monitoring during a reactor start-up Gamma sensitivity of neutron detectors Neutron flux measurement using activation method Characteristics of neutron spectrum in nuclear reactors Thermal neutron spectrum (Maxwellian spectrum) Intermediate neutron spectrum Fast flux-Fission neutron spectrum Foil activation methods Theory of activation method Self-shielding factor Flux depression factor: Activation detector properties Gold foil Copper foil Indium foil Manganese foil Thermal flux measurement and cadmium ratio Effective cadmium cut-off Measurement of fast neutron fluxes Measurement of Westcott spectrum parameters ``r´´ and ``T´´ Neutron spectrum measurement One group case-total flux Two-group flux measurement Measurement of neutron spectrum in arbitrary number of groups Overview of SAND-II spectrum unfolding code Start-up or commissioning experiments in reactors Approach to criticality and subcritical multiplication measurements Nuclear instrumentation for start-up Neutron sources for reactor start-up Spontaneous fission neutrons Photo neutrons External neutron sources Neutron multiplication in a subcritical system Inverse multiplication (count rate) curves Reactivity addition rate and reactor period during first approach to criticality Reactivity measurements Asymptotic period method Rod drop method Subcritical counts method Inverse kinetics method Measurement of integral and differential worth of control rods Low power physics experiments in thermal reactors Calibration of the reactivity worth of regulation and protection devices Dynamic testing and measurement of worth of reactor protection systems Temperature coefficient measurement Absolute power calibration and thermal power measurement Measurement of xenon load Reactor start-up in sodium cooled fast reactors Initial fuel loading and FAC Control rod worth estimation Isothermal temperature coefficient measurement Power and flow coefficient measurements Power raising operation Failed fuel detection Failed fuel detection in thermal reactor systems Failed fuel detection in fast reactor systems Fast Breeder Test Reactor experiment of fuel pin clad rupture detection Regulatory aspects and reactor experimentation and operation Some critical/subcritical experimental facilities Examples of thermal reactor critical facilities ZERLINA PURNIMA I, II, and III KAMINI Advanced Heavy Water Reactor Critical Facility (AHWR-CF) Subcritical facilities with source MUSE YALINA BRAHMMA Some fast critical and experimental systems The zero power reactor (ZPR) and zero power physics reactor (ZPPR) facilities The Russian BFS critical facilities The MASURCA critical facility The experimental breeder reactor-I (EBR-I) The experimental breeder reactor-II (EBR-II) The fast breeder test reactor More topics of interest Exercise problems References Chapter-11---Radiation-safety-and-radiation-shiel_2021_Physics-of-Nuclear-Re Radiation safety and radiation shielding design Introduction Basic radiation physics Fundamental definitions and concepts Alpha particles Bragg curve Beta particles Range of β particles Photons Photoelectric interactions Compton scattering Pair production Photon attenuation in materials Radiation dosimetry Radiation dose and units Radiation dose equivalent Radiation exposure External and internal exposures Radiation dose calculations Gamma radiation dose calculations by point kernel methods Point source in a vacuum Point source with a shield Extended sources Example: Line source Example: Disc source Buildup factor Dose rates with buildup factors Taylor's form Neutron radiation attenuation Boltzmann transport equation Discrete ordinates method Monte Carlo method Cross-sections for shielding applications Neutron irradiation effects in metals Displacement per atom Gamma shields Lead Bismuth Tungsten Iron and steel Concrete Half-value and tenth-value layers Neutron shields Hydrogenous materials Boron and its compounds Lithium Reactor sources of radiation Reactor core and vessel Reactor coolant system Steam and turbine system Radioactive waste system Radioactive sources in fuel cycle facilities Radiation dose limits for exposures Occupational dose limits Dose limits for members of the public Supervised areas Controlled areas Zone classification Shield design for reactors Interaction between shielding design and core design Low neutron leakage core design in LWR and FR Core monitoring and shield design in a pool type fast reactor Examples of shield design PHWR: TAPS 3 and 4 reactor Fast reactor: PFBR Secondary sodium activity computation in PFBR Complementary shielding Line of sight Cylindrical duct Rectangular duct Transport calculations Example: Streaming problem in AHWR top-shield Example: Apsara model for streaming through gaps in the transfer arm in PFBR Shield design methods in fuel cycle facilities Reprocessing plant Fuel fabrication Fuel assembly Waste disposal Example: Shield requirement estimation for a typical fuel pin storage room Summary and more topics of interest Exercise problems References Further reading Chapter-12---Nuclear-reactors-of-the-future_2021_Physics-of-Nuclear-Reactors Nuclear reactors of the future Introduction Generation IV reactors Gen IV reactor types Very high temperature reactor Sodium-cooled fast reactor Lead-cooled fast reactors Gas-cooled fast reactor Molten salt reactor Super critical water-cooled reactor The Gen IV parameters Reactor physics challenges Indian high temperature reactors Compact high temperature reactor Innovative high temperature reactor Conclusions Small and modular reactors Introduction General features Size based Design based Classification of SMRs Temperature and power range LWR/PHWR water reactors A1. PHWR-220 (NPCIL, India) A2. AHWR-300 (BARC, India) Fast neutron spectrum reactor A1. GE-Hitachi (PRISM) A2. SVBR - 100 A3. BREST-OD-300 High temperature reactors HTR-PM (Tsinghua University, China) Molten salt reactors Integral molten salt reactor (Terrestrial Energy, Canada) The impact of SMRs Conclusions Traveling wave reactors Introduction The fuel burnup wave The genesis The mechanism Characteristics Requirements for sustained fuel burnup wave The necessary conditions A1. Feoktistov approach A2. The CANDLE fuel burnup A3. The van Dam approach A4. UC Berkeley approach The neutronics The constraints Mathematical methodology Mathematical approach A1. Steady state A2. Transient state General results Different types of B&B reactors Edward Teller HTGR TWR The CANDLE reactor The TerraPower standing wave reactor UC Berkeley SWR Conclusions Review questions References Further reading Index_2021_Physics-of-Nuclear-Reactors Index A B C D E F G H I K L M N O P Q R S T U V W X Y Z