In this note we present a proof showing that the contribution from the extra stress tensor to the normal component of the stress on the surface of a moving rigid body in an incompressible Oldroyd-B fluid is zero.
Issue Section:
Technical Briefs
1.
Huang
, P. Y.
, Hu
, H. H.
, and Joseph
, D. D.
, 1998
, “Direct Simulation of the Sedimentation of Elliptic Particles in Oldroyd-B Fluids
,” J. Fluid Mech.
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, pp. 297
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.2.
Gurtin, M. E., 1981, An Introduction to Continuum Mechanics, Academic Press, San Diego.
3.
Bird, R. B., Armstrong, R. C., and Hassager, O., 1987, Dynamics of Polymeric Liquids, Vol. 1, Wiley-Interscience, New York.
4.
Caswell
, B.
, 1967
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,” Arch. Ration. Mech. Anal.
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, pp. 385
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.5.
Hu
, H. H.
, Patankar
, N. A.
, and Zhu
, M. Y.
, 2001
, “Direct Numerical Simulations of Fluid-Solid Systems using the Arbitrary-Lagrangian-Eulerian Technique
,” J. Comput. Phys.
, 169
, pp. 427
–462
.Copyright © 2002
by ASME
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