Energetic balance for the flow of a second-grade fluid due to a plate subject to a shear stress

Exact and approximative expressions for dissipation, the power due to the shear stress at the wall and the boundary layer thickness corresponding to the unsteady motion of a second-grade fluid, induced by an infinite plate subject to a shear stress, are established. For α 1 ⟶ 0 , similar results for...

Full description

Saved in:
Bibliographic Details
Published inComputers & mathematics with applications (1987) Vol. 56; no. 4; pp. 1128 - 1137
Main Authors Vieru, D., Siddique, I., Kamran, M., Fetecau, C.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.08.2008
Subjects
Approximation
Asymptotic properties
Computational fluid dynamics
Dissipation
Energetic balance
Fluid flow
Fluids
Kinetic energy
Mathematical models
Power
Second-grade fluid
Shear stress
Walls
Energetic balance
Kinetic energy
Second-grade fluid
Power
Dissipation
Online AccessGet full text

Cover

More Information
Summary:Exact and approximative expressions for dissipation, the power due to the shear stress at the wall and the boundary layer thickness corresponding to the unsteady motion of a second-grade fluid, induced by an infinite plate subject to a shear stress, are established. For α 1 ⟶ 0 , similar results for Newtonian fluids performing the same motion are obtained. The results that have been obtained here are different to those corresponding to the Rayleigh–Stokes problem. A series solution for the velocity field is also determined. Its form, as was to be expected, is identical to that resulting from the general solution using asymptotic approximations.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2008.02.013