The influence of variable viscosity and viscous dissipation on the non-Newtonian flow: An analytical solution

T. Hayat; R. Ellahi; S. Asghar

doi:10.1016/j.cnsns.2005.04.008

The influence of variable viscosity and viscous dissipation on the non-Newtonian flow: An analytical solution

T. Hayat
, R. Ellahi
, S. Asghar

Quaid-I-Azam University
COMSATS University Islamabad

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

37 Scopus citations

Abstract

An analytical solution for the flow of a third grade fluid in a pipe is obtained using homotopy analysis method (HAM). The fluid considered is with variable space dependence viscosity. The temperature of the pipe is taken to be higher than the temperature of the fluid. Expressions for velocity and temperature profiles are constructed analytically and explained with the help of graphs.

Original language	English
Pages (from-to)	300-313
Number of pages	14
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	12
Issue number	3
DOIs	https://doi.org/10.1016/j.cnsns.2005.04.008
State	Published - Jun 2007
Externally published	Yes

Keywords

Analytical solutions
HAM
Variable viscosity

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10.1016/j.cnsns.2005.04.008

Cite this

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title = "The influence of variable viscosity and viscous dissipation on the non-Newtonian flow: An analytical solution",

abstract = "An analytical solution for the flow of a third grade fluid in a pipe is obtained using homotopy analysis method (HAM). The fluid considered is with variable space dependence viscosity. The temperature of the pipe is taken to be higher than the temperature of the fluid. Expressions for velocity and temperature profiles are constructed analytically and explained with the help of graphs.",

keywords = "Analytical solutions, HAM, Variable viscosity",

author = "T. Hayat and R. Ellahi and S. Asghar",

year = "2007",

month = jun,

doi = "10.1016/j.cnsns.2005.04.008",

language = "English",

volume = "12",

pages = "300--313",

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

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T1 - The influence of variable viscosity and viscous dissipation on the non-Newtonian flow

T2 - An analytical solution

AU - Hayat, T.

AU - Ellahi, R.

AU - Asghar, S.

PY - 2007/6

Y1 - 2007/6

N2 - An analytical solution for the flow of a third grade fluid in a pipe is obtained using homotopy analysis method (HAM). The fluid considered is with variable space dependence viscosity. The temperature of the pipe is taken to be higher than the temperature of the fluid. Expressions for velocity and temperature profiles are constructed analytically and explained with the help of graphs.

AB - An analytical solution for the flow of a third grade fluid in a pipe is obtained using homotopy analysis method (HAM). The fluid considered is with variable space dependence viscosity. The temperature of the pipe is taken to be higher than the temperature of the fluid. Expressions for velocity and temperature profiles are constructed analytically and explained with the help of graphs.

KW - Analytical solutions

KW - HAM

KW - Variable viscosity

UR - https://www.scopus.com/pages/publications/33750513876

U2 - 10.1016/j.cnsns.2005.04.008

DO - 10.1016/j.cnsns.2005.04.008

M3 - Article

AN - SCOPUS:33750513876

SN - 1007-5704

VL - 12

SP - 300

EP - 313

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 3

ER -

The influence of variable viscosity and viscous dissipation on the non-Newtonian flow: An analytical solution

Abstract

Keywords

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