Thermal transport equations in porous media from product-like fractal measure

2021 ◽  
pp. 1-20
Author(s):  
Rami Ahmad El-Nabulsi
Keyword(s):  
Porous Media ◽  
Thermal Transport ◽  
Transport Equations ◽  
Fractal Measure

Thermal Transport Equations and Boundary Conditions at the Nanoscale

2019 ◽  
pp. 37-44
Author(s):  
Marc Calvo-Schwarzwälder ◽  
Matthew G. Hennessy ◽  
Pol Torres ◽  
Timothy G. Myers ◽  
F. Xavier Alvarez
Keyword(s):  
Boundary Conditions ◽  
Thermal Transport ◽  
Transport Equations

scholarly journals Thermal Transport in Metallic Porous Media

10.5772/27018 ◽  
2011 ◽  
Author(s):  
Z.G. Qu ◽  
H.J. Xu ◽  
T.S. Wang ◽  
W.Q. Tao ◽  
T.J. Lu
Keyword(s):  
Porous Media ◽  
Thermal Transport

Analysis of thermal transport and fluid flow in high-temperature porous media solar thermochemical reactor

Solar Energy ◽  
2018 ◽  
Vol 173 ◽  
pp. 814-824 ◽  
Author(s):  
Hao Zhang ◽  
Bachirou Guene Lougou ◽  
Ruming Pan ◽  
Yong Shuai ◽  
Fuqiang Wang ◽  
...  
Keyword(s):  
Porous Media ◽  
Fluid Flow ◽  
High Temperature ◽  
Thermal Transport ◽  
Solar Thermochemical

Conjugate Heat Transfer Within a Heterogeneous Hierarchical Structure

2011 ◽  
Vol 133 (10) ◽  
Author(s):  
Ivan Catton
Keyword(s):  
Heat Transfer ◽  
Porous Media ◽  
Heat Exchangers ◽  
Transport Equations ◽  
Complex Data ◽  
Structural Morphology ◽  
Tube Heat Exchanger ◽  
Temperature Problem ◽  
Finned Tube Heat Exchanger ◽  
Two Temperature

Optimization of heat exchangers (HE), compact heat exchangers (CHE) and microheat exchangers, by design of their basic structures is the focus of this work. Consistant models are developed to describe transport phenomena in a porous medium that take into account the scales and other characteristics of the medium morphology. Equation sets allowing for turbulence and two temperature or two concentration diffusion are obtained for nonisotropic porous media with interface exchange. The equations differ from known equations and were developed using a rigorous averaging technique, hierarchical modeling methodology, and fully turbulent models with Reynolds stresses and fluxes in the space of every pore. The transport equations are shown to have additional integral and differential terms. The description of the structural morphology determines the importance of these terms and the range of application of the closure schemes. A natural way to transfer from transport equations in a porous media with integral terms to differential equations with coefficients that could be experimentally or numerically evaluated and determined is described. The relationship between computational fluid dynamics, experiment and closure needed for the volume averaged equations is discussed. Mathematical models for modeling momentum and heat transport based on well established averaging theorems are developed. Use of a “porous media” length scale is shown to be very beneficial in collapsing complex data onto a single curve yielding simple heat transfer and friction factor correlations. The general transport equations developed for a single phase fluid in a heat exchange medium have many more integral and differential terms than the homogenized or classical continuum mechanics equations. Once these terms are dealt with by closure, the resulting equation set is relatively simple and their solution is obtained using simple numerical methods quickly enough for multiple parameter optimization using design of experiment or genetic algorithms. Current efforts to significantly improve the performance of an HE for electronic cooling, a two temperature problem, and of a finned tube heat exchanger, a three temperature problem, are described.

A stochastic model for thermal transport of nanofluid in porous media: Derivation and applications

2018 ◽  
Vol 75 (4) ◽  
pp. 1226-1236 ◽  
Author(s):  
Mingyang Pan ◽  
Liancun Zheng ◽  
Chunyan Liu ◽  
Fawang Liu ◽  
Ping Lin ◽  
...  
Keyword(s):  
Porous Media ◽  
Stochastic Model ◽  
Thermal Transport
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