The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
A study of frost growth and densification on flat surfaces
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Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Both the data and the model indicate that the frost growth increases with a decrease in the cold plate temperature, as is to be expected.”
From Frost growth and densification in laminar flow over flat surfaces (2011) · cites this paper as [9]
In the citing paper
“The present model favorably compares with the measurements for various wall temperatures, except for T = 257 K where the error is relatively large.”
From Frost growth and densification in laminar flow over flat surfaces (2011) · cites this paper as [9]
In the citing paper
“It is noticed that in the early frost growth period, the predicted frost thickness generally exceeds the test data for relatively high wall temperatures, while for the low wall temperature the trend is opposite.”
From Frost growth and densification in laminar flow over flat surfaces (2011) · cites this paper as [9]
In the citing paper
“This effect arises due to an augmentation in the supercooling degree that results in a higher overall mass flux and a lower frost density (Hermes [9]).”
From Frost growth and densification in laminar flow over flat surfaces (2011) · cites this paper as [9]
In the citing paper
“The results suggest that with a decrease in wall temperature, the frost thickness increases, while the frost surface temperature and the frost density decrease.”
From Frost growth and densification in laminar flow over flat surfaces (2011) · cites this paper as [9]
In the citing paper
“In general, the model satisfactorily describes the data for frost growth, frost surface temperature and frost density for t = 60 min and 120 min.”
From Frost growth and densification in laminar flow over flat surfaces (2011) · cites this paper as [9]
In the citing paper
“It is also noticed form the data that as the relative humidity increases, the frost thickness increases with an accompanying increase in frost surface temperature and frost density.”
From Frost growth and densification in laminar flow over flat surfaces (2011) · cites this paper as [9]
In the citing paper
“Compared with Wong ' s model [57], the present model exhibits closer agreement with the experimental data reported in Ref. [51], yielding an average deviation of only 10.43% for δ fr.”
From A physics-informed quasi-steady frosting model with coupled heat–mass transfer for predicting frost layer growth (2026) · cites this paper as [51]
In the citing paper
“most predictions fall within the ± 15% error band”
From A physics-informed quasi-steady frosting model with coupled heat–mass transfer for predicting frost layer growth (2026) · cites this paper as [51]
In the citing paper
“This behavior can be rationalized by δ fr increasing with T a when F p is fixed [51,62]; combining Eqs. (7) and (8) shows that higher air-flow temperature el evates both the moisture flux q tot and t and the frost-layer temperature T fs, and their coupling constrains the variation range of m”
From A physics-informed quasi-steady frosting model with coupled heat–mass transfer for predicting frost layer growth (2026) · cites this paper as [51]
In the citing paper
“In general, such models assume a quasi-static growth of the frost layer, invoke the Lewis analogy for the sake of mass transfer calculations, and rely on empirical information for the frost properties, particularly the frost density (Hermes et al., 2009).”
From Algebraic modeling and thermodynamic design of fan-supplied tube-fin evaporators running under frosting conditions (2014) · cites this paper as Hermes et al., 2009
In the citing paper
“In general, such models assume a quasi-static growth of the frost layer, invoke the Lewis analogy for the sake of mass transfer calculations, and rely on empirical information for the frost properties, particularly the frost density (Hermes et al., 2009).”
From Algebraic modeling and thermodynamic design of fan-supplied tube-fin evaporators running under frosting conditions (2014) · cites this paper as Hermes et al., 2009
In the citing paper
“In general, such models assume a quasi-static growth of the frost layer, invoke the Lewis analogy for the sake of mass transfer calculations, and rely on empirical information for the frost properties, particularly the frost density (Hermes et al., 2009).”
From Algebraic modeling and thermodynamic design of fan-supplied tube-fin evaporators running under frosting conditions (2014) · cites this paper as Hermes et al., 2009
In the citing paper
“A similar method was used for the measurement of real-time frost accumulation by Sengupta et al. [83], Hermes et al. [52], and Sommers et al. [126].”
From Review on the measurement and calculation of frost characteristics (2018) · cites this paper as [52]
In the citing paper
“Using these new experimental data obtained by Hermes et al. in 2009 [52], Kandula [54] proposed a more complete dimensionless density correlation, and took into account the wall temperature and the air velocity.”
From Review on the measurement and calculation of frost characteristics (2018) · cites this paper as [52]
In the citing paper
“Based on this correlation, they further introduced a third coefficient [52].”
From Review on the measurement and calculation of frost characteristics (2018) · cites this paper as [52]
In the citing paper
“considered in developing the correlation of average frost density. Their correlation also fitted well with their own experimental data.”
From Frosting mechanism and behaviors on surfaces with simple geometries: A state-of-the-art literature review (2022) · cites this paper as Hermes et al. [50]
In the citing paper
“Kandula [51] proposed another correlation of average frost density based on dimensionless analysis. The correlation was a function of dimensionless temperature based on frost and cold surface temperatures, and Reynolds number, and was determined from Hermes et al. ' s experimental data [50].”
From Frosting mechanism and behaviors on surfaces with simple geometries: A state-of-the-art literature review (2022) · cites this paper as Hermes et al. [50]
In the citing paper
“For water vapor density, its gradient inside the frost layer near the plate surface was significantly smaller than that near the frost surface [50,80,86,88,90,91].”
From Frosting mechanism and behaviors on surfaces with simple geometries: A state-of-the-art literature review (2022) · cites this paper as [50]
In the citing paper
“Hermes et al. [50], Benitez and Sherif [88], and You et al. [93] all presented a linear temperature distribution charac teristic.”
From Frosting mechanism and behaviors on surfaces with simple geometries: A state-of-the-art literature review (2022) · cites this paper as [50]
In the citing paper
“density was increased with an increase in air moisture content [50,54]”
From Frosting mechanism and behaviors on surfaces with simple geometries: A state-of-the-art literature review (2022) · cites this paper as [50]
In the citing paper
“In some studies, the average frost thickness was decreased with an increase in air temperature [50,54,61,80].”
From Frosting mechanism and behaviors on surfaces with simple geometries: A state-of-the-art literature review (2022) · cites this paper as [50]
Citations
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A one-dimensional model for frost formation on a cold flat surface
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A fundamental understanding of factors affecting frost nucleation
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- Yamakawa, 1972, Forced convection heat and mass transfer under frost condition, Heat Transfer Japanese Research, 1, 155
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“[12] developed a mathematical model which could accurately predict the frost thickness with a 10% discrepancy with experimental results.”
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“To determine the frost density, the correlation by [36] was used.”
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Metadata
- Authors
- Hermes, C. J. L., Piucco, R. O., Barbosa, J. R., & Melo, C.
- Affiliations
- Universidade Federal de Santa Catarina (BR)
- Corresponding author
- Hermes, Christian J.L.
- Venue
- Experimental Thermal and Fluid Science
- Publisher
- Elsevier BV
- Published
- 2009-01
- Volume
- 33
- Issue
- 2
- Pages
- 371-379
- ISSN
- 0894-1777 (ISSN-L)
- OpenAlex
- W2041674410
- Cited by
- 257
- References
- 12
- Citations by year
- 2026: 12 · 2025: 22 · 2024: 24 · 2023: 18 · 2022: 27 · 2021: 23 · 2020: 11 · 2019: 15 · 2018: 20 · 2017: 21 · 2016: 13 · 2015: 14 · 2014: 11 · 2013: 7 · 2012: 9
- FWCI
- 6.49
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- Experimental Thermal and Fluid Science (publishedVersion)
- Funders
- Financiadora de Estudos e Projetos
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Topics
- Physical Sciences › Engineering › Aerospace Engineering › Icing and De-icing Technologies
- Physical Sciences › Engineering › Mechanical Engineering › Refrigeration and Air Conditioning Technologies
- Physical Sciences › Engineering › Mechanical Engineering › Heat Transfer and Optimization
- Keywords
- frost growth, frost thickness, porous media, supersaturation, mass and energy balance, air humidity, air velocity, surface temperature
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