Premium
The laminar nonisothermal flow of non‐Newtonian fluids
Author(s) -
Hanks Richard W.,
Christiansen Ernest B.
Publication year - 1961
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690070335
Subject(s) - laminar flow , shear thinning , thermodynamics , mechanics , reynolds number , rheology , thermal conduction , non newtonian fluid , newtonian fluid , flow (mathematics) , viscosity , materials science , chemistry , mathematics , physics , turbulence
Abstract The equations which describe the process of simultaneous heat and momentum transport are solved to obtain the pressure loss‐flow rate relation for the laminar flow of pseudoplastic liquids through a smooth heated pipe. The rheology of the liquids is characterized by a temperature‐reduced form of the empirical Ostwald‐deWaele or power law equation. Two solutions to the basic equations are presented, a numerical integration of the heat conduction differential equation and an approximate solution based upon a simplified model of the temperature profile. Experimental data obtained with eighteen different pseudoplastic solutions and the limited data available from the literature are compared with theoretical predictions and are correlated over a 5,000‐fold range of friction factors and pseudoplastic Reynolds numbers with a standard deviation of 7.9%.