Steady-state solutions for some simple flows of generalized Burgers fluids

C. Fetecau; T. Hayat; Corina Fetecau

doi:10.1016/j.ijnonlinmec.2006.06.004

Steady-state solutions for some simple flows of generalized Burgers fluids

C. Fetecau
, T. Hayat
, Corina Fetecau

Gh. Asachi Technical University
Quaid-I-Azam University

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

45 Scopus citations

Abstract

The steady-state solutions for three types of unsteady oscillating flows of generalized Burgers fluids are determined by means of the Fourier sine transforms. These solutions are also presented in equivalent forms in terms of elementary functions exp, sine, cosine, hyperbolic sine and hyperbolic cosine. The similar solutions for Burgers, Oldroyd-B, Maxwell, Second grade and Navier-Stokes fluids can be also obtained as limiting cases of our solutions.

Original language	English
Pages (from-to)	880-887
Number of pages	8
Journal	International Journal of Non-Linear Mechanics
Volume	41
Issue number	8
DOIs	https://doi.org/10.1016/j.ijnonlinmec.2006.06.004
State	Published - Oct 2006
Externally published	Yes

Keywords

Generalized Burgers fluids
Steady-state solutions
Unsteady oscillating flows

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10.1016/j.ijnonlinmec.2006.06.004

Cite this

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abstract = "The steady-state solutions for three types of unsteady oscillating flows of generalized Burgers fluids are determined by means of the Fourier sine transforms. These solutions are also presented in equivalent forms in terms of elementary functions exp, sine, cosine, hyperbolic sine and hyperbolic cosine. The similar solutions for Burgers, Oldroyd-B, Maxwell, Second grade and Navier-Stokes fluids can be also obtained as limiting cases of our solutions.",

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AU - Hayat, T.

AU - Fetecau, Corina

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Y1 - 2006/10

N2 - The steady-state solutions for three types of unsteady oscillating flows of generalized Burgers fluids are determined by means of the Fourier sine transforms. These solutions are also presented in equivalent forms in terms of elementary functions exp, sine, cosine, hyperbolic sine and hyperbolic cosine. The similar solutions for Burgers, Oldroyd-B, Maxwell, Second grade and Navier-Stokes fluids can be also obtained as limiting cases of our solutions.

AB - The steady-state solutions for three types of unsteady oscillating flows of generalized Burgers fluids are determined by means of the Fourier sine transforms. These solutions are also presented in equivalent forms in terms of elementary functions exp, sine, cosine, hyperbolic sine and hyperbolic cosine. The similar solutions for Burgers, Oldroyd-B, Maxwell, Second grade and Navier-Stokes fluids can be also obtained as limiting cases of our solutions.

KW - Generalized Burgers fluids

KW - Steady-state solutions

KW - Unsteady oscillating flows

UR - https://www.scopus.com/pages/publications/33845874917

U2 - 10.1016/j.ijnonlinmec.2006.06.004

DO - 10.1016/j.ijnonlinmec.2006.06.004

M3 - Article

AN - SCOPUS:33845874917

SN - 0020-7462

VL - 41

SP - 880

EP - 887

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

IS - 8

ER -

Steady-state solutions for some simple flows of generalized Burgers fluids

Abstract

Keywords

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