From Propulsion to Suction: Unraveling Thrust Reversal in Propellers at Intermediate Reynolds Numbers
Pith reviewed 2026-06-25 20:55 UTC · model grok-4.3
The pith
Clockwise propeller rotation leads to backward motion at intermediate Reynolds numbers when centrifugal suction dominates.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
Experiments on a propeller-driven underwater vehicle and numerical simulations reveal thrust reversal--a phenomenon where clockwise propeller rotation leads to backward motion--in the approximate range 1.3 < Re < 150 under specific conditions. Notably, counterclockwise rotation consistently results in backward motion. Simulations reveal that this behavior arises when centrifugal suction, an inward force along the axis caused by radial outward flow from the propeller's rotation, dominates over fluid backward acceleration, the primary thrust mechanism at high Re.
What carries the argument
Centrifugal suction: an inward axial force generated by radial outward flow due to propeller rotation, which can overpower the normal fluid acceleration that produces thrust at higher Reynolds numbers.
If this is right
- Miniature aquatic robots may move opposite to the expected direction at low to intermediate speeds with clockwise rotation.
- Thrust direction depends on rotation sense differently than at high Reynolds numbers, with counterclockwise always producing backward motion.
- The transition between propulsion and suction depends on the balance between centrifugal suction and fluid acceleration.
- These insights inform the design of efficient propulsion systems for miniature aquatic robots.
Where Pith is reading between the lines
- Varying rotation speed could allow switching between propulsion and suction modes for robot maneuvering.
- Similar reversal effects might appear in other low-Re rotating devices such as micro-pumps or fans.
- Mapping the exact Re boundaries with different blade pitches or diameters would test how general the suction dominance is.
Load-bearing premise
The simulations correctly identify centrifugal suction as the dominant mechanism and that the experimental conditions match the simulated regime without omitting key viscous or boundary effects.
What would settle it
Direct measurement of net axial force or observed vehicle direction for clockwise rotation at Re around 50 under the simulated conditions would confirm whether suction produces backward motion.
read the original abstract
This study investigates propeller hydrodynamics at intermediate Reynolds numbers (Re), crucial for small-scale robotic systems but still uncharted. Experiments on a propeller-driven underwater vehicle and numerical simulations reveal thrust reversal--a phenomenon where clockwise propeller rotation leads to backward motion--in the approximate range 1.3 < Re < 150 under specific conditions. Notably, counterclockwise rotation consistently results in backward motion. Simulations reveal that this behavior arises when centrifugal suction, an inward force along the axis caused by radial outward flow from the propeller's rotation, dominates over fluid backward acceleration, the primary thrust mechanism at high Re. These findings provide critical insights into the unique dynamics of the intermediate Re regime and inform the design of efficient propulsion systems for miniature aquatic robots.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript reports experimental and numerical results on propeller-driven underwater vehicle propulsion at intermediate Reynolds numbers. It claims that clockwise rotation produces thrust reversal (backward motion) for 1.3 < Re < 150 under specific conditions, while counterclockwise rotation always yields backward motion. Simulations identify the reversal as arising when centrifugal suction (inward axial force from radial outflow) overtakes the usual backward fluid acceleration that dominates at high Re.
Significance. If the mechanism identification holds, the work addresses an uncharted regime relevant to miniature aquatic robots, where conventional high-Re propeller models fail. The combination of vehicle experiments and targeted simulations supplies a concrete physical explanation (centrifugal suction versus axial momentum flux) that can guide design choices at these scales.
minor comments (3)
- [Abstract, §3] Abstract and §3: the phrase 'under specific conditions' for the reversal range is vague; state the precise geometric or kinematic parameters (e.g., advance ratio, blade pitch) that delineate the reversal window.
- [§4.2, Fig. 7] §4.2 and Fig. 7: the force decomposition into centrifugal suction and backward acceleration should include a quantitative breakdown (e.g., integrated pressure and viscous contributions on the blade surfaces) rather than qualitative streamlines alone.
- [Methods] Methods: mesh convergence and time-step independence are not shown; add a brief table or statement confirming that the reported force coefficients change by <5 % under refinement.
Simulated Author's Rebuttal
We thank the referee for their positive assessment of the work and the recommendation for minor revision. The report contains no enumerated major comments, so we provide no point-by-point responses below.
Circularity Check
No significant circularity identified
full rationale
The paper reports experimental observations of thrust reversal in a specific Re range and attributes the mechanism to centrifugal suction (from radial outflow) overpowering backward fluid acceleration, based on numerical simulations. No equations, fitted parameters, or derivation steps appear in the abstract or described structure. The central claim rests on direct comparison of simulation outputs to experiment rather than any self-definitional reduction, fitted-input prediction, or load-bearing self-citation chain. The argument is therefore self-contained against external benchmarks with no internal reduction of outputs to inputs by construction.
Axiom & Free-Parameter Ledger
Reference graph
Works this paper leans on
-
[1]
Balaram, et al., Mars Helicopter Technology Demonstrator in 2018 AIAA Atmospheric Flight Mechanics Conference, (American Institute of Aeronautics and Astronautics, 2018)
B. Balaram, et al., Mars Helicopter Technology Demonstrator in 2018 AIAA Atmospheric Flight Mechanics Conference, (American Institute of Aeronautics and Astronautics, 2018)
2018
-
[2]
J. P. Panda, A. Mitra, H. V. Warrior, A review on the hydrodynamic characteristics of autonomous underwater vehicles. Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment 235, 15–29 (2021). ·11
2021
-
[3]
Q. R. Wald, The aerodynamics of propellers. Progress in Aerospace Sciences 42, 85–128 (2006)
2006
-
[4]
Carlton, Marine propellers and propulsion (Butterworth-Heinemann, 2018)
J. Carlton, Marine propellers and propulsion (Butterworth-Heinemann, 2018)
2018
-
[5]
R. R. Bennett, et al., Species-dependent hydrodynamics of flagellum-tethered bacteria in early biofilm development. Journal of The Royal Society Interface 13, 20150966 (2016)
2016
-
[6]
S. E. Spagnolie, E. Lauga, Comparative Hydrodynamics of Bacterial Polymorphism. Physical Review Letters 106, 058103 (2011)
2011
-
[7]
H. C. Berg, R. A. Anderson, Bacteria Swim by Rotating their Flagellar Filaments. Nature 245, 380–382 (1973)
1973
-
[8]
R. C. Johnson, F. W. Hyde, C. M. Rumpel, Taxonomy of the Lyme disease spirochetes. The Yale Journal of Biology and Medicine 57, 529–537 (1984)
1984
-
[9]
Lauga, Bacterial Hydrodynamics
E. Lauga, Bacterial Hydrodynamics. Annual Review of Fluid Mechanics 48, 105–130 (2016)
2016
-
[10]
Lauga, T
E. Lauga, T. R. Powers, The hydrodynamics of swimming microorganisms. Reports on Progress in Physics 72, 096601 (2009)
2009
-
[11]
M. Urso, M. Ussia, M. Pumera, Smart micro-and nanorobots for water purification. Nature Reviews Bioengineering 1, 236–251 (2023)
2023
-
[12]
Tang, et al., A pipeline inspection robot for navigating tubular environments in the sub- centimeter scale
C. Tang, et al., A pipeline inspection robot for navigating tubular environments in the sub- centimeter scale. Science Robotics 7, eabm8597 (2022)
2022
-
[13]
Yaguchi, T
H. Yaguchi, T. Izumikawa, Wireless in-piping actuator capable of high-speed locomotion by a new motion principle. IEEE/ASME Transactions on Mechatronics 18, 1367–1376 (2012)
2012
-
[14]
Hong, et al., Wireless flow-powered miniature robot capable of traversing tubular structures
C. Hong, et al., Wireless flow-powered miniature robot capable of traversing tubular structures. Science Robotics 9, eadi5155 (2024)
2024
-
[15]
Bernasconi, et al., Magnetically navigable 3D printed multifunctional microdevices for environmental applications
R. Bernasconi, et al., Magnetically navigable 3D printed multifunctional microdevices for environmental applications. Additive Manufacturing 28, 127–135 (2019)
2019
-
[16]
Zhou, et al., Motion control of magnetic-controlled spiral microrobots for in-vitro plaque removal
X. Zhou, et al., Motion control of magnetic-controlled spiral microrobots for in-vitro plaque removal. IEEE Robotics and Automation Letters 9, 5671–5678 (2024)
2024
-
[17]
I. S. Khalil, et al., Magnetic localization and control of helical robots for clearing superficial blood clots. APL Bioengineering 3 (2019)
2019
-
[18]
Fusco, et al., Microrobots: a new era in ocular drug delivery
S. Fusco, et al., Microrobots: a new era in ocular drug delivery. Expert Opinion on Drug Delivery 11, 1815–1826 (2014). ·12
2014
-
[19]
Khabbazian, M
A. Khabbazian, M. B. Khamesee, V. Magdanz, Magnetic Actuation of Small-Scale Soft Robots in 2024 International Conference on Manipulation, Automation and Robotics at Small Scales (MARSS), (IEEE, 2024), pp. 1–6
2024
-
[20]
Ze, et al., Spinning-enabled wireless amphibious origami millirobot
Q. Ze, et al., Spinning-enabled wireless amphibious origami millirobot. Nature Communications 13, 3118 (2022)
2022
-
[21]
Ren, et al., Oral administration microrobots for drug delivery
A. Ren, et al., Oral administration microrobots for drug delivery. Bioactive Materials 39, 163–190 (2024)
2024
-
[22]
Chen, et al., Controlled flight of a microrobot powered by soft artificial muscles
Y. Chen, et al., Controlled flight of a microrobot powered by soft artificial muscles. Nature 575, 324–329 (2019)
2019
-
[23]
Lee, et al., Liftoff of a soft-actuated micro-aerial-robot powered by triboelectric nanogenerators
Y. Lee, et al., Liftoff of a soft-actuated micro-aerial-robot powered by triboelectric nanogenerators. Nano Energy 126, 109602 (2024)
2024
-
[24]
S. E. Farisenkov, et al., Novel flight style and light wings boost flight performance of tiny beetles. Nature 602, 96–100 (2022)
2022
-
[25]
Engels, D
T. Engels, D. Kolomenskiy, F.-O. Lehmann, Flight efficiency is a key to diverse wing morphologies in small insects. Journal of the Royal Society Interface 18, 20210518 (2021)
2021
-
[26]
M. H. Dickinson, F.-O. Lehmann, S. P. Sane, Wing Rotation and the Aerodynamic Basis of Insect Flight. Science 284, 1954–1960 (1999)
1954
-
[27]
H. Luo, H. Dai, P. J. F. de Sousa, B. Yin, On the numerical oscillation of the direct-forcing immersed-boundary method for moving boundaries. Computers & Fluids 56, 61–76 (2012)
2012
-
[28]
M. J. McHenry, E. Azizi, J. A. Strother, The hydrodynamics of locomotion at intermediate Reynolds numbers: undulatory swimming in ascidian larvae (Botrylloides sp.). Journal of Experimental Biology 206, 327–343 (2003)
2003
-
[29]
Weihs, Energetic significance of changes in swimming modes during growth of larval anchovy, Engraulis mordax
D. Weihs, Energetic significance of changes in swimming modes during growth of larval anchovy, Engraulis mordax. Fishery Bulletin 77, 597–604 (1980)
1980
-
[30]
L. A. Fuiman, R. S. Batty, What a drag it is getting cold: partitioning the physical and physiological effects of temperature on fish swimming. Journal of Experimental Biology 200, 1745–1755 (1997)
1997
-
[31]
V. Ngo, M. J. McHenry, The hydrodynamics of swimming at intermediate Reynolds numbers in the water boatman (Corixidae). Journal of Experimental Biology 217, 2740– 2751 (2014)
2014
-
[32]
Herrera-Amaya, M
A. Herrera-Amaya, M. L. Byron, Propulsive efficiency of spatiotemporally asymmetric oscillating appendages at intermediate Reynolds numbers. Bioinspiration & Biomimetics 19, 066004 (2024). ·13
2024
-
[33]
T. A. Williams, A model of rowing propulsion and the ontogeny of locomotion in Artemia larvae. The Biological Bulletin 187, 164–173 (1994)
1994
-
[34]
Vandenberghe, S
N. Vandenberghe, S. Childress, J. Zhang, On unidirectional flight of a free flapping wing. Physics of Fluids 18 (2006)
2006
-
[35]
S. E. Spagnolie, L. Moret, M. J. Shelley, J. Zhang, Surprising behaviors in flapping locomotion with passive pitching. Physics of Fluids 22, 041903 (2010)
2010
-
[36]
Karakas, D
F. Karakas, D. D’Oliveira, A. E. Maas, D. W. Murphy, Using a shell as a wing: pairing of dissimilar appendages in atlantiid heteropod swimming. Journal of Experimental Biology 221, jeb192062 (2018)
2018
-
[37]
B. J. Borrell, J. A. Goldbogen, R. Dudley, Aquatic wing flapping at low Reynolds numbers: swimming kinematics of the Antarctic pteropod, Clione antarctica. Journal of experimental biology 208, 2939–2949 (2005)
2005
-
[38]
Zhang, N.-S
J. Zhang, N.-S. Liu, X.-Y. Lu, Locomotion of a passively flapping flat plate. Journal of Fluid Mechanics 659, 43–68 (2010)
2010
-
[39]
D. W. Murphy, D. Adhikari, D. R. Webster, J. Yen, Underwater flight by the planktonic sea butterfly. Journal of Experimental Biology 219, 535–543 (2016)
2016
-
[40]
Herschlag, L
G. Herschlag, L. Miller, Reynolds number limits for jet propulsion: a numerical study of simplified jellyfish. Journal of theoretical biology 285, 84–95 (2011)
2011
-
[41]
I. K. Bartol, P. S. Krueger, W. J. Stewart, J. T. Thompson, Pulsed jet dynamics of squid hatchlings at intermediate Reynolds numbers. Journal of Experimental Biology 212, 1506– 1518 (2009)
2009
-
[42]
D. W. Murphy, D. R. Webster, J. Yen, The hydrodynamics of hovering in Antarctic krill. Limnology and Oceanography: Fluids and Environments 3, 240–255 (2013)
2013
-
[43]
Granzier-Nakajima, R
S. Granzier-Nakajima, R. D. Guy, C. Zhang-Molina, A Numerical Study of Metachronal Propulsion at Low to Intermediate Reynolds Numbers. Fluids 5 (2020)
2020
-
[44]
M. P. Ford, H. K. Lai, M. Samaee, A. Santhanakrishnan, Hydrodynamics of metachronal paddling: effects of varying Reynolds number and phase lag. Royal Society open science 6, 191387 (2019)
2019
-
[45]
L. A. van Duren, J. J. Videler, Escape from viscosity: the kinematics and hydrodynamics of copepod foraging and escape swimming. Journal of Experimental Biology 206, 269–279 (2003)
2003
-
[46]
Hubert, et al., Scallop Theorem and Swimming at the Mesoscale
M. Hubert, et al., Scallop Theorem and Swimming at the Mesoscale. Phys. Rev. Lett. 126, 224501 (2021). ·14
2021
-
[47]
Lauga, Continuous breakdown of Purcell’s scallop theorem with inertia
E. Lauga, Continuous breakdown of Purcell’s scallop theorem with inertia. Physics of Fluids 19 (2007)
2007
-
[48]
Chen, et al., Self-propulsion, flocking and chiral active phases from particles spinning at intermediate Reynolds numbers
P. Chen, et al., Self-propulsion, flocking and chiral active phases from particles spinning at intermediate Reynolds numbers. Nat. Phys. 21, 146–154 (2025)
2025
-
[49]
Jin, et al., Swimming of the midge larva: Principles and tricks of locomotion at intermediate Reynolds number
B. Jin, et al., Swimming of the midge larva: Principles and tricks of locomotion at intermediate Reynolds number. Physics of Fluids 35, 031903 (2023)
2023
-
[50]
Brackenbury, Swimming kinematics and wake elements in a worm-like insect: the larva of the midge Chironomus plumosus (Diptera)
J. Brackenbury, Swimming kinematics and wake elements in a worm-like insect: the larva of the midge Chironomus plumosus (Diptera). Journal of Zoology 260, 195–201 (2003)
2003
-
[51]
Dombrowski, et al., Transition in swimming direction in a model self-propelled inertial swimmer
T. Dombrowski, et al., Transition in swimming direction in a model self-propelled inertial swimmer. Physical Review Fluids 4, 021101 (2019)
2019
-
[52]
Dombrowski, D
T. Dombrowski, D. Klotsa, Kinematics of a simple reciprocal model swimmer at intermediate Reynolds numbers. Physical Review Fluids 5, 63103 (2020)
2020
-
[53]
N. J. Derr, T. Dombrowski, C. H. Rycroft, D. Klotsa, Reciprocal swimming at intermediate Reynolds number. Journal of Fluid Mechanics 952, A8 (2022)
2022
-
[54]
N. G. Chisholm, D. Legendre, E. Lauga, A. S. Khair, A squirmer across Reynolds numbers. Journal of Fluid Mechanics 796, 233–256 (2016)
2016
-
[55]
J. F. Collis, D. Chakraborty, J. E. Sader, Autonomous propulsion of nanorods trapped in an acoustic field. Journal of Fluid Mechanics 825, 29–48 (2017)
2017
-
[56]
Z. Shen, D. Fu, J. S. Lintuvuori, Inertia-driven propulsion of asymmetric spinner-dimers at moderate Reynolds numbers. Soft Matter 21, 4021–4028 (2025)
2025
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