Abstract
The heat transfer and entropy generation in a tube filled with double-layer porous media are analytically investigated. The wall of the tube is subjected to a constant heat flux. The Darcy-Brinkman model is utilized to describe the fluid flow, and the local thermal non-equilibrium model is employed to establish the energy equations. The solutions of the temperature and velocity distributions are analytically derived and validated in limiting case. The analytical solutions of the local and total entropy generation, as well as the Nusselt number, are further derived to analyze the performance of heat transfer and irreversibility of the tube. The influences of the Darcy number, the Biot number, the dimensionless interfacial radius, and the thermal conductivity ratio, on flow and heat transfer are discussed. The results indicate, for the first time, that the Nusselt number for the tube filled with double-layer porous media can be larger than that for the tube filled with single layer porous medium, while the total entropy generation rate for the tube filled with double-layer porous media can be less than that for the tube filled with single layer porous medium. And the dimensionless interfacial radius corresponding to the maximum value of the Nusselt number is different from that corresponding to the minimum value of the total entropy generation rate.
Highlights
Porous media has considerable advantages of large specific surface area and complex pore structure, which makes the porous media have excellent heat transfer performance and extensive range of industrial applications, such as sewage treatment, electronic device cooling, fuel cells, solar collectors, compact heat exchanger, and heat transfer enhancement.Heat transfer and transport phenomenon in porous media has gained increasing attention.Kim et al [1] derived the analytical solution for temperature field in the microchannel heat sink.Jing et al [2,3] theoretically and numerically studied the flow and heat transfer in tree-like branching microchannel
The analytical solutions in this paper can be validated for a limiting case in which the tube is fully filled with single layer porous medium
When ε1 = ε2 = 1 and the Darcy number approaches infinity, the present solution of the Nusselt number is 4.365, which is very close to the classical theoretical and experimental value for thermally fully developed clear flow
Summary
Porous media has considerable advantages of large specific surface area and complex pore structure, which makes the porous media have excellent heat transfer performance and extensive range of industrial applications, such as sewage treatment, electronic device cooling, fuel cells, solar collectors, compact heat exchanger, and heat transfer enhancement.Heat transfer and transport phenomenon in porous media has gained increasing attention.Kim et al [1] derived the analytical solution for temperature field in the microchannel heat sink.Jing et al [2,3] theoretically and numerically studied the flow and heat transfer in tree-like branching microchannel. Porous media has considerable advantages of large specific surface area and complex pore structure, which makes the porous media have excellent heat transfer performance and extensive range of industrial applications, such as sewage treatment, electronic device cooling, fuel cells, solar collectors, compact heat exchanger, and heat transfer enhancement. Heat transfer and transport phenomenon in porous media has gained increasing attention. Kim et al [1] derived the analytical solution for temperature field in the microchannel heat sink. Jing et al [2,3] theoretically and numerically studied the flow and heat transfer in tree-like branching microchannel. Pavel and Mohamad [4] conducted experimental work to investigate the influence of inserting porous media on heat transfer rate within a tube. Lu et al [5] theoretically study the effects of porosity and pore size on heat transfer in a pipe filled with high porosity porous media
Sign-in/Register to view highlights & summary 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.
