Nondimentional Diffusion Equation

[Nefr-et]

Hello, Here is my problem: I need to turn my time dependent neutron diffusion equation into dimensionless one.. So, I have a couple of questions:

1. As neutron flux is a : "A measure of the intensity of neutron radiation in neutrons/cm2-sec" per definition, is "neutron" a unit? If yes, then:

2. A combination of what quantities, when multiplied with neutron flux, will give me a nondimentional neutron flux?

Any hints are greatly appreciated! Thank you!

 

[Nefr-et]

Resolved. Thank you.

 

[raining Pete]

1. Yes, neutron is a unit. It represents a single particle of a neutron.

2. To turn your time dependent neutron diffusion equation into a dimensionless one, you can use the following combination of quantities:

- Length: You can use a characteristic length scale, such as the mean free path of the neutrons, to normalize the spatial variable in your equation.
- Time: You can use a characteristic time scale, such as the mean neutron lifetime, to normalize the time variable in your equation.
- Neutron flux: As you mentioned, the neutron flux itself is also a unit. You can use a characteristic neutron flux, such as the maximum or average flux, to normalize the neutron flux in your equation.

By using these quantities, you can create a dimensionless neutron diffusion equation that will be valid for any system with similar characteristics. I hope this helps!