Z. Naturforsch. 68a, 791 – 798
Exponentially Stretching Sheet in a Powell–Eyring Fluid: Numerical and Series Solutions
1 Research Centre for Modeling and Simulation (RCMS), National University of Sciences and Technology (NUST), Islamabad 44000, Pakistan
2 Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan
3 Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, King Abdulaziz University, Jeddah 21589, Saudi Arabia
4 National University of Sciences and Technology (NUST), Islamabad 44000, Pakistan
Received May 15, 2013 / revised August 14, 2013 / published online October 16, 2013
This work theoretically examines the flow and heat transfer characteristics due to an exponentially stretching sheet in a Powell–Eyring fluid. Governing partial differential equations are non-dimensionalized and transformed into non-similar forms. Explicit analytic expressions of velocity and temperature functions are developed by homotopy analysis method (HAM). The Numerical solutions are obtained by using shooting method with fourth-order Runge–Kutta integration technique. The fields are influence appreciably with the variation of embedding parameters. We noticed that the velocity ratio has a dual behaviour on the momentum boundary layer. On the other hand the thermal boundary layer thins when the velocity ratio is increased. The results indicate a significant increase in the velocity and a decrease in thermal boundary layer thickness with an intensification in the viscoelastic effects.
Key words: Exponentially Stretching Sheet; Powell–Eyring Fluid; Shooting Method; Stagnation-Point Flow; Heat Transfer; Series solution.