Dimensional Homogeneity of a Physical Content

In the second step, the dimensional homogeneity of the physical content is checked by transferring it in a dimensionless form. Note A physical content that can be transformed in dimensionless expressions is dimensionally homogeneous. 

The aim of dimensional analysis is to check whether the physical content under examination can be formulated in a dimensionally homogeneous manner or not. The procedure necessary to accomplish this consists of two parts ... 

It has already been emphasized that a physical relationship can be of general validity only if it is formulated dimensionally homogeneously, i.e. if it is valid with any system of dimensions (section 2.1). The aim of dimensional analysis is to check whether the physical content under consideration can be formulated in a dimensionally homogeneous manner or not. The procedure necessary to accomplish this consists of two parts ... 

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