A fractal model for the coupled heat and mass transfer in porous fibrous media

Zhu, Qunyi; Xie, Mingyuan; Yang, Jingyi; Li, Yi

doi:10.1016/j.ijheatmasstransfer.2010.12.001

Cited by 57 publications

(24 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In view of the success of using fractal theory for modeling the effective thermal conductivity of porous media, either structured or randomly distributed [32][33][34], a few fractal-based thermal conductivity models have been established for porous building materials, like wood [35] and concrete [36], at dry state. The fractal theory has also been employed to analyze multiscale pore structure of building materials, including earthbased materials [37], cement pastes [38,39], and concrete [40] as well.…”

Section: Introductionmentioning

confidence: 99%

Experimental determination and fractal modeling of the effective thermal conductivity of autoclaved aerated concrete: Effects of moisture content

Jin

Yao

Fan

et al. 2016

International Journal of Heat and Mass Transfer

137

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

Experimental determination and fractal modeling of the effective thermal conductivity of autoclaved aerated concrete: Effects of moisture content

Jin

Yao

Fan

et al. 2016

International Journal of Heat and Mass Transfer

137

View full text Add to dashboard Cite

“…(12) and (28), the dimensionless number H is determined by the solid surface zeta potential and maximum pore radius.…”

Section: Effective Permeability In Fractal Porous Fibrous Mediamentioning

confidence: 99%

“…Xu [11] used the fractal geometry theory to investigate the permeability of the fractal-like tree network by parallel and series models. Zhu [12] developed a fractal model to analyze the effects of porosity of porous fibrous media on heat and mass transfer. Miao [13] proposed a fractal model to analyze the permeability of the rocks with shear fractures which widely exist in nature such as oil/gas reservoirs.…”

Section: Introductionmentioning

confidence: 99%

An analytical permeability model for power-law fluids in porous fibrous media with consideration of electric double layer

Zhu

Zhuang

2015

International Journal of Heat and Mass Transfer

Self Cite

View full text Add to dashboard Cite

“…For it has relationship with the starting angle θ 0 between the inlet particle followed by airflow with droplet, the r θ can be obtained after inversion deduce from (21) to (24), which can be presented as:…”

Section: Pm 25 Removal Efficiency Of Liquid Dropletsmentioning

confidence: 99%

“…Some scholars put forward that size and spatial distribution of liquid droplets and membranes have fractal characteristics according to "the sequence of events" model which were proposed by Rose and Glickman [21]. The role of droplet and membrane size distribution on the analysis of the vapor condensation is important in modeling dust removal by condensed droplets and membrane [22].…”

Section: Combine the Two Parts Together Based On Fractal Theorymentioning

confidence: 99%

Modeling of the Flue Gas Condensation for the PM2.5 Removal Efficiency of a Integrated Technology

Liu

Cheng

2015

Arab J Sci Eng

View full text Add to dashboard Cite

A combined pseudo-homogeneous and fractal geometry model was developed to simulate the process of a integrated technology. The technology was proposed to replace heat pipes and WFGD, which is based on the theory that liquid membrane and droplets grow in size by vapor heterogeneous condensation with they acting as nucleation centers and then the grown droplets are removed efficiently by using integrated diverse combinations of condenser pipes and a highly efficient scrubber. The model has been approached useful for both analyzing results and aiding in design of the technology by conducting a twodimensional steady-state model by means of infinitesimal analysis, incorporating with the models of whole fine particles absorption efficiency of a regularly arranged liquid membrane and droplets column group, and the models of geometric classifications for liquid and solid based on the fractal dimension identified by different structural of radius of gyration of liquid-solid interface transition zone. The predicted values were also compared with the experimental results, and they are in excellent agreement. The results showed that: When the fractal dimension d f is 0.3, the calculation result is the most closer to actual experiment parameter. The PM 2.5 diffusion volume flux value V w ranges from 22 and 45 mm/s. List of SymbolsAbbreviations R e Reynolds number of flow gas P r Prandtl number of flow gas S c Schmidt number of water vapor S h Sherwood number F Fanning friction factor K th Thermophoretic coefficient ∇T Temperature gradient of the fluid symbols K th Thermophoresis coefficient C Constant number, C = 0.75, or, C = 0.5 α, γ , p, q Fractal ratio (%) β Blockage, % ε fiber porosity (%) r Circular radius of heat exchange tube (m) W j The width of a single liquid dropletss column (m) r f , The vertical axle line distance of two droplets (m) l Characteristic length of channel (m) d Qualitative dimension size of the channel (m) D f Diameter of PM 2.5 separation of droplets (m) δ Thickness of the temperature boundary layer (m) δ t Vapor concentration boundary layer (m) δ c PM 2.5 concentration boundary layer, respectively (m) δ p Boundary layer thickness of PM 2.5 concentration (m) k Flow gas thermal conductivity [w/(m k)] k w Convective mass transfer coefficient of water vapor (m/s) u Particulate axial velocity (m/s) u j Average air velocity corresponding with W j (m/s) 123 Arab J Sci Eng V w Vapor diffusion volume flux of boundary layer (m/s) V d Particulate migration velocity (m/s) v th Thermophoretic velocity, respectively (m/s) v θ Horizontal direction of gas flow velocity (m/s) v r Perpendicular direction of gas flow velocity (m/s) v d Dust particle velocity (m/s) v p Droplets velocity (m/s) υ g Gas kinematic viscosity (m 2 /s) μ g PM 2.5 dynamic viscosity (m 2 /s) D M Virtual membrane mass transfer coefficient (m 2 /s) D p PM 2.5 diffusion coefficient (m 2 /s) D w Water vapor-air diffusion coefficient, respectively (m 2 /s) n w Water vapor condensation mass flux (kg/(m 2 s)) c p Mass concentration of PM 2.5 compone...

show abstract

A fractal model for the coupled heat and mass transfer in porous fibrous media

Cited by 57 publications

References 21 publications

Experimental determination and fractal modeling of the effective thermal conductivity of autoclaved aerated concrete: Effects of moisture content

Experimental determination and fractal modeling of the effective thermal conductivity of autoclaved aerated concrete: Effects of moisture content

An analytical permeability model for power-law fluids in porous fibrous media with consideration of electric double layer

Modeling of the Flue Gas Condensation for the PM2.5 Removal Efficiency of a Integrated Technology

Contact Info

Product

Resources

About