Found inside – Page 128... dynamics of a reactor controlled by xenon poisoning is investigated . ... kinetics equations excite fundamental mode xenon oscillations . for a reactor ... Found inside – Page 42These tasks called for a simultaneous calculation of the criticality and thermal states of both the apparatus and the entire ... Table I gives both theoretical and experimental values of the temperature effect , xenon poisoning effect and the ... Found inside – Page 42These tasks called for a simultaneous calculation of the criticality and thermal states of both the apparatus and the entire ... Table I gives both theoretical and experimental values of the temperature effect , xenon poisoning effect and the ... Found inside – Page 468For the calculation of neutron lifetime in a lattice the homogenisation method is used with the utilisation of formulae ... fuel charge and of the time of possible re - starting of the reactor for a given reactivity in the case of xenon poisoning . Found inside – Page 862... ( temperature , Xenon poisoning , control ) . ... Here the only family of characteristics is defined by the differential equation dn dt = 1 . Found inside – Page 424Publications Mathematics and Computers for accident analysis and solves the dynamics equations assuming constant xenon and samarium concentration in the reactor during the transient . A second version has been written for the ... Fundamentals of Nuclear Reactor Physics offers a one-semester treatment of the essentials of how the fission nuclear reactor works, the various approaches to the design of reactors, and their safe and efficient operation . Found inside – Page 14The modes whose eigenvalues are real give rise to the rapid change in flux due to the poison insertion or removal . ... Hence , the values of p for these modes will be negative and large compared with the real part of p for the xenon modes . ... From this last equation it is seen that ch is independent of time , and depends on the mode eigenvalue , on the magnitude of the oscillation in a given cycle , and on ... Aimed at those studying, researching and working in the nuclear engineering field, this book offers nuclear reactor technology vendors, nuclear utilities workers and regulatory commissioners a very unique resource on how to access reliable, ... This book is intended to provide an introduction to the basic principles of nuclear fission reactors for advanced undergraduate or graduate students of physics and engineering. Found inside – Page 41Equilibrium xenon poisoning , a balance between the rates of formation and loss ... of the equilibrium poison equation can be found in reference 12 . Found inside – Page 10III - 10 This last ratio corrects the steady state xenon poisoning for the offect of the eight inch lattice for hellum and nitrogen . ... The only part of the four part factor formula yot unexplained 18 the description of the thermal utilization calculation . Found inside – Page 86Effects of fission product poisons are omitted in this equation so that hour to ... a time scale in which changes in xenon poison concentration are small. Found inside – Page 8State equations are usually in the form of quasi - steady state diffusion equations with poison distributions or fuel loading patterns as the control variables . Reactor cores are frequently " nodalized " or finite - differenced and various ... Found inside – Page 72sets of equations for the individual w . ... the xenon poisoning , and because in reactions with solid moderators the differthe time dependence of the equations for the flux ence between the physically significant threshold with and temperatures ... This book is intended for nuclear engineers, physicists, applied mathematicians, and nuclear engineering undergraduate and postgraduate students. Found inside – Page 4874REACTORS 4874 calculation of , 17 : 22824 thermionic cells for ... ( T ) , 20 : 36439 xenon poisoning , equations for calculation as function of time after ... Found insideThe book emphasizes the importance of non-Fickian diffusion in heterogeneous systems as the core of the nuclear reactor, as well as different variations of diffusion processes in nuclear reactors which are presented to establish the ... Found inside – Page 346... equations in a reactor cell with a high - shielded burnable poison . ... 2496 ( IAE — 3834 / 4 ) Experimental results of axial xenon oscillations ... Found inside – Page 1The diffusion equation, Fisk’s Law, and steady state/time-dependent reactor behavior. Numerical and analytical solutions are also covered. The text has full color illustrations throughout, and a wide range of student learning features. Found inside – Page 649The operating power and the temperature reactivity coefficient of reactivity of the RV - 1 swimming pool reactor have both been determined by fitting reactivity measurements during xenon transients to the equations governing xenon poisoning ... Nowadays, this multimedia has about 800 slides and the text is in Chinese, English, French, Russian and Spanish. The version in Arabic is coming soon. Found inside – Page 55Let the equation for the boundary be written in the form g ( N ) = 0 . In our example this takes the form ... 2 The Xenon Poisoning Peak H * = H * = # + * pfo + [ * * * * w * ] [ mx + s ] + a + p = fo + la + MN + S . ( 15 ) . The adjoint equations will then ... Found inside – Page 918Application of the Equations Derived in the Previous Section to Calder - Hall Type Reactors 1 . We will substitute ... If our study were to include the poisoning effect of xenon then equation ( 8 ) must be written in the form ( 4 ] Αχλς du ( TU - Tc in ) ... Found inside – Page 188Strong ( high cross section ) neutron absorbers of this nature are called “ poisons ” -hence the term “ xenon poisoning . ... Xe Be + 135 Cs 9.17h The quantity of each isotope in the chain can be described by an equation very similar to Eq . 6.9 . Found inside – Page 61Procedure In performing the xenon poison test , the reactor is run at steady ... To analyze the test data , the xenon equations are programmed on the analog ... Found inside – Page 69Table 6 Poison number densities calculated with equations 6.2 Outer control region Average thermal flux 2.3 1013 n / cm2 ... 3.5029.10-4 3.7289.10-4 Macroscopic thermal poison cross section at beginning of cycle when xenon equilibrium is ... Found inside – Page 37B Bi 0.00755 i The high value of in , above , causes difficulty in computation with the reactor equations . For the purposes of this ... another term to Equation ll for the effect on reactivity of xenon poisoning . REACTOR MATERIALS Fuel Elements ... Found inside – Page 1573.4.3.2 Xenon (Xe-135) Poisoning Xenon is produced as a direct fission ... For I-135 (i.e., the direct precursor of Xe-135), the rate equation for the ... Found inside – Page 15110. l.2 Calculation of Thermal Poisons The effect of xenon, samarium, fission products, and the higher isotopes were all ... The equation for steady-state xenon poisoning as developed by reference (13) is Zer' (.059)(tr GRT") ZA123 (2.1 x 10-74 ... Found insideThis book provides current and future engineers with a single resource containing all relevant information, including detailed treatments on the modeling, simulation, operational features and dynamic characteristics of pressurized light ... Found inside – Page 332start - up . Of course , eventually , all xenon poison will decay to cesium135 , and at some future time it will be possible to raise the power level in the reactor . ... The equation for the concentration of xenon - 135 can be written ( Refs . 1 and 2 ) ... Found inside – Page 307nonlinear model of , 59 Nordheim - Fuchs model of , 57 - 58 poisoning effects in , 55 - 56 pressure effects in , 54 - 55 with ... 60 - 64 delayed - neutron one - group model for , 44 linearized kinetic equation for , 64 - 65 response to step change in reactivity , 44 - 49 ... criterion , 128 of systems with time delay , 89 - 94 theorem of , 76 - 79 of time - varying systems , 100 - 101 Xenon poisoning , 55 - 56 INDEX 307. In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. Found inside – Page 111 - Gyecem Equations . 2 . 1 . 2 - General Solution . 2 . 1 . 3 - Conditions Imposed to the General Solution . 2 . 1 . 4 - Reactor Parameters . 2 . 1 . 5 - Solution of a Particular Problen . 2 . 2 . - Xenon Poisoning in the Reactor . 2 . 2 . 1 - Systein ... Found inside – Page 285... 140 Simulation of Bateman equation , 176 kinetic equations , 170 logarithmic reactor , 172 nonlinearities , 273 time ... 113 Weighting function , 13 Xenon oscillations , 129 Xenon poisoning ( see Poisoning ) Xenon simulation ( see Simulation ) ... Found inside – Page 439933145 Homogenized diffusion approximations to the neutron transport equation. Larsen ... yet detailed, formulation for diverse areas of applications, including depletion analysis, xenon poisoning, reactor kinetics, and pulsed neutron problems. This comprehensive volume offers readers a progressive and highly detailed introduction to the complex behavior of neutrons in general, and in the context of nuclear power generation. Law, and nuclear engineering undergraduate and postgraduate students Homogenized diffusion approximations the! 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