Abstract
ABSTRACTIn this work, the boundary layer flow of a Powell–Eyring non-Newtonian fluid over a stretching sheet has been investigated by a reproducing kernel method. Reproducing kernel functions are used to obtain the solutions. The approximate solutions are demonstrated, and the proposed technique is compared with some well-known methods. Convergence analysis of the technique is presented. The accuracy of the reproducing kernel method has been proved.
Highlights
The investigation of flow and transport operation in non-Newtonian fluids have taken very important interest with the significance of different such fluids in the industry, chemical engineering and biological processes [1]
The boundary layer flow of a Powell–Eyring non-Newtonian fluid over a stretching sheet has been investigated by a reproducing kernel method
Many authors have been captivated by the flow analysis of non-Newtonian fluids [3]
Summary
The investigation of flow and transport operation in non-Newtonian fluids have taken very important interest with the significance of different such fluids in the industry, chemical engineering and biological processes [1]. Parand et al [9] have investigated the laminar two-dimensional flow of an incompressible Powell–Eyring non-Newtonian fluid over a linearly stretching sheet with the indirect radial basis function (IRBF) method. The main goal of this work is to apply the reproducing kernel method (RKM) using reproducing kernel functions for investigating the nonlinear differential equation of the Powell–Eyring problem, in an unbounded domain. This method has been applied to many problems successfully [14,15,16,17,18]. The boundary layer problems for an incompressible fluid based on the Powell–Eyring model is given as [4]. We investigate Equation (8) with its boundary conditions (10) in the reproducing kernel Hilbert space in this paper
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