Modeling of frost formation over parallel cold plates considering a two-dimensional growth rate

Armengol, Jan Mateu; Salinas, Carlos; Xamán, J.; Ismail, Kamal Abdel Radi

doi:10.1016/j.ijthermalsci.2016.01.017

Cited by 52 publications

(29 citation statements)

References 19 publications

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“…6, the temperature evolutions simulated by the present LB model are represented with black lines, and the experimental data recorded by Lenic et al [14] are plotted with symbols for comparison. In addition, to comprehensively validate the reliability of the present model, numerical results obtained by existing models of Armengol et al [15] and Wu et al [20], respectively, are shown in Fig. 6 as well.…”

Section: Nomentioning

confidence: 68%

“…(14), the unit of p sat is pascal (Pa) and T is based on the Kelvin scale (K), which can be converted from Celsius scale ( • C) by T (K) = T ( • C) + 273. 15. It has been reported that, during the frosting process, the mass transferred from humid air can be divided into two parts.…”

Section: -2mentioning

confidence: 99%

“…For instance, Luer et al [11] and Lee et al [12] presented both transient and quasi-steady-state models. Lenic et al [13,14] then formulated a model based on supersaturation assumption, and Armengol et al [15] further developed one with a twodimensional (2D) frost growth rate. These models can study the frosting process in 2D configurations, but they completely ignore the convection effects within the frost layer.…”

Section: Introductionmentioning

confidence: 99%

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Generalized lattice Boltzmann model for frosting

Lei

Luo

Wu³

2019

Phys. Rev. E

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Frosting is a multiscale and multiphysics problem, which presents a significant challenge for numerical methods. In this study, a generalized lattice Boltzmann (LB) model is developed to simulate the frosting of humid air at representative elementary volume scale. In this model, three LB equations are introduced to describe the evolution of distribution functions for velocity, temperature, and humidity (i.e., mass fraction of water vapor in the humid air) fields, respectively. The frost layer is regarded as a porous medium, while the humid air is treated as a plain one. This unified LB model can be applied to describe the phase change and transport processes in these two subdomains seamlessly. Through the Chapman-Enskog analysis, the macroscopic equations for the frosting process can be recovered from the present LB model. Benchmark problems in conduction solidification, convection melting and frosting are simulated, and the numerical results match well with analytical or experimental solutions. Finally, this model is applied to simulate frost formation between two parallel plates, and the influences of air velocity, humidity, temperature, and cold wall temperature are evaluated.

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Section: Nomentioning

confidence: 68%

Section: -2mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Generalized lattice Boltzmann model for frosting

Lei

Luo

Wu³

2019

Phys. Rev. E

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“…One should note that the finite-volume approach is used here with the solely purpose of calculating the effective thermal conductivity of frost, which could be done by imposing an arbitrary temperature difference to the porous medium, as shown in Eqs. (10), (12) and (14), in order to produce a heat flux. It is worth of note that the finite-volume approach is not intended to calculate the time-evolution of the frost surface temperature, which can be done by other models available in the literature [7,9].…”

Section: Frost Properties Computationmentioning

confidence: 99%

“…Evaporator design usually relies on simulation tools to predict the degradation of the cooling capacity, the rise of the pressure drop, and the time between defrosts [4]. Such simulation models are based on more fundamental studies of frost growth and densification on simple geometries, as flat surfaces [5][6][7] and parallel plate channels [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

A finite-volume diffusion-limited aggregation model for predicting the effective thermal conductivity of frost

Negrelli

Cardoso

Hermes

2016

International Journal of Heat and Mass Transfer

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Optimal design of fan-supplied tube-fin evaporators subjected to frosting conditions aiming at minimum energy consumption

Ribeiro

Silva

Hermes

2018

J Braz. Soc. Mech. Sci. Eng.

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This work is focused on the optimal sizing of fan-supplied tube-fin evaporators for light commercial refrigerators operating under frosting conditions. Quasi-steady-state algebraic models were put forward for the refrigeration cycle and its components for computing not only the cooling capacity depletion due to the evaporator frosting over time, but also the changes experienced by the evaporating temperature and its effect on the compression power. Transient algebraic models were also advanced to account for the temperature and humidity variations inside the refrigerated compartment, and so the compressor runtime. Both component-level and system-level optimization exercises were performed for sizing the evaporator. The former was focused on the local entropy generation minimization, considering the irreversibilities due to heat transfer, mass transfer and pressure drop that take place at the evaporator, whereas the latter was aimed at the overall energy consumption of the refrigerator, including not only the compression power, but also the heat dissipation within the refrigerated compartment by the defrost heater and the evaporator fan. Notwithstanding the time-averaged cooling capacity and the evaporator envelope have been held constrained, the component-level and the system-level optimization procedures led to different evaporator designs.

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Modeling of frost formation over parallel cold plates considering a two-dimensional growth rate

Cited by 52 publications

References 19 publications

Generalized lattice Boltzmann model for frosting

Generalized lattice Boltzmann model for frosting

A finite-volume diffusion-limited aggregation model for predicting the effective thermal conductivity of frost

Optimal design of fan-supplied tube-fin evaporators subjected to frosting conditions aiming at minimum energy consumption

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