Use of calculus of variations to determine the shape of hovering rotors of minimum power and its application to micro air vehicles

López García, Oscar and Cuerva Tejero, Alvaro and Esteban, S. (2012). Use of calculus of variations to determine the shape of hovering rotors of minimum power and its application to micro air vehicles. "Proceedings of the Institution of Mechanical Engineers Part G-Journal of Aerospace Engineering", v. 226 (n. 5); pp. 574-588. ISSN 0954-4100. https://doi.org/10.1177/0954410011411636.

Description

Title: Use of calculus of variations to determine the shape of hovering rotors of minimum power and its application to micro air vehicles
Author/s:
  • López García, Oscar
  • Cuerva Tejero, Alvaro
  • Esteban, S.
Item Type: Article
Título de Revista/Publicación: Proceedings of the Institution of Mechanical Engineers Part G-Journal of Aerospace Engineering
Date: May 2012
ISSN: 0954-4100
Volume: 226
Subjects:
Freetext Keywords: micro air vehicles, low Reynolds number aerodynamics, calculus of variations, hovering rotor, aerodynamic optimization, blade element momentum theory
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Vehículos Aeroespaciales [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

In this paper, calculus of variations and combined blade element and momentum theory (BEMT) are used to demonstrate that, in hover, when neither root nor tip losses are considered; the rotor, which minimizes the total power (MPR), generates an induced velocity that varies linearly along the blade span. The angle of attack of every blade element is constant and equal to its optimum value. The traditional ideal twist (ITR) and optimum (OR) rotors are revisited in the context of this variational framework. Two more optimum rotors are obtained considering root and tip losses, the ORL, and the MPRL. A comparison between these five rotors is presented and discussed. The MPR and MPRL present a remarkable saving of power for low values of both thrust coefficient and maximum aerodynamic efficiency. The result obtained can be exploited to improve the aerodynamic behaviour of rotary wing micro air vehicles (MAV). A comparison with experimental results obtained from the literature is presented.

More information

Item ID: 16424
DC Identifier: http://oa.upm.es/16424/
OAI Identifier: oai:oa.upm.es:16424
DOI: 10.1177/0954410011411636
Official URL: http://pig.sagepub.com/content/226/5/574
Deposited by: Memoria Investigacion
Deposited on: 11 Apr 2014 15:02
Last Modified: 21 Apr 2016 16:43
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