Numerical study of the non-linear radiation heat transfer problem for the flow of a second-grade fluid

A. Mushtaq; M. Mustafa; T. Hayat; A. Alsaedi

Numerical study of the non-linear radiation heat transfer problem for the flow of a second-grade fluid

A. Mushtaq
, M. Mustafa
, T. Hayat
, A. Alsaedi

National University of Sciences and Technology Pakistan
Quaid-I-Azam University
Faculty of Sciences, King Abdulaziz University

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

14 Scopus citations

Abstract

Radiation effects in the two-dimensional flow of an electrically conducting second-grade fluid are examined. Nonlinear radiative heat flux is considered in the formulation of the energy equation. Viscous dissipation effects are retained. The developed nonlinear differential systems are solved numerically using the shooting method with a fourth-fifth order Runge-Kutta integration procedure. The solutions are validated with the built-in numerical solver bvp4c of the software MATLAB. The dimensionless expressions of skin friction coefficient and rate of heat transfer at the sheet are evaluated and discussed.

Original language	English
Pages (from-to)	706-713
Number of pages	8
Journal	Bulgarian Chemical Communications
Volume	47
Issue number	2
State	Published - 2015
Externally published	Yes

Keywords

Heat transfer
Non-linear Rosseland approximation
Second-grade fluid
Shooting method
Thermal radiation

Cite this

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title = "Numerical study of the non-linear radiation heat transfer problem for the flow of a second-grade fluid",

abstract = "Radiation effects in the two-dimensional flow of an electrically conducting second-grade fluid are examined. Nonlinear radiative heat flux is considered in the formulation of the energy equation. Viscous dissipation effects are retained. The developed nonlinear differential systems are solved numerically using the shooting method with a fourth-fifth order Runge-Kutta integration procedure. The solutions are validated with the built-in numerical solver bvp4c of the software MATLAB. The dimensionless expressions of skin friction coefficient and rate of heat transfer at the sheet are evaluated and discussed.",

keywords = "Heat transfer, Non-linear Rosseland approximation, Second-grade fluid, Shooting method, Thermal radiation",

author = "A. Mushtaq and M. Mustafa and T. Hayat and A. Alsaedi",

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year = "2015",

language = "English",

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pages = "706--713",

journal = "Bulgarian Chemical Communications",

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T1 - Numerical study of the non-linear radiation heat transfer problem for the flow of a second-grade fluid

AU - Mushtaq, A.

AU - Mustafa, M.

AU - Hayat, T.

AU - Alsaedi, A.

PY - 2015

Y1 - 2015

N2 - Radiation effects in the two-dimensional flow of an electrically conducting second-grade fluid are examined. Nonlinear radiative heat flux is considered in the formulation of the energy equation. Viscous dissipation effects are retained. The developed nonlinear differential systems are solved numerically using the shooting method with a fourth-fifth order Runge-Kutta integration procedure. The solutions are validated with the built-in numerical solver bvp4c of the software MATLAB. The dimensionless expressions of skin friction coefficient and rate of heat transfer at the sheet are evaluated and discussed.

AB - Radiation effects in the two-dimensional flow of an electrically conducting second-grade fluid are examined. Nonlinear radiative heat flux is considered in the formulation of the energy equation. Viscous dissipation effects are retained. The developed nonlinear differential systems are solved numerically using the shooting method with a fourth-fifth order Runge-Kutta integration procedure. The solutions are validated with the built-in numerical solver bvp4c of the software MATLAB. The dimensionless expressions of skin friction coefficient and rate of heat transfer at the sheet are evaluated and discussed.

KW - Heat transfer

KW - Non-linear Rosseland approximation

KW - Second-grade fluid

KW - Shooting method

KW - Thermal radiation

UR - https://www.scopus.com/pages/publications/105013595562

M3 - Article

AN - SCOPUS:105013595562

SN - 0861-9808

VL - 47

SP - 706

EP - 713

JO - Bulgarian Chemical Communications

JF - Bulgarian Chemical Communications

IS - 2

ER -

Numerical study of the non-linear radiation heat transfer problem for the flow of a second-grade fluid

Abstract

Keywords

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