Aerodynamic Drag and Heat Transfer Corrections for Dehydrated Pollen Particles: CFD-Based Modeling of Airborne Allergen Transport in Smart Urban Environments

Mahmoud Khaled; Omar Hamad; Samer Ali; Talib Dbouk

REVIEW 3 major objections 5 minor 15 references

Aerodynamic Drag and Heat Transfer Corrections for Dehydrated Pollen Particles: CFD-Based Modeling of Airborne Allergen Transport in Smart Urban Environments

T0 review · 3 major / 5 minor · reviewed 2026-08-04 · deepseek-v4-flash

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Pith's one-line read Dehydrated birch pollen grains experience 8–15% higher aerodynamic drag and 5–14% lower heat transfer than smooth spheres of the same surface area, according to morphology-resolved CFD simulations.

desk verdict Useful first CFD look at dry pollen morphology, but the headline drag/Nu ranges are inflated because they compare against textbook correlations instead of the authors' own sphere baseline. read the letter →

arxiv 2608.02360 v1 pith:BFGO4E66 submitted 2026-08-03 physics.flu-dyn physics.comp-ph

Omar Hamad , Samer Ali , Mahmoud Khaled , Talib Dbouk This is my paper · ORCID

classification physics.flu-dynphysics.comp-ph PACS 47.11.-j47.55.Kf

keywords pollentransportdehydrateddragcoefficientNusseltnumberparticlemorphologyCFDsimulationurbanairqualityLagrangiandispersion

verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper tries to establish that dehydrated birch pollen cannot be modeled as smooth spherical particles in urban air-dispersion simulations. Using a three-dimensional reconstruction of a dry, wrinkled birch pollen grain, the authors run fluid and heat-transfer simulations at particle Reynolds numbers 0.1 to 15, corresponding to wind speeds 0.27 to 30 km/h. They find dry pollen experiences 8–15% more aerodynamic drag and 5–14% less convective heat transfer than an equal-surface-area smooth sphere. If these numbers hold, existing spherical drag and evaporation models understate flow resistance and overstate drying for dry pollen, which would change predicted allergen travel distances and exposure maps.

What carries the argument

The load-bearing object is a 3D digital reconstruction of a dehydrated birch pollen grain, built from SEM imagery so that the surface area is preserved (within 0.01%) while the volume collapses as it does in nature. The analysis uses the surface-area-equivalent diameter — the diameter of a sphere with the same surface area as the wrinkled grain — as the single characteristic length when computing drag coefficient and Nusselt number. Around this static geometry, a steady, compressible, laminar finite-volume CFD solver resolves the velocity and temperature boundary layers, and the integrated surface forces and heat fluxes are compared with the classical Schiller–Naumann and Ranz–Marshall corre

What would settle it

Orient the same 3D grain at several angles to the free stream and recompute drag coefficient and Nusselt number; a variation that exceeds or reverses the 8–15% / 5–14% bands would show the claim is orientation-specific. A physical check would be to measure the terminal velocity and drying rate of isolated dry birch pollen in a settling column and compare them with the predicted morphology-resolved values.

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Extended reading notes

Core claim

Using a high-fidelity three-dimensional reconstruction of a dehydrated silver-birch (Betula pendula) pollen grain that preserves the real wrinkled, collapsed outer shell, this paper solves the laminar compressible Navier–Stokes and energy equations around the static particle for particle Reynolds numbers 0.1 to 15. The central discovery is that the dry grain's drag coefficient exceeds the Schiller–Naumann sphere correlation by 8–15% across this range, while its Nusselt number falls 5–14% below the Ranz–Marshall correlation, both referenced to a sphere with the same surface-area-equivalent diameter. The morphology also generates lift and side forces that a symmetric sphere cannot, with lift r

Load-bearing premise

The reported drag and heat-transfer corrections are computed from one reconstructed dry pollen grain held in one fixed orientation; if orientations and dehydration states vary enough, the 8–15% and 5–14% deviations may not hold in real tumbling, evaporating pollen.

Editorial extensions

If this is right

Urban allergy-risk models that use spherical drag will under-predict the wind resistance on dry pollen by 8–15%, meaning predicted dispersal distances will be too large.
Evaporation models that use the Ranz–Marshall correlation predict water loss 5–14% faster than the wrinkled grain actually loses heat and water, so pollen would appear to dry out sooner than it does.
The wrinkled grain generates lift and side forces that a sphere cannot; at the high end of the range, lift reaches about 5% of drag, altering drift and settling paths in boundary layers.
The deviations persist across the whole atmospheric-wind range studied, so corrections are needed at common urban wind speeds, not only at extremes.
Direct CFD corrections for realistic dry pollen shapes give a physical basis for improving Lagrangian particle-tracking in smart-city air-quality frameworks.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

Since real airborne pollen tumbles in turbulent air, the static-orientation result likely brackets rather than pins down the true average; orientation-averaged drag and heat-transfer coefficients would be a natural testable extension.
Lower Nusselt numbers imply slower drying, and slower drying preserves the particle's mass, which feeds back into settling speed; coupling humidity-dependent shape change with transport could produce longer allergen residence times than either effect alone.
The same morphology-resolved approach transfers to other corrugated or collapsing bioaerosols (other pollens, spores, dried droplets), where spherical assumptions may also fail.
A simple engineering fix for existing models would be a shape-correction factor on drag and Nusselt number written as a function of a deformation parameter such as the surface-area-to-volume ratio, which the present data could calibrate.

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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Desk Editor's Note

read the letter

Two things to know before you read it. The qualitative result is plausible: a dehydrated birch pollen grain with a wrinkled surface does see more drag and less heat transfer than a smooth sphere over Re 0.1–15. The quantitative claims in the abstract are inflated, though. The 8–15% and 5–15% deviations come from comparing the pollen CFD to Schiller–Naumann and Ranz–Marshall correlations, not to the authors' own CFD sphere. Their validation tables show the CFD sphere runs 2–7% off those same correlations; correcting for that baseline, the morphology-only effect is smaller and at some Reynolds numbers the Nusselt-number penalty nearly vanishes.

What is actually new: this is the first morphology-resolved CFD of dehydrated pollen, with a careful SEM-based reconstruction, a GCI mesh convergence study, and a nice set of lateral force ratios. The physical story — air stagnates in the surface valleys, creating a thermal shield and adding form drag — is convincing and consistent with the field plots. Those parts are solid.

Soft spots, in order. (1) The baseline problem above is the main issue; it changes the headline numbers. The paper's own validation data make this easy to fix, so it is not a deep structural flaw. (2) The geometry is one reconstructed grain at one orientation. The conclusion explicitly defers orientation studies to a future paper, yet the abstract speaks generally about dry pollen. That is an overreach. (3) No STL or raw data are released, only 'available on request.' (4) Production runs used the coarse mesh; the GCI flags 2.7–3.8% uncertainty, which is fine, but the fine mesh would have been safer for the headline claims. None of these kill the qualitative finding, but each reduces confidence in the exact percentages.

Who should read it: anyone doing CFD on non-spherical particles or pollen transport, and anyone who wants a compact example of why validation tables should be used as the baseline, not textbook correlations. It deserves a serious referee — the question is real, the setup is mostly sound, and the fix is straightforward. I would send it out with a request for a same-baseline comparison and orientation sensitivity, not desk-reject it.

Referee Report

3 major / 5 minor

Summary. The paper presents steady, laminar CFD simulations (OpenFOAM, rhoSimpleFoam) of a single reconstructed dehydrated birch-pollen grain at particle Reynolds numbers 0.1–15. Drag coefficient, Nusselt number, and lateral/lift force ratios are computed and compared against the Schiller–Naumann and Ranz–Marshall correlations. The central claim is that the realistic wrinkled dry-pollen morphology raises Cd by 8–15% and lowers Nu by 5–14% relative to a surface-area-equivalent smooth sphere, implying that standard spherical correlations underestimate pollen drag and overestimate evaporation in Lagrangian dispersion models. The paper includes a sphere-validation study and a Richardson-extrapolation/GCI mesh-convergence analysis.

Significance. If the quantitative claim is correct, the work provides a physically motivated correction to conventional spherical drag/heat-transfer models used in pollen-transport and allergen-risk simulations. The study is commendable for using a realistic publicly sourced morphological reconstruction, validating the solver against canonical correlations, and reporting GCI-based discretization uncertainty; these are positive features. The central result, however, hinges on the choice of baseline and on the representativeness of a single static geometry. The manuscript's own validation data indicate that the reported 8–15% and 5–14% ranges cannot be attributed solely to morphology without a same-baseline comparison, and the conclusion acknowledges that orientation dependence is deferred. The paper is therefore a useful proof-of-concept but needs substantial revision before the quantitative claims can be accepted.

major comments (3)

[§4, Figs. 3–4; §3.2, Tables 1–2] The reported deviations are computed relative to the Schiller–Naumann and Ranz–Marshall correlations, not relative to the paper's own CFD-computed sphere. The validation tables show that the CFD sphere already deviates from those correlations: Cd is +4.86% at Re=1 and +1.88% at Re=10; Nu is −6.88% at Re=5 and −6.49% at Re=10. Re-expressing the dry-pollen deviations against the CFD sphere changes the numbers materially. For example, at Re=5, Nu being 5–14% below Ranz–Marshall corresponds to roughly −7.7% to +2.0% relative to the CFD sphere; at Re=10 it corresponds to about −8.0% to +1.6%. The morphology-only heat-transfer penalty may therefore be much smaller or even non-existent in parts of the range. Similarly, the drag penalty relative to the CFD sphere is smaller than 8–15% at low Re (about +3% to +10% at Re=1). The abstract and conclusions overstate the morphology effect by conflatin
[§3.3 and Conclusion] The computations use a single reconstructed dehydrated grain in a single fixed orientation. The conclusion states: 'In another research paper, a focus will be given to ... taking into account the angle of rotation.' That statement concedes the missing orientation dependence. Real airborne pollen tumbles, and a single orientation is not sufficient to support the generalized phrasing 'dry pollen particles exhibit drag coefficients 8% to 15% higher... Nusselt numbers 5% to 15% lower.' No grain-to-grain variability is considered either. To support transport-model corrections, either provide an orientation-averaged result (e.g., by sampling several angles) or explicitly restrict the conclusions to the specific orientation studied. As written, the central quantitative claim is not robust to the acknowledged missing parameter.
[§3.4, Tables 3–4] The production simulations use the coarse mesh M3, for which GCI is 3.8% for drag and 3.6% for heat transfer. When the morphological effect is isolated against the CFD sphere, some of the computed changes are comparable to this uncertainty: e.g., the Nu change at Re=5–10 relative to the CFD sphere is about −8% to +2%, with a GCI of 3.6%. The reported morphological trend may therefore be partly an artifact of insufficient mesh resolution. Please report results on the fine or medium mesh, or at least provide confidence intervals that combine baseline error and GCI uncertainty when presenting the percentage ranges.

minor comments (5)

[Abstract] The 'Abstract' heading appears twice at the beginning of the document.
[Table 2 caption] The caption says 'Percentage errors relative to the present CFD are shown below,' but the values appear to be (CFD − literature)/literature. Please correct the caption or clarify the sign convention.
[Throughout] There are numerous typographical errors, e.g., 'Newton;s', 'manual computations is out of the question', and garbled text in the title area. A careful language edit is needed.
[Eqs. (11) and (16)] The drag coefficient is defined twice with identical content. Consider consolidating the definitions to avoid redundancy.
[Fig. 7 and §4.1] The displacement-error illustration is for a water droplet, not for the pollen morphology studied. The transfer of that 5%-Cd-to-14.8%-displacement relationship to pollen should be justified or clearly labeled as a generic illustrative example.

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity: the drag and Nusselt deviations are computed by solving the Navier–Stokes/energy equations on a fixed morphology and compared against independent literature correlations; no fitted parameter or self-citation is used to force the result.

full rationale

The derivation chain is: (1) reconstruct a dehydrated birch pollen STL from SEM/PalDat images; (2) solve steady laminar compressible Navier–Stokes and energy equations in OpenFOAM around that fixed geometry; (3) extract Cd and Nu via Eqs. (11)-(12) and (15)-(16); (4) compare with Schiller–Naumann and Ranz–Marshall correlations in Figs. 3-4. The 8-15% higher Cd and 5-14% lower Nu are outputs of the simulation, not inputs. No parameter is fitted to the target quantities, no target quantity appears in the governing equations, and no load-bearing claim rests on a self-citation. The self-citations ([1],[5]-[7]) are motivational context only. The validation against Clift et al. and Ranz–Marshall (Tables 1-2) is genuine external benchmarking; the fact that the CFD sphere itself deviates 2-7% from those correlations points to a possible baseline-error interpretation of the percentage deviations, but that is a scientific/validity concern about the chosen reference, not circular reasoning, because the reference is an independent empirical correlation and not constructed from the result. The paper also explicitly acknowledges that orientation dependence is deferred to future work ('In another research paper, a focus will be given to ... taking into account the angle of rotation'), which limits generalizability but again does not make the calculation circular. Therefore no circular step can be exhibited under the required standard.

Assumptions & free parameters 0 free parameters · 5 assumptions · 0 invented entities

No numbers are fitted to data: Cd, Nu, and force ratios are direct CFD outputs. The central claim rests on modeling assumptions, listed above, about continuum flow, steady laminar conditions, the representativeness of the reconstructed geometry, and the neglect of particle rotation.

assumptions (5)

domain assumption Continuum hypothesis and no-slip wall condition are valid at Kn≈10^-3
Section 2.1 justifies Navier-Stokes at particle scale; if Kn were larger, slip corrections would alter drag.
domain assumption Steady, laminar flow with no turbulence closure (mu_t=0) is adequate for Re_p ≤ 15
Section 2.1; steady solver rhoSimpleFoam is used, and unsteady vortex shedding is unlikely at these low Reynolds numbers.
ad hoc to paper The reconstructed dry pollen geometry, produced by reducing volume while preserving surface area from one PalDat SEM image, is representative of real dehydrated pollen
Section 3.3; no sensitivity analysis over grains or deformation states; the central numbers depend on this shape.
ad hoc to paper The particle is held fixed in a single orientation relative to the free stream; tumbling/rotation is neglected
Section 3.4 boundary conditions and the conclusion defer angle-of-rotation to future work; drag and Nusselt number of irregular particles are orientation-dependent.
domain assumption Thermophysical properties of air (Pr=0.71, nu=1.51e-5 m^2/s) and ideal-gas density variation are appropriate for 20–60 °C
Section 2.2; standard for air heat transfer at these temperatures.

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Cite this review

Pith. "Pith review of Aerodynamic Drag and Heat Transfer Corrections for Dehydrated Pollen Particles: CFD-Based Modeling of Airborne Allergen Transport in Smart Urban Environments." pith.science (2026). https://pith.science/paper/BFGO4E66

@misc{pith2026260802360,
  author       = {Pith},
  title        = {Pith review of: Aerodynamic Drag and Heat Transfer Corrections for Dehydrated Pollen Particles: CFD-Based Modeling of Airborne Allergen Transport in Smart Urban Environments},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/BFGO4E66}},
  note         = {Machine review of arXiv:2608.02360}
}

abstract

Airborne pollen transport is a key concern for urban air-quality assessment, allergy-risk forecasting, and smart-city planning. However, conventional dispersion models generally assume smooth spherical particles, neglecting how pollen dehydration alters particle morphology and impacts aerodynamic and thermal behavior. To address this gap, this study presents, for the first time, advanced CFD simulations evaluating the aerodynamic drag forces and convective heat transfer of realistically dehydrated (dry) pollen particles. Investigations are conducted at Reynolds numbers ($0.1 \leq Re_p \leq 15$) at the particle's scale corresponding to realistic atmospheric wind speeds ranging from 0.27 to 30 km/h. The findings reveal that dry pollen particles exhibit drag coefficients 8% to 15% higher than those predicted for hydrated pollen spherical particles. Conversely, their Nusselt numbers are 5% to 15% lower than those for hydrated pollen particles. These considerable deviations confirm that conventional spherical correlations are inadequate for simulating dry pollen Lagrangian transport and evaporation. These findings highlight the need to account for realistic dehydrated shapes when modeling airborne allergen transport in urban environments.

Figures

Figures reproduced from arXiv: 2608.02360 by the authors.

**Figure 2.** 3D morphological reconstruction of silver birch ( [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗

**Figure 3.** CFD simulation results for the drag coefficient (C [PITH_FULL_IMAGE:figures/full_fig_p009_3.png] view at source ↗

Figures from the paper (4 more)

**Figure 4.** Figure 4: CFD simulation results for the Nusselt number of a dry pollen irregular particle as function of the [PITH_FULL_IMAGE:figures/full_fig_p010_4.png]

**Figure 5.** Figure 5: CFD simulation results at a near-surface fluid layer close to the pollen particle’s surface. (a) dimension [PITH_FULL_IMAGE:figures/full_fig_p011_5.png]

**Figure 6.** Figure 6: Comparison of the lateral-to-streamwise force ratios ( [PITH_FULL_IMAGE:figures/full_fig_p012_6.png]

**Figure 7.** Figure 7: This figure illustrates the position of a 20 micrometer water droplet after 400 seconds employing Euler [PITH_FULL_IMAGE:figures/full_fig_p013_7.png]

Discussion (0). Continue with ORCID to comment.

Reference graph

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Pith tools

Reviewed August 4, 2026 · model on record in the stance chip above.

[1] [1]

Flow and plants.Physics of Fluids, 36(11):110402, 11 2024

Talib Dbouk and Dimitris Drikakis. Flow and plants.Physics of Fluids, 36(11):110402, 11 2024. ISSN 1070-6631. doi: 10.1063/5.0244727. URLhttps://doi.org/10.1063/5.0244727

work page doi:10.1063/5.0244727 2024

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Schiller and A

L. Schiller and A. Naumann. Über die grundlegenden Berechnungen bei der Schwerkraftaufbereitung. Zeitschrift des Vereines Deutscher Ingenieure, 77:318–321, 1933. URLhttps://cir.nii.ac.jp/crid/ 1570854176037493120

1933

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RANZ W. E. Evaporation from drops-i and-ii.Chem. Eng. Progr., 48:141–146,173–180, 1952. URL https://cir.nii.ac.jp/crid/1570009749314758656

arXiv 1952

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Clift, J

R. Clift, J. R. Grace, and M. E. Weber.Bubbles, Drops, and Particles. Dover Civil and Mechanical En- gineering Series. Academic Press, 1978. ISBN 0-12-176950-X. URLhttps://archive.org/details/ bubblesdropspart0000clif

1978

[5] [5]

On pollen and airborne virus transmission.Physics of Fluids, 33(6): 063313, 06 2021

Talib Dbouk and Dimitris Drikakis. On pollen and airborne virus transmission.Physics of Fluids, 33(6): 063313, 06 2021. doi: 10.1063/5.0055845. URLhttps://doi.org/10.1063/5.0055845

doi:10.1063/5.0055845 2021

[6] [6]

Risk assessment of pollen allergy in urban environments.Scientific Reports, 12(1):21076, 2022

Talib Dbouk, Nicolas Visez, Samer Ali, Isam Shahrour, and Dimitris Drikakis. Risk assessment of pollen allergy in urban environments.Scientific Reports, 12(1):21076, 2022. doi: 10.1038/s41598-022-24819-w. URLhttps://doi.org/10.1038/s41598-022-24819-w

work page doi:10.1038/s41598-022-24819-w 2022

[7] [7]

Flow and plants: On the dispersion of wind-induced tree pollen.Physics of Fluids, 38(3):037111, 03 2026

Talib Dbouk, Nicolas Visez, Prosun Roy, Abdkarim Djama, Emilien Varea, Romain Champion, Alexandre Geffroy, Béatrice Patte-Rouland, and Julien Reveillon. Flow and plants: On the dispersion of wind-induced tree pollen.Physics of Fluids, 38(3):037111, 03 2026. ISSN 1070-6631. doi: 10.1063/5.0317027. URL https://doi.org/10.1063/5.0317027

work page doi:10.1063/5.0317027 2026

[8] [8]

On the effect of the internal friction of fluids on the motion of pendulums.Transac- tions of the Cambridge Philosophical Society, 9:8–106, 1851

George Gabriel Stokes. On the effect of the internal friction of fluids on the motion of pendulums.Transac- tions of the Cambridge Philosophical Society, 9:8–106, 1851