Hydrogen flow through metals is exceedingly relevant to LENR.
Is there a concise reference that lays out the fundamental equations and concepts (solubility, partial differential equation for diffusion in metal, etc.) and some engineering equations (I want to know the flow rate through an area A of metal with pressure P on one side)? What is the role of surface treatments?
I want to do something really basic: Given a piece of nickel at temperature T with area A and thickness d, with vacuum on one side and hydrogen gas at pressure P on the other, what is the flow rate of hydrogen through the metal? I have resources for the diffusivity of the nickel as a function of temperature, but I need an equation for the flow rate. Morover, what role does solubility play? It may be an important gating factor and I need more background info on this.
This is for a SAFIRE/Holmlid replication.

Need equations for hydrogen transport in metals
-
-
-
Hi Arun,
Maybe this helps.
A doctor's thesis dealing with hydrogen flow thru different metals at elevated temperatures. Technical University Munich, Schäfer, 2010
Unfortunatley in German, but it includes many equations and diagrams explaining and comparing the permeation of hydrogen thru metals like Ni or Pd.