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Study of Natural Convection in Fluid-saturated Porous Thermal Insulations with Multiple Inclined Diathermal Partitions

Received: 24 April 2018 Accepted: 3 August 2018 Natural convection fluid flow and heat transfer is considered within a fluid-saturated porous enclosure with inclined diathermal partitions at 135 ̊. The primary objective of the paper is to attenuate the heat transfer rate across a differentially heated porous enclosure that is encountered in thermal insulations. This suppression is brought about by obstructing the flow with diathermal partitions, targeted to isolate two specific regions of the enclosure. The temperature distribution in porous enclosure with no partitions reveal that, there exists a high temperature gradient in the vicinity of lower half of hot face and upper half of cold face. Isolating these regions from the rest of enclosure is the physics behind employing multiple inclined partitions. Momentum equations are defined by Darcy model and the governing equations are discretized using Finite Difference Method (FDM) and solved by Successive Accelerated Replacement (SAR) scheme. Fluid flow and heat transfer analysis is performed for following parameters: modified Rayleigh number (Ra*) from 10 to 10, partition ratio (PR) from 0 to 1, aspect ratio (AR) as 1. One of the main findings of this study is that, to suppress the natural convection effectively, the fluid flow along the lower half of the hot wall and upper half of the cold wall must be well obstructed or mechanically isolated as these regions bear high temperature gradient. Maximum reduction in average Nusselt number is obtained for PR=0.8 irrespective of the value of Ra*.