Some analytical solutions for second grade fluid flows for cylindrical geometries

T. Hayat; M. Khan; M. Ayub

doi:10.1016/j.mcm.2005.04.009

Some analytical solutions for second grade fluid flows for cylindrical geometries

T. Hayat
, M. Khan
, M. Ayub

Quaid-I-Azam University

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

74 Scopus citations

Abstract

This paper deals with some unsteady flow problems of a second grade fluid. The flows are generated by the sudden application of a constant pressure gradient or by the impulsive motion of a boundary. The velocities of the flows are described by the partial differential equations. Exact analytic solutions of these differential equations are obtained. The well known solutions for a Navier-Stokes fluid in the hydrodynamic case appear as the limiting cases of our solutions.

Original language	English
Pages (from-to)	16-29
Number of pages	14
Journal	Mathematical and Computer Modelling
Volume	43
Issue number	1-2
DOIs	https://doi.org/10.1016/j.mcm.2005.04.009
State	Published - Jan 2006
Externally published	Yes

Keywords

Cylindrical coordinates
Exact solutions
Hydrodynamic fluid
Second grade fluid
Transient flows

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10.1016/j.mcm.2005.04.009

Cite this

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title = "Some analytical solutions for second grade fluid flows for cylindrical geometries",

abstract = "This paper deals with some unsteady flow problems of a second grade fluid. The flows are generated by the sudden application of a constant pressure gradient or by the impulsive motion of a boundary. The velocities of the flows are described by the partial differential equations. Exact analytic solutions of these differential equations are obtained. The well known solutions for a Navier-Stokes fluid in the hydrodynamic case appear as the limiting cases of our solutions.",

keywords = "Cylindrical coordinates, Exact solutions, Hydrodynamic fluid, Second grade fluid, Transient flows",

author = "T. Hayat and M. Khan and M. Ayub",

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AB - This paper deals with some unsteady flow problems of a second grade fluid. The flows are generated by the sudden application of a constant pressure gradient or by the impulsive motion of a boundary. The velocities of the flows are described by the partial differential equations. Exact analytic solutions of these differential equations are obtained. The well known solutions for a Navier-Stokes fluid in the hydrodynamic case appear as the limiting cases of our solutions.

KW - Cylindrical coordinates

KW - Exact solutions

KW - Hydrodynamic fluid

KW - Second grade fluid

KW - Transient flows

UR - https://www.scopus.com/pages/publications/33644523745

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AN - SCOPUS:33644523745

SN - 0895-7177

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SP - 16

EP - 29

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 1-2

ER -

Some analytical solutions for second grade fluid flows for cylindrical geometries

Abstract

Keywords

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