Similarity Solutions for Boundary Layer Equations of a Powel-Eyring Fluid

Abstract

Abstract-Boundary layer equations are derived for the first time for the Powel-Eyring fluid model, a non-Newtonian model proposed for pseudoplastic behavior. Using a scaling symmetry of the equations, partial differential system is transferred to an ordinary differential system. Resulting equations are numerically solved using a finite difference algorithm. Effects of non-Newtonian parameters on the solutions are discussed.

Similarity treatment for MHD free convective boundary layer flow of a class of non-Newtonian fluids

“…• At this point it is worth noting that a similar kind of effects have been observed in the work of Na and Hansen [12] and T. Hayat et al [30] for Power-law and Powel-Eyring Non-Newtonian fluids respectively.…”

“…It is found that change in all the dimensionless parameters and rheological parameters causes the boundary layers thickness. The analysis is made for generalized Non-Newtonian fluid and work of Na and Hansen [12] and T. Hayat et al [30] are particular cases of he present work.…”

Applications of Group Theoretical Methods to Non‐Newtonian Fluid Flow Models: Survey of Results

“…[33]. A study is available in the literature dealing with the flow of Eyring-Powell fluid and solved by employing the Lie symmetry approach which is very recent by Hayat et al [33].…”

“…The resulting equations were numerically solved using a finite difference algorithm. The dimensionless form of the boundary layer equations for Eyring-Powell fluid is [33] + V = 0,…”

“…By the use of the Lie group method, the similarity transformation used for the reduction of the above system of PDEs is [33] …”