Darcian Natural Convection in Inclined Square Cavity Partially Filled Between the Central Square Hole Filled with a Fluid and Inside a Square Porous Cavity Filled with Nanofluid

Abstract

The problem of darcian natural convection in inclined square cavity partially filled between the central square hole filled with fluid and inside a square porous cavity filled with nanofluid is numerically studied using the finite element m ethod. The left vertical wall is maintained at a constant hot temperature T h and the right vertical wall is maintained at a constant cold temperature T c , while the horizontal walls are adiabatic. The governing equations are obtained by applying the Darcy model and Boussinesq approximation. COMSOL's finite element method is used to solve the non-dimensional governing equations together with the specified boundary c onditions. The governing parameters of this study are the Rayleigh number (10 3 ≤ Ra ≤ 10 7 ), the Darcy number (10 −5 ≤ Da ≤ 10 −3 ), the fluid layer thickness (0.4 ≤ S ≤ 0.8) and the inclination angle of the cavity ( 0 • ≤ ω ≤ 6 0 • ). The results for the values of the governing parameters in terms of the streamlines, isotherms and average Nusselt number will be presented. The convection is shown to be inhibited by the presence of the hole insert. The thermal property of the insert and the size have opposite influence on the convection. The results have possible applications in heat-removal and heat-storage fluid-saturated porous systems.

Computational Fluid Dynamics Investigation of Buoyancy Driven Flow Between Circular Body and Wavy Enclosure Filled with Nanofluid/Porous Medium

“…The thermal conductivity and viscosity of nanofluid models have been calculated using Eq. (17-18) which had been used by many researchers like [39, [61][62][63][64][65][66][67][68][69][70][71][72]:…”

Nanofluid natural convection of hot concentric cylinder in oval-shaped porous cavity at different eccentricity

“…They noticed that the existence of nanomaterials within the cavity led to a decline in the heat transfer rate due to their increased dynamic viscosity, and thus, it could be useful for nanofluid applications that required improved dielectric or antibacterial properties. Alsabery et al. (2016) used an oblique porous cavity to study the free convection of a working nanofluid.…”

“…Also, they confirmed that the Nusselt number has been significantly positively affected by the Darcy number, especially at the high value of the Darcy number, as it has shown a noticeable increase. Another group by Alsabery et al. (2016) used the GFEM to model the free convection behavior inside two inclined concentric square cavities.…”

“…The outcomes emphasized the importance of nanofluid and porosity in enhancing thermal performance and indicated possible uses in heat removal and storage applications in porous nanofluid systems. Also, a new group by Alsabery et al. (2016) used the finite-difference method to model the free convection behavior inside a square cavity-filled nanofluid porous layer containing a solid square block.…”

Heat generating porous matrix effects on Brownian motion of nanofluid

“…Natural heat transfer through cavities saturated with heat generating porous media is widely investigated due to its extensive applications in the fields of thermal and geothermal energy, heat convection management (due to buried atomic wastes), combustion technology, porous catalysts, soil pollution, exothermic reactions inside porous reactors and fuel cells performance enhancement (Rashidi et al , 2012; Pop et al , 2016; Alsabery et al , 2016; Sheremet and Pop, 2015; Rashad et al , 2017; Sun and Pop, 2013; Alsabery et al , 2017; Sheikholeslami et al , 2015). Likewise, there is a novel concept known as nanofluids introduced by Choi and Eastman (1995) has gained a great deal of attention in a wide range of studies to enhance heat transfer rate by higher thermal conductivity of nanofluids compared to the base fluid.…”