𝔖 Bobbio Scriptorium
✦   LIBER   ✦

STEADY VISCOELASTIC FLOW PAST A SPHERE USING SPECTRAL ELEMENTS

✍ Scribed by R. G. OWENS; T. N. PHILLIPS

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
835 KB
Volume
39
Category
Article
ISSN
0029-5981

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✦ Synopsis

The steady flow of a viscoelastic fluid past a sphere in a cylindrical tube is considered. A spectral element method is used to solve the system of coupled non-linear partial differential equations governing the flow. The spectral element method combines the flexibility of the traditional finite element method with the accuracy of spectral methods. A time-splitting algorithm is used to determine the solution to the steady problem. Results are presented for the Oldroyd B model. These show excellent agreement with the literature. The results converge with mesh refinement. A limiting Deborah number of approximately 0.6 is found, irrespective of the spatial resolution.

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