Neutron transport (also known as neutronics) is the study of the motions and interactions of neutrons with materials. Nuclear scientists and engineers often need to know where neutrons are in an apparatus, in what direction they are going, and how quickly they are moving.

Neutron Transport equation fully describes neutron population elegantly. But it is difficult to solve by hand! we define a number of simplifying assumptions to make it treatable.

Aspects of neutron creation and transport are introduced as needed—neutron energy birth spectrum, flux, current, and many different types of neutron cross sections (fission, capture, scattering, total).

The Boltzman transport equation is a balance statement that conserves neutrons. Each term represents a gain or a loss of a neutron, and the balance, in essence, claims that neutrons gained equals neutrons lost.

1. Understand how Neutron Diffusion explains reactor neutron flux distribution 2. Understand origin, limitations of Neutron Diffusion from: • Boltzmann Transport Equation, • Ficke’s Law 3. Solution of One-Group Neutron Diffusion Equation for: • Cubical, • Cylindrical geometries (via separation of variables technique) 4.

This chapter introduces some basic elements of the neutron transport equation, such as the concept of neutron flux, cross sections, current, reaction rate, etc. The steady-state neutron transport equation is derived based on the neutron balance principle.

We now derive the neutron Boltzmann equation, also called the neutron transport equation, to characterize a relatively small number of neutrons colliding in a vast sea of nuclei. Mathematically, a neutron is a neutral point particle, experiencing deflection from or capture by a nucleus at the center of an atom.

This textbook provides a thorough explanation of the physical concepts and presents the general theory of different forms through approximations of the neutron transport processes in nuclear reactors and emphasize the numerical computing methods that lead to …

[You will learn about the Boltzmann transport equation later in the course but a very brief introduction is given here.] The Boltzmann transport equation describes the transport of neutral particles from one collision with an atom to another. It is a ‘balance’ statement

the transport of particles, whether they are photons of electromagnetic radiation including light photons, x-rays or gamma-rays, neutrons, or charged particles such as electrons and protons, through a host medium. Some examples of transport processes are: 1. Neutron distributions in nuclear reactors. 2. Shielding of radioactive sources. 3.