Dimensional analysis of flow of viscoelastic fluids

Dimensional analysis of viscoelastic flow phenomena is analyzed in general terms, and it is shown that the method can only be used for “rheologically homologous” fluids (defined rigorously in the paper). Few generally useful results can be obtained from dimensional analysis when the condition of homologousness is met by making experiments with the same fluid for which predictive equations are sought. Other ways of meeting the condition are discussed, and some results of a general nature are obtained.