Non-dimensionalization of a Partial Differential Equation

asked 2022-04-20 06:20:22 +0100

Hello all, I am interested in replacing the variables of a Partial Differential Equation (PDE) for their non-dimensional counterparts and then group together the dimensionless numbers. I think I would only need to be able to replace the variables and also the derivative operators (as in a change of variables $\hat{x}=x/L$), grouping the dimensionless numbers can be done by hand.

It is a similar procedure to what is being done here: ( . I was wondering if this can be done with SAGE.

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