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Abstract
Natural convection in cubical enclosure with hot surface geometry and partial partitions has been analyzed. The geometry is a cube with wavy hot surface (three undulations) and three partitions. The investigation has been performed for different partitions lengths and Rayleigh number while the Prandtl number kept constant. This problem is solved by using the partial differential equations which are the equation of mass, momentum, and energy. The results obtained show that the hot wall geometry with partitions affects the flow and the heat transfer rate in the cavity. It has been found also that the mean Nusselt number decreases compared with the heat transfer in the undulated cubical cavity without partitions.
Highlights
Natural convection flow analysis in enclosures has many thermal engineering applications, such as cooling of electronic devices, energy storage systems and fire-safe compartment
Fusegi et al [9] made a three dimensional flow analysis on natural convection in a differentially heated cubical enclosure; the detailed structures of the fields were scrutinized by using high-resolution computational results over the range of Rayleigh numbers studied, 103 ≤ Ra ≤ 106, they clarified three dimensional structures of flow, vorticity and temperature in the cavity; they compared their numerical results with the experimental measurements as studied by Bilsk et al [10]
Frederick [26] made a numerical study of natural convection of air in a differentially heated cubical enclosure with a thick fin placed vertically in the middle of the hot wall; he investigated the variation of overall Nusselt number with Rayleigh number and thermal conductivity ratio
Summary
Natural convection flow analysis in enclosures has many thermal engineering applications, such as cooling of electronic devices, energy storage systems and fire-safe compartment. They showed that the behavior of the heat transfer rate in the enclosure was considerably influenced by the presence of the internal gravity wave motion They [23] carried out a three dimensional numerical simulation of periodic natural convection in a differentially heated cubical enclosure; at the Rayleigh number of 8.5×106, they found that the period of the oscillations was consistent with the experimental measurements. Frederick [26] made a numerical study of natural convection of air in a differentially heated cubical enclosure with a thick fin placed vertically in the middle of the hot wall; he investigated the variation of overall Nusselt number with Rayleigh number and thermal conductivity ratio. The dimensionless governing equations in Cartesian coordinates for the present study take the following forms: Continuity
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