Dimensionless representation of material functions

As a rule process engineering measurements in the laboratory are carried out with the aim of supplying design data for the industrial plant. For this purpose it is required that a complete similarity exists between the process on laboratory-scale and that on industrial-scale, which is expressed in identical numerical values for the process-describing numbers Hi = idem (see Section 1.6, Dimensional analysis). 

Assuming that a non-Newtonian fluid participates in the process and the Reynolds number Re ff = is the applying process number. Since /Zeff depends for 

Pawlowski [428, 429] indicated that the rheological properties of many non-Newtonian fluids can be described by material parameters, whose dimensional matrix had the rank of 2. By reasonable combination these material parameters could be transformed into two dimensional material constants  

Upper plot aquaeous PAA and CMC solutions from [195] middle and lowest plot Wi y) and /reffC ) for aquaeous xanthan 2.5% and PAA 1.0 and 1.5% solutions, resp. from [196]. 

H - a characteristic viscosity constant, and 0-a characteristic time constant 

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