Effects of homogeneous-heterogeneous reactions in flow of Powell-Eyring fluid
来源期刊：中南大学学报(英文版)2015年第8期
论文作者：T. Hayat M. Imtiaz A. ALSAEDI
文章页码：3211 - 3216
Key words：Powell-Eyring fluid; boundary layer flow; stretching sheet; homogeneous-heterogeneous reactions
Abstract: The steady two-dimensional flow of Powell-Eyring fluid is investigated. The flow is caused by a stretching surface with homogeneous-heterogeneous reactions. The governing nonlinear differential equations are reduced to the ordinary differential equations by similarity transformations. The analytic solutions are presented in series forms by homotopy analysis method (HAM). Convergence of the obtained series solutions is explicitly discussed. The physical significance of different parameters on the velocity and concentration profiles is discussed through graphical illustrations. It is noticed that the boundary layer thickness increases by increasing the Powell-Eyring fluid material parameter (ε) whereas it decreases by increasing the fluid material parameter (δ). Further, the concentration profile increases when Powell-Eyring fluid material parameters increase. The concentration is also an increasing function of Schmidt number and decreasing function of strength of homogeneous reaction. Also mass transfer rate increases for larger rate of heterogeneous reaction.
T. Hayat1, 2, M. Imtiaz1, A. Alsaedi2
(1. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan;
2. NAAM Research Group, Department of Mathematics, Faculty of Science,
King Abdulaziz University, Jeddah 21589, Saudi Arabia)
Abstract:The steady two-dimensional flow of Powell-Eyring fluid is investigated. The flow is caused by a stretching surface with homogeneous-heterogeneous reactions. The governing nonlinear differential equations are reduced to the ordinary differential equations by similarity transformations. The analytic solutions are presented in series forms by homotopy analysis method (HAM). Convergence of the obtained series solutions is explicitly discussed. The physical significance of different parameters on the velocity and concentration profiles is discussed through graphical illustrations. It is noticed that the boundary layer thickness increases by increasing the Powell-Eyring fluid material parameter (ε) whereas it decreases by increasing the fluid material parameter (δ). Further, the concentration profile increases when Powell-Eyring fluid material parameters increase. The concentration is also an increasing function of Schmidt number and decreasing function of strength of homogeneous reaction. Also mass transfer rate increases for larger rate of heterogeneous reaction.
Key words:Powell-Eyring fluid; boundary layer flow; stretching sheet; homogeneous-heterogeneous reactions
