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Stokes’ first problem for some non-Newtonian fluids: Results and mistakes

✍ Scribed by Ivan C. Christov

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
290 KB
Volume
37
Category
Article
ISSN
0093-6413

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✦ Synopsis

The well-known problem of unidirectional plane flow of a fluid in a half-space due to the impulsive motion of the plate it rests upon is discussed in the context of the second-grade and the Oldroyd-B non-Newtonian fluids. The governing equations are derived from the conservation laws of mass and momentum and three correct known representations of their exact solutions given. Common mistakes made in the literature are identified. Simple numerical schemes that corroborate the analytical solutions are constructed.

📜 SIMILAR VOLUMES

The Rayleigh and Stokes problems with an
The Rayleigh and Stokes problems with an incompressible non-Newtonian fluid
✍ Schwarz, William H. 📂 Article 📅 1964 🏛 Springer 🌐 English ⚖ 837 KB

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 un

Stokes' first problem for a Newtonian fl
Stokes' first problem for a Newtonian fluid in a non-Darcian porous half-space using a Laguerre–Galerkin method
✍ F. Talay Akyildiz 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 155 KB

## Abstract A Laguerre–Galerkin method is proposed and analysed for the Stokes' first problem of a Newtonian fluid in a non‐Darcian porous half‐space on a semi‐infinite interval. It is well known that Stokes' first problem has a jump discontinuity on boundary which is the main obstacle in numerical