A point source solution for unidirectional flow of a viscoelastic fluid

E. Momoniat

doi:10.1016/j.physleta.2008.03.020

A point source solution for unidirectional flow of a viscoelastic fluid

E. Momoniat

University of the Witwatersrand

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

10 Citations (Scopus)

Abstract

A Fourier point source solution modelling the effect of an impulse on a viscoelastic fluid of second-grade is investigated. By examining the second-moment of a Fourier point source solution we show that for D t ≪ 1, where D = ν / α for ν the kinematic viscosity, α a viscoelastic parameter and t the time; the fluid undergoes superdiffusion indicating the dominance of the fluids viscoelastic properties. For D t ≫ 1 the fluid undergoes classical diffusion indicating that the viscous properties of the fluid are dominating.

Original language	English
Pages (from-to)	4041-4044
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	372
Issue number	22
DOIs	https://doi.org/10.1016/j.physleta.2008.03.020
Publication status	Published - 26 May 2008
Externally published	Yes

Keywords

Fourier solution
Second-grade fluid
Superdiffusion
Viscoelastic fluid

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/j.physleta.2008.03.020

Cite this

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abstract = "A Fourier point source solution modelling the effect of an impulse on a viscoelastic fluid of second-grade is investigated. By examining the second-moment of a Fourier point source solution we show that for D t ≪ 1, where D = ν / α for ν the kinematic viscosity, α a viscoelastic parameter and t the time; the fluid undergoes superdiffusion indicating the dominance of the fluids viscoelastic properties. For D t ≫ 1 the fluid undergoes classical diffusion indicating that the viscous properties of the fluid are dominating.",

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AB - A Fourier point source solution modelling the effect of an impulse on a viscoelastic fluid of second-grade is investigated. By examining the second-moment of a Fourier point source solution we show that for D t ≪ 1, where D = ν / α for ν the kinematic viscosity, α a viscoelastic parameter and t the time; the fluid undergoes superdiffusion indicating the dominance of the fluids viscoelastic properties. For D t ≫ 1 the fluid undergoes classical diffusion indicating that the viscous properties of the fluid are dominating.

KW - Fourier solution

KW - Second-grade fluid

KW - Superdiffusion

KW - Viscoelastic fluid

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ER -

A point source solution for unidirectional flow of a viscoelastic fluid

Abstract

Keywords

ASJC Scopus subject areas

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