Flow of viscous fluid over a still nanofluid in presence of shear

Abstract

In our present work the flow of an upper shear driven ordinary viscous liquid above an another still nanofluid, influenced by natural phenomena and having a huge number of industrial applications has been considered. The lower fluid put into movement by interfacial shear. For the two-liquid problem, applying the similarity transformations the leading PDES (partial differential equations) are altered precisely into two sets of ODES (ordinary differential equations). The coupled boundary conditions at the interface are attached to solve this fluid model. The flourishing alteration of the two liquid problem is used to a specific case when the lower liquid follows the characteristics of nanofluid. The reduced system of ODEs are solved numerically by MATHEMATICA and made a comparison to establish the accuracy of this method. The ensuing three-parameter problem is also solved numerically for some dissimilar parameter mixtures through a straight integration approach. The different fluid properties are observed for various nanoparticles. It is observed that the density ratio and the viscosity ratio between the two fluids are the two controlling parameters. It is revealed that asymmetric amalgamation area expands far deeper into the lower nanoliquid then upwards into the moving shear flow.