A Matrix Generalisation of Dimensional Analysis: New Similarity Transforms to Address the Problem of Uniqueness
نویسندگان
چکیده
On the verge of the centenary of dimensional analysis (DA), we present a new matrix generalisation of the Buckingham Theorem on which it is based. The proof is based on a solution we have found for inverting non-square block matrices and gives rise naturally to a new pair of transforms the similarity transform (S) that converts physical dimensional data into dimensionless space and its inverse (S’). Although it is well known that DA: a) reduces the number of free parameters,
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