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

H.A.  Isede; A.  Adeniyan

H.A. Isede Department of Mathematics, University of Lagos, Akoka, Nigeria.
A. Adeniyan Department of Mathematics, University of Lagos, Akoka, Nigeria.

Keywords: Nanofluid, Heat generation, Thermal dissipation, Mass flux, HPM

Abstract

A comparative investigation is carried out in this paper to study the inuence of Alumina
and Titanium oxide water based nanouids abound and ow 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 dierential equations are formulated and
reduced to ordinary dierential 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-fth-order Runge-Kutta-Fehlberg numerical
quadrature by means of tables. For some selected values of various basic ow parameters,
tables are contextualized on the skin-friction parameters as well as the surface heat transfer
rate. The inuence of nanouid volume fraction, Echert number, viscosity based Reynolds
numbers, internal heat generation/absorption, wall mass ux and velocity slip are investigated
by means of plotted axial and transverse velocity graphs as well as temperature proles, and
they are found to be highly signicant on both velocity and temperature elds. Also, the results
indicate that relative dierences of the values due to Titanium Oxide from those of the Alumina
none-negative in almost all cases with exception of mass ux eect at the wall. In particular,
the inuence of the nanoparticle volume fraction is to intensify the wall uid characteristics in
both Alumina and Titanium Oxide nanouids.

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