✦ LIBER ✦

The Rayleigh and Stokes problems with an incompressible non-Newtonian fluid

✍ Scribed by Schwarz, William H.

Publisher: Springer
Year: 1964
Tongue: English
Weight: 837 KB
Volume: 13
Category: Article
ISSN: 0003-6994
DOI: 10.1007/bf00382044

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✦ Synopsis

The Rayleigh problem or impulsive motion of a flat plate has been solved using a perturbation scheme when the surrounding fluid is representable by the constitutive equations of O l d r o y d or Coleman and Noll. The shear stress and normal stress at the wall were expressed allalytically for this unsteady motion. Further, an exact solution of the equations was found for a special case of the constitutive equations.

The motion of the fluid above a harmonically oscillating plate or the Stokes problem has been determined for a special non-Newtonian fluid. The penetration of the shear ware into the fluid, the energy dissipation, the velocity profiles and the shear and normal stresses at the wall were expressed and compared to an equivalent Newtonian fluid.

Some of the features of these non-Newtonian fluids were examined in simple shearing flows, and techniques to calculate some of the material constants discussed.

--1 6 1 --

(2.6) *) ttere, an incompressible non-Newtonian fluid is orte which does not obey the linear constitutive equation p~~ = --P~*k + 2/*od,~.

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