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Influence of Rheological Behavior of Purely Viscous Fluids on Analytical Residence Time Distribution in Straight Tubes
Author(s) -
Delaplace G.,
Thakur R. K.,
Bouvier L.,
Leprêtre C.,
Ilnyzckyj C.,
André C.,
Nouar C.
Publication year - 2008
Publication title -
chemical engineering and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.403
H-Index - 81
eISSN - 1521-4125
pISSN - 0930-7516
DOI - 10.1002/ceat.200700118
Subject(s) - rheology , residence time distribution , dilatant , laminar flow , mechanics , herschel–bulkley fluid , shear thinning , residence time (fluid dynamics) , isothermal process , bingham plastic , non newtonian fluid , newtonian fluid , thermodynamics , homogeneity (statistics) , materials science , flow (mathematics) , mathematics , physics , geotechnical engineering , geology , statistics
In an effort to better understand the homogeneity of heat treatment of foodstuffs in holding tubes, the cumulative residence time distribution function is derived for a Herschel‐Bulkley fluid from fully developed laminar flow in a straight circular tube under isothermal conditions when diffusional effects are negligible. The proposed analytical solution can be reduced to solutions for Newtonian, shear‐thinning, dilatant, Bingham fluids by setting particular rheological parameters, and consequently, it is possible to successfully explain the dependence of residence time distribution on fluid properties for almost all of the rheological models used for time‐independent purely viscous fluids.