A numerical method based on rational Gegenbauer functions for solving boundary layer flow of a Powell–Eyring non-Newtonian fluid

Reproducing kernel Hilbert space method based on reproducing kernel functions for investigating boundary layer flow of a Powell–Eyring non-Newtonian fluid

“…We use integration by parts and obtain: (4) y (0) − Z (∞)D (5) y (∞) + Z (0)D (5) y (0) + Z (∞)D (6) y (∞) − Z (0)D (6) y (0) − Z(∞)D (7) y (∞)…”

“…Many authors have been captivated by the flow analysis of non-Newtonian fluids [3]. A valuable and complex non-Newtonian fluid is the Powell-Eyring fluid, which has some advances over other non-Newtonian fluid models such as Powell and Eyring in some aspects [4]. Zaman et al [5] have applied the homotopy analysis method to incompressible Powell-Eyring flow in a pipe with porous walls.…”

“…We consider a stretching sheet with a linear velocity V τ t. V τ = α is the linear stretching velocity and t is the distance from the slit. The shear tensor in a Powell-Eyring model is given as [4]…”

“…The boundary layer problems for an incompressible fluid based on the Powell-Eyring model is given as [4] ∂v ∂t…”

“…The kinematic viscosity is given as μ = η/ρ. For Equations (3) and (4), the boundary conditions are given as [4]:…”