2015
DOI: 10.2514/1.j053507
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Revisiting Froude’s Theory for Hovering Shrouded Rotor

Abstract: International audienceThis paper extends Froude’s momentum theory for free propellers to the analysis of shrouded rotors. A one-dimensional analytical approach is provided, and a homokinetic normal inlet surface model is proposed. Formulations of thrusts and power for each system component are derived, leading to the definition of optimum design criteria and providing insight into the global aerodynamics of shrouded rotors. In the context of micro-air vehicles applications, assessment of the model is conducted… Show more

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Cited by 5 publications
(5 citation statements)
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“…This allows the shroud to produce all or more than the whole shroud thrust, according to the theoretical studies. 13 A larger inlet radius, which corresponds to a larger low-pressure region, can hence produces more thrust under the same mass flow. However, the difference on two inlets is small when the divergent nozzle is used.…”
Section: Effects Of Two Key Shroud Geometric Parametersmentioning
confidence: 99%
See 1 more Smart Citation
“…This allows the shroud to produce all or more than the whole shroud thrust, according to the theoretical studies. 13 A larger inlet radius, which corresponds to a larger low-pressure region, can hence produces more thrust under the same mass flow. However, the difference on two inlets is small when the divergent nozzle is used.…”
Section: Effects Of Two Key Shroud Geometric Parametersmentioning
confidence: 99%
“…In order to avoid the external influence on the tests, it should keep no obstruction at least 10 times the rotor diameter in the upstream and downstream main frame. The metal frame which supports two rotors and shroud was designed wider than the flow-tube absorbed into the shroud according to the theoretical analysis in Jardin et al, 13 so that the effect from the frame to the air flow is minimized and can hence be ignored. The propulsion model components including the shroud and double rotor are hanged by three mechanical swingarms, which are connected to three mechanical parallelogram constructions, respectively, at the top.…”
Section: Introductionmentioning
confidence: 99%
“…However, at the geometric inlet, the flow accelerates near the leading edge due to the shroud lip curvature and therefore is not uniform. Different definitions of the inlet geometric parameters were discussed in Jardin et al, 13 which proposed a homokinetic normal inlet surface model to ensure the uniform flow features at the inlet boundary. Therefore, in this work, a semispherical geometry which is big enough with a radius of 2.5 times rotor radius Rr was introduced on the top of the shroud geometric inlet.…”
Section: Computational Field and Boundary Conditionsmentioning
confidence: 99%
“…11 However, operating in a low Reynolds number, such configuration still has many aerodynamic problems such as the transition from laminar flow to the turbulent flow at the inlet, which can aggravate the unsteady features of the flow. 12,13 Meanwhile, due to the configuration, the interactions among different components result in a very complex flow. Therefore, in order to reveal the potential aerodynamics and flow features, computations become necessary as a supplementary approach to current experiments.…”
Section: Introductionmentioning
confidence: 99%
“…Until recently the first two theories were more often employed in practical calculation. 14,15 This is primarily due to the mathematical complexity of the vortex theory. Most of today's propellers were designed depending on the principle of independence of blade elements.…”
Section: Modeling Framework Of the Aerodynamic Model Fundamentals Andmentioning
confidence: 99%