IGNOU MPHE 26 2026 - Derive neutron transport equation in terms of angular neutron fl

Question

Derive neutron transport equation in terms of angular neutron flux for a heterogeneous multiplying assembly. Rewrite simplified form of this equation for a non-multiplying and homogeneous assembly.

19 Jan 2026

Answer :

Word Count : 492

Consider a general neutron population moving in a heterogeneous multiplying medium. Let the angular neutron flux be denoted by ( \psi(\mathbf{r}, \hat{\Omega}, E, t) ), defined such that ( \psi , d^3r , d\hat{\Omega} , dE ) gives the expected number of neutrons at position ( \mathbf{r} ), moving in direction ( \hat{\Omega} ), with energy between ( E ) and ( E + dE ), at time ( t ). To derive the neutron transport equation, we apply a balance principle to neutrons in an element of phase space. The rate of change of neutron population within this element equals the rate

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