Articles

Aerodynamics of Air Propellers and Prospects of Coaxial Rotors for Small Aviation and Seaplanes

The development of small aviation and amphibious aircraft requires continuous improvement of propulsion systems. Coaxial rotors represent a promising solution, providing structural compactness, enhanced maneuverability, and improved efficiency across various flight regimes. This article examines fundamental aspects of air propeller aerodynamics and analyzes the advantages and limitations of coaxial rotor systems for small aviation applications.

Fundamentals of Propeller Aerodynamics

Air propeller aerodynamics is based on momentum theory and blade element theory. The primary parameter—thrust coefficient CT—is defined as the ratio of thrust to the product of air density, disk area, and the square of blade tip speed. For small aircraft, ensuring high propeller efficiency across various flight regimes is critical. Propeller efficiency depends on the distribution of blade twist, chord, and profile thickness. Research shows that optimal load distribution along the blade reduces induced drag and decreases power consumption by 15% or more compared to conventional designs. For small unmanned aircraft, Reynolds number is approximately 20,000, requiring specialized approaches to airfoil selection.

Design and Characteristics of Coaxial Rotors

Coaxial rotors consist of two counter-rotating propellers mounted on concentric shafts. The primary advantage of this configuration is torque compensation without requiring a tail rotor, which is particularly important for helicopters and multi-rotor aircraft. Experimental studies show that with proper rotor spacing (H/D = 0.08–0.14), a coaxial system can provide 15–20% thrust increase compared to a single rotor at identical power consumption. However, the coaxial configuration induces aerodynamic interaction between rotors: the upper rotor creates swirling flow that affects the lower rotor's efficiency. This interaction requires careful optimization of rotor spacing and blade geometry to minimize losses.

Aerodynamic Interaction Between Rotors

Interaction between coaxial rotors is a critical factor for system efficiency. The upper rotor generates swirling flow that enters the lower rotor, creating non-uniform velocity distribution. Momentum theory predicts a 28–41% increase in required power when both rotors operate at equal thrust; however, experimental data show more optimistic results—approximately 15% power increase. This difference is explained by swirl recovery effects and rotor spacing optimization. Numerical investigations using computational fluid dynamics (CFD) and wind tunnel measurements revealed that with proper configuration, coaxial rotors can reduce induced losses and increase overall system efficiency by 30–50% compared to single rotors in static conditions.

Application in Small Aviation and Seaplanes

Coaxial rotors are increasingly applied in small aviation, particularly in unmanned aerial vehicles (UAVs) and amphibious aircraft. For seaplanes and flying boats, coaxial configuration provides compact propulsion system placement and improved water handling due to the absence of a tail rotor. Small UAVs with coaxial rotors demonstrate exceptional maneuverability and hovering stability. Successful applications include EMT-Fancopter, AirRobot AR70, and Draganflyer X6 systems used in search-and-rescue operations and monitoring. Experimental data show that coaxial rotors with diameters of 254–600 mm provide thrust of 1100–1320 g at power consumption of 350–375 W, making them ideal for aircraft weighing 1–3 kg. A significant advantage is the ability to use fixed-pitch blades with electronic speed control to ensure maneuverability.

Challenges and Limitations of Coaxial Systems

Despite significant advantages, coaxial rotor systems have several limitations. The mechanical complexity of power transmission to two counter-rotating rotors requires specialized gearboxes with higher losses in some configurations. Flow interaction between rotors can increase noise, especially at high speeds. The lower rotor experiences swirling flow from the upper rotor, requiring higher rotation speeds to generate equivalent thrust, leading to increased noise. Research shows that in small UAVs with coaxial rotors, optimal rotor spacing is H/D = 0.25–0.47, significantly exceeding values for large aircraft (H/D ≈ 0.1), indicating a scaling effect. Additionally, aerodynamic interaction between rotors depends on Reynolds number, and small systems require specialized studies for performance optimization.

Development Prospects and Innovations

Future development of coaxial rotors is associated with the application of new materials, aerodynamic profiles, and control systems. NASA research shows that innovative blade profiles based on PRANDTL-D theory can provide efficiency improvements of 15% or more while reducing noise. Development of adaptive blades with variable twist will allow optimization across various flight regimes. The use of composite materials and 3D printing opens opportunities for more precise blade geometry optimization for specific operating conditions. For seaplanes, a promising direction is the integration of coaxial rotors with hybrid propulsion systems, expanding flight range and efficiency. Numerical modeling using RANS and LES methods continues to refine understanding of aerodynamic processes in coaxial systems, particularly at low Reynolds numbers characteristic of small aircraft.

References

1. Prior, S.D. (2010). Reviewing and Investigating the Use of Co-Axial Rotor Systems in Small UAVs. International Journal of Micro Air Vehicles, 2(1), 1–16. DOI: 10.1260/1756-8293.2.1.1 2. Blaesser, N.J. (2024). Fundamental Proprotor Design Considerations. NASA Technical Memorandum NASA/TM–20240002116, Langley Research Center. 3. Goyal, R., et al. (2024). Benchmarking of Aerodynamic Models for Isolated Propellers Operating at Positive and Negative Thrust. AIAA Journal, 62(7), 2769–2785. DOI: 10.2514/1.J064093 4. Elsamni, O.A., et al. (2025). Design and Performance Analysis of a Counter-Rotating Electric Ducted Fan System for VTOL UAV Applications. Mathematical Modelling of Engineering Problems, 12(5), 1–15. DOI: 10.18280/mmep.120524 5. Corkery, S., et al. (2025). Porous Ground Treatments for Propeller Noise Reduction in Urban Air Mobility. Progress in Aerospace Sciences, 148, 101–125.

Application of Asymmetric Airfoils to Main Rotor Blades of Small Helicopters

Asymmetric airfoils for helicopter rotor blades enhance aerodynamic efficiency, particularly at low Reynolds numbers typical for small helicopters. Unlike symmetrical profiles, they provide higher lift at zero angle of attack while minimizing pitching moments. This is particularly relevant for UAVs and light helicopters with small rotors.[7]

Aerodynamic Basics of Asymmetric Airfoils

Asymmetric (cambered) airfoils differ from symmetrical ones by having camber, generating lift at zero angle of attack. For main rotor blades, key requirements include low pitching moment about aerodynamic center (C_m ≈ 0), high max lift coefficients, and delayed stall. Symmetrical profiles like NACA 0015 are common in small helicopters for stability, but asymmetric, including reflexed (NACA 230-series), better handle lift dissymmetry in forward flight.[4][7] At low Re (10^4-10^5) typical for small rotors, cambered flat plates (4-6% camber) outperform conventional airfoils, providing up to 7% higher thrust and 5% better figure of merit (FM). This is due to early turbulence transition at sharp leading edges, avoiding laminar separation bubbles.[1][2]

Advantages in Small Helicopters

In small helicopters and UAVs, low Reynolds numbers cause early stall on symmetrical airfoils. Asymmetric profiles like cambered plates improve FM by 54% and reduce power via optimized taper and twist.[6] Airfoil combinations along span (inboard/outboard) boost FM in hover and L/D forward.[1] Supercritical airfoils (NASA SC(2)-0714) increase thrust 5-10% at high speeds.

Flow Phenomena at Low Re

At Re < 10^5, laminar separation bubbles (LSB) degrade conventional airfoil performance. Sharp leading edges of asymmetric plates trigger KH instabilities, leading to turbulent reattachment and vortex shedding, boosting L/D 17-41%.[2] In Mars-like conditions (akin to small rotors), cambered plates outperform MH airfoils. Transition depends on freestream turbulence and rotor vibrations.[1]

Optimization and Applications

Multi-objective optimization (GA + UMARC2) for Hart-II blades shows gains from sectional asymmetric airfoils.[1] In RC helicopters, cambered optimized blades enhance efficiency. Russian sources note modified NACA 230-13M for Mi-2, near-symmetrical but cambered for efficiency.[9]

References

1. Bousman, W.G. Airfoil Design and Rotorcraft Performance. NASA Ames, 2002 [1]. 2. Koning, W.J.F. et al. Low Reynolds Number Airfoil Evaluation for the Mars Helicopter Rotor. NASA TP, 2018 [2]. 3. Safdar, M.M. et al. Multi-Objective Optimization of Helicopter Rotor Blade. AIAA SciTech 2025 [1]. 4. Forward Flight Performance Analysis of Supercritical Airfoil. Tech Science Press, 2022 . 5. Herniczek, M. et al. Rotor blade optimization and flight testing of a small UAV rotorcraft. Carleton Univ., 2019 [6]. 6. Лопасти несущего винта Ми-2. ooobskspetsavia.ru, 2015 [9].

Overview of ROAMX Project for Mars Rotor Optimization

The Rotor Optimization for the Advancement of Mars eXploration (ROAMX) project at NASA Ames Research Center aims to develop and validate optimized airfoils and rotor blades for future Mars rotorcraft. Research targets compressible flows at low Reynolds numbers typical of the Martian atmosphere. Experimental tests have confirmed significant efficiency improvements over the Ingenuity baseline.[1][7]

Background and Challenges

Mars rotorcraft research at NASA Ames dates back to the late 1990s, with initial hover tests in Mars-like conditions at the Planetary Aeolian Laboratory (PAL). Ingenuity's 2021 success demonstrated planetary flight but highlighted needs for rotor efficiency gains due to low atmospheric density (Re ~10^3-10^4, M >0.7). ROAMX builds on this heritage, targeting compressible low-Re aerodynamics.[6]

ROAMX Objectives

Funded by NASA STMD Early Career Initiative (2020-2022, extended), ROAMX develops blade optimization methodologies for mission-specific requirements using genetic algorithms and CAMRAD II. Key goal is hover figure of merit (FM) >0.60, surpassing Ingenuity's 0.50-0.60. Collaboration involves JPL, University of Maryland, AeroVironment, and Tohoku University.[2]

Computational Optimization

Airfoil optimization employs unsteady RANS solvers for unconventional sharp-leading-edge shapes, yielding 17-41% L/D improvements at low Re. Chord and twist distributions are optimized for rotors with solidity 0.25 using CAMRAD II. UMD's X3D performs structural analysis for thin blades.

Experimental Validation

2024-2025 PAL tests of a 4-bladed rotor achieved 29% peak FM increase over Ingenuity at Mars density. Vacuum chambers match Re and M, with blade tensile tests. Airfoil tests planned in Tohoku's Mars Wind Tunnel.

Results and Future

ROAMX rotors enable higher payload, range, and speed for Mars Science Helicopter concepts. Validated tools support future missions, including forward flight and multi-rotors. Ongoing: new wind tunnels and CFD for designs.

References

1. Cummings H. et al., Overview and Introduction of the Rotor Optimization for the Advancement of Mars eXploration (ROAMX) Project, Vertical Flight Society, 2022 [6]. 2. Koning W. et al., Airfoil Selection for Mars Rotor Applications, NASA CR-2019-220236, 2019 [3]. 3. Novel Guidelines and Designs for Airfoils and Helicopter Blades for Mars, NASA TR, 2026 [7]. 4. Capabilities of Mars Helicopters Using Optimized Rotors, NASA TR, 2026 . 5. Optimization of Low Reynolds Number Airfoils for Martian Rotor Applications, AIAA SciTech, 2020 [8]. 6. Improved Mars Helicopter Aerodynamic Rotor Model, AIAA Journal, 2019 [10].