https://doi.org/10.1140/epjp/i2016-16112-9
Regular Article
Three-dimensional Oldroyd-B fluid flow with Cattaneo-Christov heat flux model
1
Department of Mathematics, Comsats Institute of Information Technology, 57000, Sahiwal, Pakistan
2
Department of Mathematics, Quaid-I-Azam University 45320, 44000, Islamabad, Pakistan
3
NAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, 21589, Jeddah, Saudi Arabia
4
Department of Mathematics, Comsats Institute of Information Technology, 44000, Islamabad, Pakistan
5
Department of Mathematics & Statistics, FBAS, International Islamic University, 44000,, Islamabad, Pakistan
* e-mail: ali_qau70@yahoo.com
Received:
8
September
2015
Accepted:
27
February
2016
Published online:
21
April
2016
The impact of Cattaneo-Christov heat flux in three-dimensional flow of an Oldroyd-B fluid over a bidirectional stretching surface is explored in this article. The boundary layer flow of an incompressible fluid is considered. Heat transfer analysis is discussed via the Cattaneo-Christov model of heat flux. Similarity transformations lead to the nonlinear ordinary differential systems. Convergent solutions of dimensionless velocities and temperature have been computed. Convergence analysis is presented graphically and numerically. The influence of physical parameters on the velocities and temperature are plotted and discussed. We observed that the values of temperature gradient are higher for the Cattaneo-Christov heat flux model when we compare it with the values obtained by the simple Fourier’s law of heat conduction.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016