A simplistic model for the tortuosity in two-phase close-celled porous media

Yang, Xiaohu; Lu, Tingting; Kim, T

doi:10.1088/0022-3727/46/12/125305

Cited by 21 publications

(5 citation statements)

References 20 publications

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“…It can be found that the values of thermal tortuosity increases with the increase of porosity. This indicates that AFS panel with larger porosity has a longer heat transfer path, which is in agreement with the results of Yang et al [28]. Seen from fig.…”

Section: Resultssupporting

confidence: 92%

“…In addition, to better understand the heat transfer mechanism of porous foam material, a number of attempts have been focused on thermal tortuosity, τ, which is defined as the ratio of the route length of heat conduction and the linear conduction [26][27][28]. The effective thermal conductivity of porous material can be evaluated by porosity and thermal tortuosity, namely, it is a function of the porosity and thermal tortuosity:…”

Section: Resultsmentioning

confidence: 99%

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Numerical simulations of effective thermal conductivity in aluminum foam sandwich panel

Zhao¹,

Hu²

2018

Therm sci

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In this work, the effective thermal conductivities of aluminum foam sandwich panels with the porosity range from 40% to 60% were studied by simulation method. The influence of porosity and pore size on the effective thermal conductivities was analyzed, and their influence mechanism was studied. In addition, simulation results were verified by theoretical formula. This further proves the feasibility of simulation method for research on the effective thermal conductivity of aluminum foam sandwich panels. The results confirmed that the porosity and pore size of aluminum foam sandwich panel had great impact upon its effective thermal conductivity.

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Section: Resultssupporting

confidence: 92%

Section: Resultsmentioning

confidence: 99%

Numerical simulations of effective thermal conductivity in aluminum foam sandwich panel

Zhao¹,

Hu²

2018

Therm sci

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“…A commercialized copper foam comes in 5 to 120 PPI, corresponding to pore sizes of 0.1 mm to 10 mm. According to Yang, et al [89], β = 1.00 and 1.05 for a circle and a hexagon, respectively. The symbol λ in Equation ( 3) is the symmetric, second-rank thermal conductivity tensor.…”

Section: Materials Parameters Solid (≤25mentioning

confidence: 99%

Analysis of Thermal Management Strategies for 21700 Lithium-Ion Batteries Incorporating Phase Change Materials and Porous Copper Foam with Different Battery Orientations

Wang,

Leong

2024

Energies

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The significant amount of heat generated during the discharge process of a lithium-ion battery can lead to battery overheat, potential damage, and even fire hazards. The optimal operating temperature of a battery ranges from 25 °C to 45 °C. Hence, battery thermal management cooling techniques are crucial for controlling battery temperature. In this work, the cooling of 21700 lithium-ion batteries during their discharging processes using phase-change materials (PCMs) and porous pure copper foams were simulated. The effects of discharge intensities, battery orientations, and battery arrangements were investigated by observing the changes in temperature distributions. Based on current simulations for a 2C discharge, air-cooled vertical batteries arranged in unidirectional configuration exhibit an increase in heat dissipation by 44% in comparison to the horizontal batteries. This leads to a decrease in the maximum battery temperature by about 10 °C. The use of either PCMs or copper foams can effectively cool the batteries. Regardless of the battery orientation, the maximum battery temperature during a 2C discharge drops dramatically from approximately 90 °C when air-cooled to roughly 40 °C when the air is replaced by PCM cooling or when inserted with a copper foam of 0.9 porosity. If the PCM/copper foam approach is implemented, this maximum temperature further decreases to slightly above 30 °C. Although not very significant, it has been discovered that crossover arrangement slightly reduces the maximum temperature by no more than 1 °C. When a pure copper foam with a porosity ranging from 0.90 to 0.97 is saturated with a PCM, the excellent thermal conductivity of pure copper, combined with the PCM latent heat absorption, can best help maintain the battery pack within its range of optimal operating temperatures. If the porosity of the copper foam decreases from 0.95 to 0.5, the volumetric average temperature of the batteries may increase from 30 °C to 31 °C.

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“…As opposed to the Maxwell-Euken expression, the differential scheme has no restrictions as regards the value of the pore volume fraction; hence, it may be a suitable homogenization scheme for highly porous materials. Bauer (1993) and Yang et al (2013c) obtained this result by solving the Laplace equation (combined field and constitutive equation, respectively, in Table 1) by perturbation of the (initially) uniform temperature gradient in the solid material due to the introduction of pores, giving…”

Section: Introductionmentioning

confidence: 99%

“…, with β as a shape factor for consideration of non-spherical pore shape (regular polygons in the 2D case, polyhedrons in the 3D case), see numerical results and analysis in Zhang et al (2009), Yang et al (2013c).…”

Section: Introductionmentioning

confidence: 99%

Thin-Shell Model for Effective Thermal and Electrical Conductivity of Highly Porous Closed-Cell Metal Foams

2016

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In this paper, a unit-cell model for determination of the effective thermal and electrical conductivity, respectively, of highly porous, closed-cell metal foams is presented. Hereby, (i) a large contrast between the transport properties of the conducting, solid material phase and the pore space is assumed, and (ii) thin, interconnected spherical shells of the solid material phase in a simple cubic arrangement are considered as a geometrical model. The unit-cell model prediction is compared to (i) literature data and (ii) well-established homogenization schemes from the effective medium theory.

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A simplistic model for the tortuosity in two-phase close-celled porous media

Cited by 21 publications

References 20 publications

Numerical simulations of effective thermal conductivity in aluminum foam sandwich panel

Numerical simulations of effective thermal conductivity in aluminum foam sandwich panel

Analysis of Thermal Management Strategies for 21700 Lithium-Ion Batteries Incorporating Phase Change Materials and Porous Copper Foam with Different Battery Orientations

Thin-Shell Model for Effective Thermal and Electrical Conductivity of Highly Porous Closed-Cell Metal Foams

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