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On developing laminar non-Newtonian flow in pipes and channels

โœ Scribed by Ramesh C. Gupta

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
488 KB
Volume
2
Category
Article
ISSN
1468-1218

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โœฆ Synopsis

ln r * + (1 -r 2 * )(1 + r 2 * )](1 -r 2 * ) 3 d x=dr * =72r 6 * (r 2 * + 2)(ln r * ) 2 -12r 4 * (r 6 * + 15r 4 * + 5r 2 * -6) ln r * +(r 2 * -1)(17r 8 * + 83r 6 * + 3r 4 * -14r 2 * + 1):

The pressure can be obtained either from ( 23) or ( 24). It is given by

x=dr * = 216r 4 * (r 2 * + 2)(ln r * ) 2 + 12r 2 * (r 8 * -5r 6 * -53r 4 * + 3r 2 * + 9) ln r * +(1 -r 2 * )(17r 8 * -128r 6 * -171r 4 * + r 2 * + 11); (37)

๐Ÿ“œ SIMILAR VOLUMES

Unsteady, laminar flows of non-Newtonian
Unsteady, laminar flows of non-Newtonian fluids in pipes
โœ M.F. Edwards; D.A. Nellist; W.L. Wilkinson ๐Ÿ“‚ Article ๐Ÿ“… 1972 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 902 KB

Velocity profiles for unsteady laminar flows of power law non-Newtonian fluids in pipes have been derived using an explicit finite difference technique. Three unsteady flows have been considered, viz. (1) The transient start-up following the sudden imposition of a constant pressure gradient to a fl