On the homotopy solution for Poiseuille flow of a fourth grade fluid

T. Hayat; Rahila Naz; M. Sajid

doi:10.1016/j.cnsns.2009.04.024

On the homotopy solution for Poiseuille flow of a fourth grade fluid

T. Hayat
, Rahila Naz
, M. Sajid

Quaid-I-Azam University
Pakistan Atomic Energy Commission

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

33 Scopus citations

Abstract

This paper develops a mathematical model with an aim to compute the analytic solution for the flow of a fourth grade fluid between two fixed porous walls. The flow is induced under the application of a constant pressure gradient. The arising nonlinear problem is treated analytically yielding a series solution by homotopy analysis method (HAM). Results of velocity and shear stresses at the walls are obtained. The impacts of several flow parameters are examined on the velocity and shear stresses.

Original language	English
Pages (from-to)	581-589
Number of pages	9
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	15
Issue number	3
DOIs	https://doi.org/10.1016/j.cnsns.2009.04.024
State	Published - Mar 2010
Externally published	Yes

Keywords

Analytic solution
Fourth grade fluid
Homotopy analysis method (HAM)

Access to Document

10.1016/j.cnsns.2009.04.024

Cite this

@article{805c852dd52847c2a4d9b55443dc5d9a,

title = "On the homotopy solution for Poiseuille flow of a fourth grade fluid",

abstract = "This paper develops a mathematical model with an aim to compute the analytic solution for the flow of a fourth grade fluid between two fixed porous walls. The flow is induced under the application of a constant pressure gradient. The arising nonlinear problem is treated analytically yielding a series solution by homotopy analysis method (HAM). Results of velocity and shear stresses at the walls are obtained. The impacts of several flow parameters are examined on the velocity and shear stresses.",

keywords = "Analytic solution, Fourth grade fluid, Homotopy analysis method (HAM)",

author = "T. Hayat and Rahila Naz and M. Sajid",

year = "2010",

month = mar,

doi = "10.1016/j.cnsns.2009.04.024",

language = "English",

volume = "15",

pages = "581--589",

journal = "Communications in Nonlinear Science and Numerical Simulation",

issn = "1007-5704",

publisher = "Elsevier B.V.",

number = "3",

}

TY - JOUR

T1 - On the homotopy solution for Poiseuille flow of a fourth grade fluid

AU - Hayat, T.

AU - Naz, Rahila

AU - Sajid, M.

PY - 2010/3

Y1 - 2010/3

N2 - This paper develops a mathematical model with an aim to compute the analytic solution for the flow of a fourth grade fluid between two fixed porous walls. The flow is induced under the application of a constant pressure gradient. The arising nonlinear problem is treated analytically yielding a series solution by homotopy analysis method (HAM). Results of velocity and shear stresses at the walls are obtained. The impacts of several flow parameters are examined on the velocity and shear stresses.

AB - This paper develops a mathematical model with an aim to compute the analytic solution for the flow of a fourth grade fluid between two fixed porous walls. The flow is induced under the application of a constant pressure gradient. The arising nonlinear problem is treated analytically yielding a series solution by homotopy analysis method (HAM). Results of velocity and shear stresses at the walls are obtained. The impacts of several flow parameters are examined on the velocity and shear stresses.

KW - Analytic solution

KW - Fourth grade fluid

KW - Homotopy analysis method (HAM)

UR - https://www.scopus.com/pages/publications/70349796197

U2 - 10.1016/j.cnsns.2009.04.024

DO - 10.1016/j.cnsns.2009.04.024

M3 - Article

AN - SCOPUS:70349796197

SN - 1007-5704

VL - 15

SP - 581

EP - 589

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 3

ER -

On the homotopy solution for Poiseuille flow of a fourth grade fluid

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this