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In summary, there are similar equations in Lamarsh and Hamilton books, as well as other texts, that discuss reflected cores in various geometries. These equations determine the criticality of the core by considering neutron flux and absorption in the core and reflector. R. Serber's primer also discusses this topic, specifically focusing on certain types of core/reflectors. However, his equations contain empirical coefficients that are specific to each system.

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Astronuc

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Lamarsh, D & H, and other texts will have some discussion of reflected cores in plate, box, cylindrical, or spherical geometries.

The criticality is determined by what neutron flux/current leaks out of core and what is reflected, and what is absorbed in the core. In general, the neutron (fission) sources are exclusive to the core, and the reflector does not contain fission sources, but only those neutron leaking from the core. The reflector simply reflects some portion of the neutrons which leave the core. Neutrons in the reflector either scatter back into the core, out of the reflector through the outer surface, or are absorbed (usually without producing more neutrons). Some reflectors may provide (n, 2n) reactions, but there is an energy dependence.

Serber's primer deals primarily with certain types of core/reflectors (tampers). I found a copy of the LA-173, and it discusses some of the details. Basically Serber's equations contain some empirical coefficients which are system specific/dependent.

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law&theorem

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Saif al-dean said:Dears

Is there any similar equation (in Lamarsh or hamilton books) like the one in the attached picture(equation1)?

From where R. Serber derived this one?

Best regards

You mean the book INTRODUCTION TO NUCLEAR ENGINEERING wrote by Lamarsh ?

And which page of the question ?

No, there is not a universal equation that can be found in all editions of Lamarsh or Hamilton's books. Each author may have their own specific equations related to Dears, depending on the subject matter of their book.

The equation for calculating Dears can vary depending on the context. It is best to refer to specific books or resources for the most accurate equation for your specific application.

No, the Dears equation is usually specific to a particular field of science, such as nuclear engineering or fluid dynamics. It is important to use the correct equation for your specific area of study.

Yes, the Dears equation can be applied to various real-world scenarios, such as predicting the concentration of a chemical in a solution or determining the flow rate of a fluid through a pipe.

Like any scientific equation, the Dears equation may have limitations depending on the circumstances in which it is applied. It is important to understand the assumptions and conditions for which the equation is valid.

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