The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
Mass transfer on and within a frost layer
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Na et al. [44] employed an exponential function of the dimensionless vapor pressure ( p v/ p v,sat) to estimate the ice-crystal growth rate, limiting the deviation in mass-transfer rate to within 25%.”
From A physics-informed quasi-steady frosting model with coupled heat–mass transfer for predicting frost layer growth (2026) · cites this paper as Na et al. [44]
In the citing paper
“Based on the suggestion of Brèque and Nemer [3], the 0-D model by Na and Webb [13] is used to model the frost formation process due to its adequate precision and simplicity for system modeling.”
From Model for cyclic frosting and defrosting of flat tube heat exchangers: Theoretical analysis and experimental validation (2023) · cites this paper as Na and Webb [13]
In the citing paper
“Previous published models describe the effects of frosting of a dry heat exchanger, neglecting the effects of water retained after defrosting.”
From Model for cyclic frosting and defrosting of flat tube heat exchangers: Theoretical analysis and experimental validation (2023) · cites this paper as [13]
In the citing paper
“Also, Na and Webb provide a simple equation for the supersaturation degree at the frost surface that was that predicted their experimental data.”
From New model for frost growth rate (2004) · cites this paper as [15]
In the citing paper
“Na and Webb [15] showed that moderate uncertainty in the tortuosity factor has very small effect on the heat transfer rate through the frost layer and frost densification rate if one uses rational correlations for the mass diffusion prediction within the frost layer.”
From New model for frost growth rate (2004) · cites this paper as [15]
In the citing paper
“Na and Webb [13-15] have shown that the air is supersaturated at the frost surface, as opposed to the previous assumptions that the water vapor is saturated at the frost surface.”
From New model for frost growth rate (2004) · cites this paper as [15]
In the citing paper
“The densification rate is related to the water vapor diffusion rate within the frost layer, which is related to the tortuosity [15].”
From New model for frost growth rate (2004) · cites this paper as [15]
In the citing paper
“Na and Webb [15] showed that the assumption of the saturation at the frost surface overpredicts the mass transfer rate by the factor of 4-30 in their test range.”
From New model for frost growth rate (2004) · cites this paper as [15]
In the citing paper
“which is physically impossible as discussed in [15].”
From New model for frost growth rate (2004) · cites this paper as [15]
In the citing paper
“The over prediction of the saturation model is because it overpredicts the mass transfer rate from the air stream to the frost surface as discussed in [15].”
From New model for frost growth rate (2004) · cites this paper as [15]
In the citing paper
“The model assumed that the humid air was saturated at the frost surface, while Webb and coworker [7,12] assumed that the humid air was supersaturated at the frost surface.”
From Numerical Simulation of Frosting on Fin-and-Tube Heat Exchanger Surfaces (2017) · cites this paper as [12]
Citations
Cites
Fletcher, N. H. (1970) · Cambridge University Press eBooks · doi:10.1017/cbo9780511735639 · Cited by 827
Diffusion in Gases and Porous Media
Cunningham, R. E., & Williams, R. J. J. (1980) · Springer eBooks · doi:10.1007/978-1-4757-4983-0 · Cited by 441
A one-dimensional model for frost formation on a cold flat surface
Lee, K.-S., Kim, W.-S., & Lee, T.-H. (1997) · International Journal of Heat and Mass Transfer · doi:10.1016/s0017-9310(97)00074-4 · Cited by 296
Neale, G. H., & Nader, W. K. (1973) · AIChE Journal · doi:10.1002/aic.690190116 · Cited by 238
A fundamental understanding of factors affecting frost nucleation
Na, B., & Webb, R. L. (2003) · International Journal of Heat and Mass Transfer · doi:10.1016/s0017-9310(03)00194-7 · Cited by 225
Self-citationNew model for frost growth rate
Na, B., & Webb, R. L. (2004) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2003.09.001 · Cited by 212
Self-citationA mathematical model for predicting the densification and growth of frost on a flat plate
Tao, Y.-X., Besant, R. W., & Rezkallah, K. S. (1993) · International Journal of Heat and Mass Transfer · doi:10.1016/0017-9310(93)80011-i · Cited by 183
Frost formation with varying environmental parameters
Jones, B. W., & Parker, J. D. (1975) · Journal of Heat Transfer · doi:10.1115/1.3450350 · Cited by 171
Modelling of frost growth and densification
Le Gall, R., Grillot, J. M., & Jallut, C. (1997) · International Journal of Heat and Mass Transfer · doi:10.1016/s0017-9310(96)00359-6 · Cited by 153
Equation of the growth rate of frost forming on cooled surfaces
Schneider, H. W. (1978) · International Journal of Heat and Mass Transfer · doi:10.1016/0017-9310(78)90098-4 · Cited by 148
Frost deposition on cold surfaces
Brian, P. L. T., Reid, R. C., & Shah, Y. T. (1970) · Industrial & Engineering Chemistry Fundamentals · doi:10.1021/i160035a013 · Cited by 142
(1974) · Cited by 107
(1989) · ASHRAE winter conference papers · Cited by 69
Study on Properties and Growth Rate of Frost Layers on Cold Surfaces
Tokura, I., Saito, H., & Kishinami, K. (1983) · ASME Journal of Heat and Mass Transfer · doi:10.1115/1.3245679 · Cited by 50
Heat and Mass Transfer to a Cryosurface in Free Convection
Barron, R. F., & Han, L. S. (1965) · Journal of Heat Transfer · doi:10.1115/1.3689144 · Cited by 37
Research works printed but not linked: 3
- Brian, 1969, Cryogenic frost properties, Cryog. Technol., 5, 205
- Mao, 1999, Frost characteristics and heat transfer on a flat plate under freezer operating conditions, ASHRAE Trans., 231
- B. Na, Analysis of Frost Formation on an Evaporator, Ph.D. thesis, The Pennsylvania State University, 2003
Cited by
Sorted by citations
Surface engineering for phase change heat transfer: A review
Attinger, D., Frankiewicz, C., Betz, A. R., Schutzius, T., Ganguly, R., Das, A., Kim, C.-J. C. J., & Megaridis, C. (2014) · MRS Energy & Sustainability · doi:10.1557/mre.2014.9 · Cited by 404
A study of frost growth and densification on flat surfaces
Hermes, C. J. L., Piucco, R. O., Barbosa, J. R., & Melo, C. (2009) · Experimental Thermal and Fluid Science · doi:10.1016/j.expthermflusci.2008.10.006 · Cited by 257
Surface engineering for phase change heat transfer: A review
Attinger, D., Frankiewicz, C., Betz, A. R., Schutzius, T. M., Ganguly, R., Das, A., Kim, C., & Megaridis, C. M. (2014) · reroDoc Digital Library · Cited by 227
A Review of Condensation Frosting
Nath, S., Ahmadi, S. F., & Boreyko, J. B. (2016) · Nanoscale and Microscale Thermophysical Engineering · doi:10.1080/15567265.2016.1256007 · Cited by 216
New model for frost growth rate
Na, B., & Webb, R. L. (2004) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2003.09.001 · Cited by 212
Self-citation
Metadata
- Authors
- Na, B., & Webb, R. L.
- Affiliations
- Pennsylvania State University (US)
- Corresponding author
- Webb, Ralph L.
- Venue
- International Journal of Heat and Mass Transfer
- Publisher
- Elsevier BV
- Published
- 2004-02
- Volume
- 47
- Issue
- 5
- Pages
- 899-911
- ISSN
- 0017-9310 (ISSN-L)
- OpenAlex
- W2082230330
- Cited by
- 129
- References
- 15
- Citations by year
- 2026: 12 · 2025: 5 · 2024: 3 · 2023: 6 · 2022: 8 · 2021: 11 · 2020: 2 · 2019: 2 · 2018: 7 · 2017: 9 · 2016: 8 · 2015: 4 · 2014: 11 · 2013: 4 · 2012: 8
- FWCI
- 5.27
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- International Journal of Heat and Mass Transfer (publishedVersion)
- 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 layer, frost formation, frost growth, surface supersaturation, concentration boundary layer, tortuosity factor, mass diffusion
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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