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Dimensional analysis applied to detergency
Author(s) -
Mankowich A. M.
Publication year - 1965
Publication title -
journal of the american oil chemists' society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.512
H-Index - 117
eISSN - 1558-9331
pISSN - 0003-021X
DOI - 10.1007/bf02541303
Subject(s) - dimensionless quantity , pulmonary surfactant , transcendental number , soil water , transcendental equation , mechanism (biology) , diagram , mathematics , process (computing) , substitution (logic) , set (abstract data type) , biological system , thermodynamics , mathematical analysis , computer science , soil science , environmental science , statistics , physics , numerical analysis , quantum mechanics , biology , operating system , programming language
Six fundamental soil and surfactant variables of the detergency process have been combined by dimensional analysis into a complete and valid set of three dimensionless products which represent the mechanism by a diagram comprising a family of curves of two of the products at fixed values of the third. Five soils and six surfactants have been combined into eighteen soil‐surfactant systems to validate the dimensional analysis. The dependent parameter of soil removal, normally viewed as dimensionless, was assigned the dimensions of mass times length following more subtle considerations of the mechanism. This means of representing the detergency process is a considerable improvement over the previously established transcendental relationships of selected groups of soil‐surfactant systems (2).