Numerical study for Rows of pseudoplastic materials

Abstract

Recently, the study of non-Newtonian fluids over a stretching sheet/cylinder have attracted number of researchers due to its numerous applications in engineering and manufacturing process. These type of fluids do not have linear relationship between stress and deformation rate. In non-Newtonian fluids, the most commonly used fluids are pseudoplastic fluids. The pseudoplastic fluids are important because they have certain advantages due to wide range of applications in industry such as solutions and melts of high molecular weight polymers, emulsion coated sheets like photographic films, extrusion of polymer sheets, etc. Pseudoplastic fluids are non-Newtonian fluids which delineates the shear thinning properties. There are so many models available in the literature which describes shear thinning effects like the Cross model, Ellis model, power law model and Carreaus model, but less attention has been paid to the Williamson and tangent hyperbolic fluid models over a stretching surfaces. Most of the physiological fluids (for example, blood) do not describe Newtonian behavior. Hence, several non-Newtonian fluid models are being presented by various researchers to investigate the flow behavior in the physiological system of a living body among them, Williamson and tangent hyperbolic models are proposed to explain the features of physiological fluids. The Williamson and tangent hyperbolic fluid models are very much similar to the blood as it completely describes the behavior of blood flow due to which it captivated the researcher's attention. The valuable works in this dimension have constantly been added in recent years. Nadeem et al. [1] initiated the study of boundary layer flow of Williamson fluid model over a stretching sheet .