Transient flows of a second grade fluid

T. Hayat; Masood Khan; A. M. Siddiqui; S. Asghar

doi:10.1016/j.ijnonlinmec.2002.12.001

Transient flows of a second grade fluid

T. Hayat, Masood Khan, A. M. Siddiqui, S. Asghar

Penn State York

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

91 Scopus citations

Abstract

Exact analytical solutions for a class of unsteady unidirectional flows of an incompressible second-order fluid are constructed. The flows are generated impulsively from rest by motion of a plate or two plates or by sudden application of a pressure gradient. Expressions for velocity, flux and skin friction are obtained for both large and small times. It is found that large and small times solutions are dependent on the coefficient of viscoelasticity. The solutions corresponding to Newtonian fluids can be easily obtained from those for fluids of second order by letting the viscoelastic parameter to be zero. Published by Elsevier Ltd.

Original language	English (US)
Pages (from-to)	1621-1633
Number of pages	13
Journal	International Journal of Non-Linear Mechanics
Volume	39
Issue number	10
DOIs	https://doi.org/10.1016/j.ijnonlinmec.2002.12.001
State	Published - Dec 1 2004

All Science Journal Classification (ASJC) codes

Mechanics of Materials
Mechanical Engineering
Applied Mathematics

Access to Document

10.1016/j.ijnonlinmec.2002.12.001

Cite this

@article{9825207c84194e03965beff35f096b1b,

title = "Transient flows of a second grade fluid",

abstract = "Exact analytical solutions for a class of unsteady unidirectional flows of an incompressible second-order fluid are constructed. The flows are generated impulsively from rest by motion of a plate or two plates or by sudden application of a pressure gradient. Expressions for velocity, flux and skin friction are obtained for both large and small times. It is found that large and small times solutions are dependent on the coefficient of viscoelasticity. The solutions corresponding to Newtonian fluids can be easily obtained from those for fluids of second order by letting the viscoelastic parameter to be zero. Published by Elsevier Ltd.",

author = "T. Hayat and Masood Khan and Siddiqui, {A. M.} and S. Asghar",

year = "2004",

month = dec,

day = "1",

doi = "10.1016/j.ijnonlinmec.2002.12.001",

language = "English (US)",

volume = "39",

pages = "1621--1633",

journal = "International Journal of Non-Linear Mechanics",

issn = "0020-7462",

publisher = "Elsevier Limited",

number = "10",

}

TY - JOUR

T1 - Transient flows of a second grade fluid

AU - Hayat, T.

AU - Khan, Masood

AU - Siddiqui, A. M.

AU - Asghar, S.

PY - 2004/12/1

Y1 - 2004/12/1

N2 - Exact analytical solutions for a class of unsteady unidirectional flows of an incompressible second-order fluid are constructed. The flows are generated impulsively from rest by motion of a plate or two plates or by sudden application of a pressure gradient. Expressions for velocity, flux and skin friction are obtained for both large and small times. It is found that large and small times solutions are dependent on the coefficient of viscoelasticity. The solutions corresponding to Newtonian fluids can be easily obtained from those for fluids of second order by letting the viscoelastic parameter to be zero. Published by Elsevier Ltd.

AB - Exact analytical solutions for a class of unsteady unidirectional flows of an incompressible second-order fluid are constructed. The flows are generated impulsively from rest by motion of a plate or two plates or by sudden application of a pressure gradient. Expressions for velocity, flux and skin friction are obtained for both large and small times. It is found that large and small times solutions are dependent on the coefficient of viscoelasticity. The solutions corresponding to Newtonian fluids can be easily obtained from those for fluids of second order by letting the viscoelastic parameter to be zero. Published by Elsevier Ltd.

UR - http://www.scopus.com/inward/record.url?scp=3242678896&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3242678896&partnerID=8YFLogxK

U2 - 10.1016/j.ijnonlinmec.2002.12.001

DO - 10.1016/j.ijnonlinmec.2002.12.001

M3 - Article

AN - SCOPUS:3242678896

SN - 0020-7462

VL - 39

SP - 1621

EP - 1633

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

IS - 10

ER -

Transient flows of a second grade fluid

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this