Dissipative Nanofluid Slip-Flow and Heat Transfer in a Permeable Stretching Vertical Channel with Internal Heat Generation

Abstract

A comparative investigation is carried out in this paper to study the influence of Alumina and Titanium oxide water based nanofuids abound and flow in a vertical channel whose one of its parallel walls is both permeable and extensible in the presence of thermal dissipation and internal heat source/sink. The governing basic partial differential equations are formulated and reduced to ordinary differential equations by means of existing transformation, thereafter solved using Homotopy Perturbation Method (HPM). Excellent validation of the HPM results has been assessed through comparison with the fourth-fifth-order Runge-Kutta-Fehlberg numerical
quadrature by means of tables. For some selected values of various basic flow parameters, tables are contextualized on the skin-friction parameters as well as the surface heat transfer rate. The influence of nanofluid volume fraction, Echert number, viscosity based Reynolds numbers, internal heat generation/absorption, wall mass flux and velocity slip are investigated by means of plotted axial and transverse velocity graphs as well as temperature profiles, and they are found to be highly significant on both velocity and temperature fields. Also, the results indicate that relative differences of the values due to Titanium Oxide from those of the Alumina
none-negative in almost all cases with exception of mass flux effect at the wall. In particular, the influence of the nanoparticle volume fraction is to intensify the wall fluid characteristics in both Alumina and Titanium Oxide nanofluids.