I am currently a senior high school student taking IB and I chose to write an extended essay in physics. The essay is about the diffusion of a gas with the research questions:

"How does the diffusion of a gas vary with distance from its origin?"

"What factors affect the variation?"

I was already able to gather data for this but I'm having difficulty with relating it to the compressible Navier-Stokes equation. My data only has 1 dimension of movement so my data is a concentration vs time for increasing distances from the point source. The data I gathered is either natural-logarithmic or follows an inverse law of 1/t.

I would like to ask the following:

1. Is it feasible for me to do so? Considering that my data is low-dimensional.
2. Are there any sources/websites/books that I can read that might help me with my research?

I would really appreciate any answers to the questions above and possibly even an explanation of how the Navier-Stokes equation might explain diffusion (I am still trying to read up on it but I can't seem to find the right source to help me learn).

I am currently a senior high school student taking IB and I chose to write an extended essay in physics. The essay is about the diffusion of a gas with the research questions:

"How does the diffusion of a gas vary with distance from its origin?"

"What factors affect the variation?"

I was already able to gather data for this but I'm having difficulty with relating it to the compressible Navier-Stokes equation. My data only has 1 dimension of movement so my data is a concentration vs time for increasing distances from the point source. The data I gathered is either natural-logarithmic or follows an inverse law of 1/t.

I would like to ask the following:

1. Is it feasible for me to do so? Considering that my data is low-dimensional.

I would really appreciate any answers to the questions above and possibly even an explanation of how the Navier-Stokes equation might explain diffusion (I am still trying to read up on it but I can't seem to find the right source to help me learn).