Unsteady flow of variable viscosity Cu-water and Al₂O₃-water nanofluids in a porous pipe with buoyancy force

Abstract

Purpose – The purpose of this paper is to investigate the combined effects of buoyancy force and variable viscosity on unsteady flow and heat transfer of water-based nanofluid containing copper and alumina as nanoparticles through a porous pipe. Design/methodology/approach – Using the Boussinesq and boundary-layer approximations with Buongiorno nanofluid model. The governing nonlinear partial differential equations for the continuity, momentum and energy balance are formulated. The equations obtained are solved numerically using a semi-discretization finite difference method (know) as method of line coupled with Runge-Kutta-Fehlberg integration scheme. Findings – Numerical results for the skin-friction, heat transfer and for the velocity and temperature profiles are obtained. The results show that with suction, Cu-water produces higher skin friction and heat transfer rate than Al2O3-water. Both nanofluids velocity and temperature increase with a decrease in viscosity and an increase in buoyancy force intensity. Practical implications – Buoyancy-driven flow and heat transfer in porous geometries has many significant applications in industrial and engineering such as, electrical and microelectronic equipments, solar-collectors, geothermal engineering, petroleum reservoirs, thermal buildings insulation. This work provides very important information for researchers on this subject. Originality/value – This paper illustrates the effects of buoyancy force and temperature dependent on heat transfer and fluid flow problem using Cu-water and Al2O3-water nanofluids in a porous pipe.

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“…Khamis et al [55] investigated the combined effects of buoyancy force and variable viscosity on unsteady flow and heat transfer of water-based nanofluid containing copper and alumina as nanoparticles through a porous pipe, using the Boussinesq and boundary-layer approximations with Buongiorno nanofluid model. The results showed that with suction, Cu-water produces higher skin friction and heat transfer rate than Al2O3-water.…”

Effect of joule heating and hall current on MHD flow of a Nanofluid due to a rotating disk with viscous dissipation

“…The effects of these parameters on the non-dimensional velocities and temperature are shown in figs. (2)- (15).…”

“…In this section, the optimal homotopy asymptotic method (OHAM) is applied to non-linear ODE (11)-(13) with the boundary conditions (14) and (15) with the following assumptions:…”

“…Makinde et al [14] studied the MHD flow of variable viscosity nanofluid over a stretching surface. Khamis et al [15] studied the unsteady MHD flow of variable viscosity nanofluid in a porous pipe with buoyancy. Makinde et al [16] studied the effect of viscous dissipation and Newtonian heating on boundary-layer flow of nanofluids over a flat plate.…”

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