Abstract
This communication presents a comparative analysis of two-dimensional cross flow of non-Newtonian fluid with heat and mass transfer is presented in this article. Eyring-Powell fluid is chosen as the main carrier of heat and nano species through a uniform horizontal channel. Effects of suction are also taken into account by placing porous walls. Main source of the flow is the motion of upper plate that moves with a constant velocity in axial direction. Two different nano flows have been formulated by neglecting and, as well as, applying constant pressure gradient, respectively. In addition to this, the analytical solution is validated with the numerical solution. Perturbation technique is employed to obtain a sustainable solution for the highly nonlinear and coupled differential equations. Further, Range-Kutta method with shooting technique is employed to get an approximate solution. It if inferred that both numerical and series solutions display a complete agreement.
Highlights
It is a well-established fact that Navier–Stokes equations do not characterize the flow pattern of non-Newtonian fluids, most of the times
Motivated the above important studies, in this paper we have presented two types of mathematical models of cross flow of Eyring Powell fluid with the heat and mass transfer analysis
We have presented the values of velocity and temperature gradients against the variation of pressure gradient and viscous dissipation parameters for limiting case K3 = m = 0 in Table 1 and noted that the obtained solutions are in full coherence with the solutions obtained by Gupta and Massoudi [11]
Summary
It is a well-established fact that Navier–Stokes equations do not characterize the flow pattern of non-Newtonian fluids, most of the times. Such fluids involve a highly nonlinear relation between stress and strain as compared to viscous fluid. To capture the behaviour of non-Newtonian fluids, various theoretical models are proposed such as Micropolar fluid, Power law fluids, Giesekus fluid, Williamson fluid, Jeffery fluid and Maxwell fluid etc. In addition to, these Eyring-Powell fluid model is one of such fluid models that exhibits the non-Newtonian behaviour. A brief discussion on this fluid model relevant to the different geometries is highlighted in the paragraph
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