Flow of an Erying-Powell fluid over a stretching sheet in presence of chemical reaction

Abstract

In this paper we study the flow of an incompressible Erying-Powell fluid bounded by a linear stretching surface. The mass transfer analysis in the presence of destructive/generative chemical reactions is also analyzed. A similarity transformation is used to transform the governing partial differential equations into ordinary differential equations. Computations for dimensionless velocity and concentration fields are performed by an efficient approach namely the homotopy analysis method and numerical solution is obtained by shooting technique along with Runge-Kutta-Fehlberg integration scheme. Graphical results are prepared to illustrate the details of flow and mass transfer characteristics and their dependence upon the physical parameters. The values for gradient of mass transfer are also evaluated and analyzed. A comparison of the present solutions with published results in the literature is performed and the results are found to be in excellent agreement.

Finite Element Method Solution of Boundary Layer Flow of Powell-Eyring Nanofluid over a Nonlinear Stretching Surface

“…Satyaban et al [1] studied mixed convective flow of a Powell-Eyring fluid over a nonlinear stretching surface with thermal diffusion and diffusion thermo. Khan et al [2] analyzed flow of an Eyring-Powell fluid over a stretching sheet. Gaffar et al [3] investigated non-Newtonian thermal convection of Eyring-Powell fluid from an isothermal sphere with Biot number effects.…”

A numerical approach based on B-spline basis functions to solve boundary layer flow model of a non-Newtonian fluid

“…There are different models for non-Newtonian fluids that vary in their complexity. One of the most important models among all the available models is the Powell-Eyring fluid, because the Newtonian behavior, for low and high shear rates, correctly extends it [1], and also a more special reason is that it can be deduced from a kinetic theory of gases rather than the empirical relation as in the power law model [4]. Powell-Eyring is a complete mathematical model proposed by Powell and Eyring in 1994 [5].…”

“…It is also possible to apply a scaling function on the B-spline or any other basis function to approximate the solution on the proper bounded interval [21,22]. 4. Another strategy is using rational functions which are defined on infinite intervals like Rational Chebyshev of different kinds.…”

Application of QLM-Rational Legendre collocation method towards Eyring-Powell fluid model

“…There are two types of fluid whose flows are investigated: Newtonian and non-Newtonian. The Newtonian law is the only unique relationship existing in the paper [6]. Significant contributions to the study of non-Newtonian fluid models with a diversity of rheological properties have been made by Harris [7] and Bird et al [8].…”

“…The non-Newtonian fluid models differ in their intricacy and capability to catch different physical phenomena. Different models are used to represent different characteristics of the non-Newtonian fluids because no single model can capture all the features of the non-Newtonian fluids complexities [6,9]. Non-Newtonian fluids gained much attention due to their various applications in physiological and industrial processes [10] such as coal water, jellies, toothpaste, ketchup, and food products [6].…”