Radiation effects on the flow of Powell-Eyring fluid past an unsteady inclined stretching sheet with non-uniform heat source/sink

Tasawar Hayat; Sadia Asad; Meraj Mustafa; Ahmed Alsaedi

doi:10.1371/journal.pone.0103214

Radiation effects on the flow of Powell-Eyring fluid past an unsteady inclined stretching sheet with non-uniform heat source/sink

PLoS One. 2014 Jul 29;9(7):e103214. doi: 10.1371/journal.pone.0103214. eCollection 2014.

Authors

Tasawar Hayat¹, Sadia Asad², Meraj Mustafa³, Ahmed Alsaedi⁴

Affiliations

¹ Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan; Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.
² Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan.
³ School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Islamabad, Pakistan.
⁴ Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.

Abstract

This study investigates the unsteady flow of Powell-Eyring fluid past an inclined stretching sheet. Unsteadiness in the flow is due to the time-dependence of the stretching velocity and wall temperature. Mathematical analysis is performed in the presence of thermal radiation and non-uniform heat source/sink. The relevant boundary layer equations are reduced into self-similar forms by suitable transformations. The analytic solutions are constructed in a series form by homotopy analysis method (HAM). The convergence interval of the auxiliary parameter is obtained. Graphical results displaying the influence of interesting parameters are given. Numerical values of skin friction coefficient and local Nusselt number are computed and analyzed.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Algorithms
Models, Theoretical*

Grants and funding

This paper was funded by the Deanship of Scientific Research (DSR), King Abdul-Aziz University, Jeddah under grant no. (10 −130/1434HiCi). The authors, therefore, acknowledge with thanks DSR technical and financial support. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.