On the first problem of Stokes for Burgers' fluids, I: Case γ<λ2/4

C. Fetecau; D. Vieru; T. Hayat; Corina Fetecau

doi:10.1016/j.nonrwa.2008.04.002

On the first problem of Stokes for Burgers' fluids, I: Case γ<λ²/4

C. Fetecau
, D. Vieru
, T. Hayat
, Corina Fetecau

Gh. Asachi Technical University
Quaid-I-Azam University

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

The velocity field and the associated tangential stress corresponding to the flow of a Burgers' fluid over a suddenly moved flat plate are determined when the relaxation times satisfy the condition γ < λ² / 4. Using the Laplace transform, only one initial condition has been necessary for velocity. The well-known solutions for a Newtonian fluid, as well as those corresponding to an Oldroyd-B fluid performing the same motion, are obtained as limiting cases of our solutions.

Original language	English
Pages (from-to)	2183-2194
Number of pages	12
Journal	Nonlinear Analysis: Real World Applications
Volume	10
Issue number	4
DOIs	https://doi.org/10.1016/j.nonrwa.2008.04.002
State	Published - Aug 2009
Externally published	Yes

Keywords

Burgers' fluid
Shear stress
Stokes' first problem
Velocity field

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10.1016/j.nonrwa.2008.04.002

Cite this

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abstract = "The velocity field and the associated tangential stress corresponding to the flow of a Burgers' fluid over a suddenly moved flat plate are determined when the relaxation times satisfy the condition γ < λ2 / 4. Using the Laplace transform, only one initial condition has been necessary for velocity. The well-known solutions for a Newtonian fluid, as well as those corresponding to an Oldroyd-B fluid performing the same motion, are obtained as limiting cases of our solutions.",

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AU - Hayat, T.

AU - Fetecau, Corina

PY - 2009/8

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N2 - The velocity field and the associated tangential stress corresponding to the flow of a Burgers' fluid over a suddenly moved flat plate are determined when the relaxation times satisfy the condition γ < λ2 / 4. Using the Laplace transform, only one initial condition has been necessary for velocity. The well-known solutions for a Newtonian fluid, as well as those corresponding to an Oldroyd-B fluid performing the same motion, are obtained as limiting cases of our solutions.

AB - The velocity field and the associated tangential stress corresponding to the flow of a Burgers' fluid over a suddenly moved flat plate are determined when the relaxation times satisfy the condition γ < λ2 / 4. Using the Laplace transform, only one initial condition has been necessary for velocity. The well-known solutions for a Newtonian fluid, as well as those corresponding to an Oldroyd-B fluid performing the same motion, are obtained as limiting cases of our solutions.

KW - Burgers' fluid

KW - Shear stress

KW - Stokes' first problem

KW - Velocity field

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DO - 10.1016/j.nonrwa.2008.04.002

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AN - SCOPUS:61749097675

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JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 4

ER -

On the first problem of Stokes for Burgers' fluids, I: Case γ<λ²/4

Abstract

Keywords

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