Effect of side walls on the motion of a viscous fluid induced by an infinite plate that applies an oscillating shear stress to the fluid

• Authors: Constantin Fetecau , Dumitru Vieru , Corina Fetecau
• Languages of publication: EN

Abstracts

EN

The velocity field corresponding to the unsteady motion of a viscous fluid between two side walls perpendicular to a plate is determined by means of the Fourier transforms. The motion of the fluid is produced by the plate which after the time t = 0, applies an oscillating shear stress to the fluid. The solutions that have been obtained, presented as a sum of the steady-state and transient solutions satisfy the governing equation and all imposed initial and boundary conditions. In the absence of the side walls they are reduced to the similar solutions corresponding to the motion over an infinite plate. Finally, the influence of the side walls on the fluid motion, the required time to reach the steady-state, as well as the distance between the walls for which the velocity of the fluid in the middle of the channel is unaffected by their presence, are established by means of graphical illustrations.

Keywords

EN

unsteady motion; side walls; oscillating shear stress; exact solutions

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2011
• Volume: 9
• Issue: 3
• Pages: 816-824

Dates

published

1 - 6 - 2011

online

26 - 2 - 2011

Contributors

author

Constantin Fetecau

• Department of Theoretical Mechanics, Technical University of Iasi, 700050, Iasi, Romania

author

Dumitru Vieru

• Department of Theoretical Mechanics, Technical University of Iasi, 700050, Iasi, Romania

author

Corina Fetecau

• Department of Theoretical Mechanics, Technical University of Iasi, 700050, Iasi, Romania

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Identifiers

DOI

10.2478/s11534-010-0073-1