Abstract
The combined effect of Brownian diffusion, thermophoresis and cavity inclination angle on natural convective heat transfer in an inclined porous enclosure has been studied numerically. Fluid containing nanoparticles of low concentration circulates inside the cavity under the effect of the buoyancy force. Governing equations with corresponding boundary conditions formulated using the non-dimensional stream function and vorticity variables have been solved by the finite difference method. An influence of the cavity inclination angle, Darcy and Nield numbers on nanofluid flow and heat transfer has been investigated. It has been found that high Nield numbers illustrate more equilibrium temperature distribution inside the porous cavity.
Highlights
Fluid flow in porous media has been an area of intensive investigation for the last decades
Growth of the Nield number illustrates more intensive thermal interaction between the fluid phase and solid matrix that results in a domination of the heat conduction
As has been mentioned above, low values of H reflect weak interaction between fluid and solid and as a result Nu f is high, while a rise of the Nield number leads to the reduction of the heat transfer rate inside the nanofluid
Summary
Fluid flow in porous media has been an area of intensive investigation for the last decades. The growing emphasis on effective granular and fibrous insulation systems, for the successful containment of the transport of radionuclide from deposits of nuclear waste materials, has stimulated various studies in fluid saturated porous media and many results were obtained for the forced and convective flow in the fundamental geometries of internal (cavities, annulus, etc.) and external (over surfaces) flows (Nield and Bejan [1]). Since a large number of practical applications, both industrial and environmental, have caused a rapid extension of the research, and a substantial number of articles, which relate the boundary-layer flow past surfaces of various flow configuration models, have been published. The aim of the present study is to analyze numerically transient free convection in an inclined square porous cavity filled with a water-based nanofluid using LTNE and Buongiorno’s models. The partial differential equations with corresponding initial and boundary conditions have been solved using a developed in-house computational fluid dynamics code on the basis of the finite difference method of the second order accuracy
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