Abstract
Thermal non-equilibrium in porous medium is a prevailing condition when discrepancy of temperature exists between the two phases. The solution of a thermal non-equilibrium model requires that the two heat transport equations corresponding to fluid and solid phases, can be solved separately, which, in turn, provides the information of temperature variations of fluid as well as solid phases of the porous domain. A new method is proposed in the current article to solve the energy equations of the thermal non-equilibrium condition in a porous square cavity. The proposed method is able to predict the thermal equilibrium as well as thermal non-equilibrium accurately. The proposed method is used to investigate the heat transfer through the porous cavity subjected to two different boundary conditions with a heating strip being placed inside the porous cavity. It was found that the new method predicted the heat and fluid flow behavior accurately for the previously mentioned case studies. It is noted that the heat transfer is higher when the heating strip is placed toward the cold surface. The Nusselt number at the bottom of the strip toward the right side is almost 10 times higher than that of the left side of the strip.
Highlights
The solution of simultaneous equations governing a particular phenomenon is demanding and this becomes quite laborious if difficult mathematics, such as partial differential equations (PDE), are involved
Identifying the heat transfer characteristics in a porous domain is of paramount importance either due to thermal equilibrium or the thermal non-equilibrium condition
It must be noted that the thermal equilibrium coupled with different phenomenon or having various boundary conditions, as discussed above, has been reported in literature, but there is a gap in the literature for the case where a heating strip is placed inside the porous domain with its size and location varying
Summary
The solution of simultaneous equations governing a particular phenomenon is demanding and this becomes quite laborious if difficult mathematics, such as partial differential equations (PDE), are involved. It must be noted that the thermal equilibrium coupled with different phenomenon or having various boundary conditions, as discussed above, has been reported in literature, but there is a gap in the literature for the case where a heating strip is placed inside the porous domain with its size and location varying. This kind of situation can arise in the drying process, insulation, and electronic equipment. The current work is novel in a way that a new solution methodology is proposed along with applying that methodology to investigate a problem of industrial importance, such as the heat transfer due to a heating strip and different set of boundary conditions in a square porous cavity
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
