An analytical consideration of steady-state forced convection within a nanofluid-saturated metal foam

Zhang, W.; Li, W.; Nakayama, A.

doi:10.1017/jfm.2015.131

Cited by 38 publications

(18 citation statements)

References 33 publications

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“…In this study, only transverse thermal dispersion conductivity is needed since the flow is thermally and hydro-dynamically fully developed. The corre-lation suggested by Zhang et al [34] is used in this study. As can be seen, the dispersion thermal conductivity depends on the pore-based Reynolds number and porosity.…”

Section: 𝑑 𝑝 = 𝑃𝑃𝐼mentioning

confidence: 99%

Double-Layer Metal Foams for Further Heat Transfer Enhancement in a Channel: An Analytical Study

2021

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A local thermal non-equilibrium analysis of heat and fluid flow in a channel fully filled with aluminum foam is performed for three cases: (a) pore density of 5 PPI (pore per inch), (b) pore density of 40 PPI, and (c) two different layers of 5 and 40 PPI. The dimensionless forms of fully developed heat and fluid flow equations for the fluid phase and heat conduction equation for the solid phase are solved analytically. The effects of interfacial heat transfer coefficient and thermal dispersion conductivity are considered. Analytical expressions for temperature profile of solid and fluid phases, and also the channel Nusselt number (NuH) are obtained. The obtained results are discussed in terms of the channel-based Reynolds number (ReH) changing from 10 to 2000, and thickness ratio between the channel height and sublayers. The Nusselt number of the channel with 40 PPI is always greater than that of the 5 PPI channel. It is also greater than the channel with two-layer aluminum foams until a specific Reynolds number then the Nusselt number of the channel with two-layer aluminum foams becomes greater than the uniform channels due to the higher velocity in the outer region and considerable increase in thermal dispersion.

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Section: 𝑑 𝑝 = 𝑃𝑃𝐼mentioning

confidence: 99%

Double-Layer Metal Foams for Further Heat Transfer Enhancement in a Channel: An Analytical Study

2021

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“…The obtained results of longitudinal thermal dispersion by using Eq. ( 23) for 10 and 20 PPI aluminum foams are compared with the correlation of Zhang et al [16] given in Table 2 and shown in Figure 11. To the best of our knowledge, their suggested equation is the only correlation relating to the longitudinal thermal dispersion of the metal foams in literature.…”

Section: Longitudinal Thermal Dispersionmentioning

confidence: 99%

“…Calmidi and Mahajan [13] suggested a correlation in terms of permeability based Re number while the correlation suggested by Vijay et al [9] is based on channel Re number. Furthermore, Zhang et al [16] used conduit model and suggested a correlation both for longitudinal and transverse thermal dispersion for metal foams. They derived their correlations for thermal dispersion by using the correlation of Calmidi and Mahajan [13] suggested for the interfacial heat transfer coefficient.…”

Section: Introductionmentioning

confidence: 99%

A numerical study on determination of volume averaged thermal transport properties of metal foam structures using X-ray microtomography technique

Çelik

Mobedi

Nakayama

et al. 2018

Numerical Heat Transfer, Part A: Applications

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Volume averaged thermal transport properties of two metal foams with 10 and 20 PPI are obtained by using microtomography technique. The digital 3D structures of samples are generated in computer environment. The governing equations are solved for the entire domain and the volume averaged technique is used to determine interfacial heat transfer coefficient, longitudinal and transverse thermal dispersion conductivity. The study is performed for the pore scale Reynolds number from 100 to 600. The obtained results are within the ranges of the suggested correlations in literature. The present study supports the correlations suggested by Calmidi and Mahajan (2000) and Zhang et al. (2016).

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“…Ghahremannezhad and Vafai (2018) presented a comprehensive study using porous substrates in MCHSs to find an optimized design, which improves thermal and hydraulic performance of conventional microchannels. Zhang et al (2015) analytically study the fully-developed forced convective heat transfer in a parallel-plate channel, which is filled with porous medium by considering the thermal dispersion and particle mechanical dispersion.…”

Section: Introductionmentioning

confidence: 99%

Multi-phase lattice Boltzmann (LB) simulation for convective transport of nanofluids in porous structures with phase interactions

Xing¹,

Han

Huang

et al. 2021

HFF

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Purpose A combination of highly conductive porous media and nanofluids is an efficient way for improving thermal performance of relevant applications. For precisely predicting the flow and thermal transport of nanofluids in porous media, the purpose of this paper is to explore the inter-phase coupling numerical methods. Design/methodology/approach Based on the lattice Boltzmann (LB) method, this study combines the convective flow, non-equilibrium thermal transport and phase interactions of nanofluids in porous matrix and proposes a new multi-phase LB model. The micro-scale momentum and heat interactions are especially analyzed for nanoparticles, base fluid and solid matrix. A set of three-phase LB equations for the flow/thermal coupling of base fluid, nanoparticles and solid matrix is established. Findings Distributions of nanoparticles, velocities for nanoparticles and the base fluid, temperatures for three phases and interaction forces are analyzed in detail. Influences of parameters on the nanofluid convection in the porous matrix are examined. Thermal resistance of nanofluid convective transport in porous structures are comprehensively discussed with the models of multi-phases. Results show that the Rayleigh number and the Darcy number have significant influences on the convective characteristics. The result with the three-phase model is mildly larger than that with the local thermal non-equilibrium model. Originality/value This paper first creates the multi-phase theoretical model for the complex coupling process of nanofluids in porous structures, which is useful for researchers and technicians in fields of thermal science and computational fluid dynamics.

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An analytical consideration of steady-state forced convection within a nanofluid-saturated metal foam

Cited by 38 publications

References 33 publications

Double-Layer Metal Foams for Further Heat Transfer Enhancement in a Channel: An Analytical Study

Double-Layer Metal Foams for Further Heat Transfer Enhancement in a Channel: An Analytical Study

A numerical study on determination of volume averaged thermal transport properties of metal foam structures using X-ray microtomography technique

Multi-phase lattice Boltzmann (LB) simulation for convective transport of nanofluids in porous structures with phase interactions

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