Cattaneo-Christov heat flux model for third-grade fluid flow towards exponentially stretching sheet

S. A. Shehzad; F. M. Abbasi; T. Hayat; B. Ahmad

doi:10.1007/s10483-016-2088-6

Cattaneo-Christov heat flux model for third-grade fluid flow towards exponentially stretching sheet

S. A. Shehzad
, F. M. Abbasi
, T. Hayat
, B. Ahmad

COMSATS University Islamabad
Quaid-I-Azam University
Faculty of Sciences, King Abdulaziz University

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

43 Scopus citations

Abstract

The Cattaneo-Christov heat flux in the two-dimensional (2D) flow of a third-grade fluid towards an exponentially stretching sheet is investigated. The energy equation is considered through thermal relaxation. Similarity transformations are accounted to obtain the ordinary differential systems. The converted non-dimensional equations are solved for the series solutions. The convergence analysis of the computed solutions is reported. The graphical results of the velocity and temperature profiles are plotted and elaborated in detail. The results show that the thermal relaxation enhances the temperature gradient while reduces the temperature profile.

Original language	English
Pages (from-to)	761-768
Number of pages	8
Journal	Applied Mathematics and Mechanics (English Edition)
Volume	37
Issue number	6
DOIs	https://doi.org/10.1007/s10483-016-2088-6
State	Published - 1 Jun 2016
Externally published	Yes

Keywords

Cattaneo-Christov heat flux
exponentially stretching sheet
steady flow
third-grade fluid

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10.1007/s10483-016-2088-6

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title = "Cattaneo-Christov heat flux model for third-grade fluid flow towards exponentially stretching sheet",

abstract = "The Cattaneo-Christov heat flux in the two-dimensional (2D) flow of a third-grade fluid towards an exponentially stretching sheet is investigated. The energy equation is considered through thermal relaxation. Similarity transformations are accounted to obtain the ordinary differential systems. The converted non-dimensional equations are solved for the series solutions. The convergence analysis of the computed solutions is reported. The graphical results of the velocity and temperature profiles are plotted and elaborated in detail. The results show that the thermal relaxation enhances the temperature gradient while reduces the temperature profile.",

keywords = "Cattaneo-Christov heat flux, exponentially stretching sheet, steady flow, third-grade fluid",

author = "Shehzad, \{S. A.\} and Abbasi, \{F. M.\} and T. Hayat and B. Ahmad",

note = "Publisher Copyright: {\textcopyright} 2016, Shanghai University and Springer-Verlag Berlin Heidelberg.",

year = "2016",

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T1 - Cattaneo-Christov heat flux model for third-grade fluid flow towards exponentially stretching sheet

AU - Shehzad, S. A.

AU - Abbasi, F. M.

AU - Hayat, T.

AU - Ahmad, B.

PY - 2016/6/1

Y1 - 2016/6/1

N2 - The Cattaneo-Christov heat flux in the two-dimensional (2D) flow of a third-grade fluid towards an exponentially stretching sheet is investigated. The energy equation is considered through thermal relaxation. Similarity transformations are accounted to obtain the ordinary differential systems. The converted non-dimensional equations are solved for the series solutions. The convergence analysis of the computed solutions is reported. The graphical results of the velocity and temperature profiles are plotted and elaborated in detail. The results show that the thermal relaxation enhances the temperature gradient while reduces the temperature profile.

AB - The Cattaneo-Christov heat flux in the two-dimensional (2D) flow of a third-grade fluid towards an exponentially stretching sheet is investigated. The energy equation is considered through thermal relaxation. Similarity transformations are accounted to obtain the ordinary differential systems. The converted non-dimensional equations are solved for the series solutions. The convergence analysis of the computed solutions is reported. The graphical results of the velocity and temperature profiles are plotted and elaborated in detail. The results show that the thermal relaxation enhances the temperature gradient while reduces the temperature profile.

KW - Cattaneo-Christov heat flux

KW - exponentially stretching sheet

KW - steady flow

KW - third-grade fluid

UR - https://www.scopus.com/pages/publications/84966705140

U2 - 10.1007/s10483-016-2088-6

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JO - Applied Mathematics and Mechanics (English Edition)

JF - Applied Mathematics and Mechanics (English Edition)

IS - 6

ER -

Cattaneo-Christov heat flux model for third-grade fluid flow towards exponentially stretching sheet

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Keywords

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