Conjugate natural convection in a fluid‐saturated porous enclosure with two solid vertical partitions

• Published in: Heat transfer, Asian research Asian research, 2018-12, Vol.47 (8), p.1031-1047
• Main Authors: Chordiya, Jayesh Subhash, Sharma, Ram Vinoy
• Format: Article
• Language: English
• Subjects: Computational fluid dynamics; Conjugates; Enclosures; finite difference method; Fluid flow; Free convection; Heat conductivity; Heat transfer; mathematical modelling; Mathematical models; Numerical analysis; Nusselt number; Parameter modification; Partitions; Porous media; Rayleigh number; Thermal conductivity; unsteady flow; Viscosity
• ISSN: 1099-2871; 1523-1496
• DOI: 10.1002/htj.21364

Conjugate natural convection in a fluid‐saturated square porous enclosure with two solid vertical partitions of finite and equal thickness equispaced from center of enclosure is investigated in this paper. The primary objective is to attenuate the Nusselt number (Nu) and hence the heat transfer rate across a differentially heated enclosure. Darcy's model is considered. Numerical computation is performed using successive accelerated replacement and explicit scheme. Partition ratio, partition length, thermal conductivity ratio, and modified Rayleigh number are the parameters under study. Fluid flow is analyzed by observing transient changes of streamlines and isotherms for partition length 0.3‐1, thermal conductivity ratio 0.5‐2, partition ratio 0.1‐0.3 and modified Rayleigh number 100 and 1000 where partition ratio is the ratio of distance between center of enclosure and either of the partition center to the total length of the enclosure; while Nusselt number is calculated to estimate the heat transfer rate for each configuration. It is found that, employing a solid partition within the enclosure most definitely reduces the Nusselt number. The drop in Nusselt number is more for partition length 0‐0.6 after which it does show a drop in Nu but only very subtle. Further, Nu is the least for partition ratio 0.2. Also, Nusselt number is proportional to thermal conductivity ratio which is the ratio of thermal conductivity of solid to porous medium.