How to set same Variables with different Values [closed]

Question

I have a pipe with different insulation sections and a fluid flowing through. I need to calculate the fluid Temperature at the end of every section, to estimate the temperature for the next section. I build my Model with Modules, the equations stay quite the same, but the characteristics (variables) for my insulation varies. For example the Thermal Diffusivity α=λ/(ρ *cp), changes per section. So i dont want to rewrite a Module for every single section. I just want a single Module to call up a Table for the specific section (for simplicitiy and preventing errors). My issue is that the variables i set, are global and hence i have to build many modules and rename my variables. Is there a possibiliy to set same variables, but different value? Is it also possible to set a single Matrix with rows i call up, which represent each section?

For example:

m=Matrix[Section1{λ=1,cp=2,ρ=3},Section2{λ=4,cp=5,ρ=6},Section3{λ=7,cp=8,ρ=9}]

S1[i1_, m_] := Module[{ α=λ/(ρ *cp)}]

S2[i2_, m_] := Module[{ α=λ/(ρ *cp)}]

Thank you in advance

Answer 1

There are many ways to go about such calculations. Here is one where the parameter sets are encapsulated with Association, the Wolfram Language's equivalent of what are called hash-tables or dictionaries in other programming languages.

sectionParams =
  {Association[{λ -> 1, cp -> 2, ρ -> 3}],
   Association[{λ -> 4, cp -> 5, ρ -> 6}],
   Association[{λ -> 7, cp -> 8, ρ -> 9}]};
s[sp_] := sp[λ]/sp[ρ] /sp[cp]

Then the calculation is reduced to

s /@ sectionParams

{1/6, 2/15, 7/72}