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; Cuerva Tejero, Alvaro y 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.

Descripción

Título: Use of calculus of variations to determine the shape of hovering rotors of minimum power and its application to micro air vehicles
Autor/es:
  • López García, Oscar
  • Cuerva Tejero, Alvaro
  • Esteban, S.
Tipo de Documento: Artículo
Título de Revista/Publicación: Proceedings of the Institution of Mechanical Engineers Part G-Journal of Aerospace Engineering
Fecha: Mayo 2012
Volumen: 226
Materias:
Palabras Clave Informales: micro air vehicles, low Reynolds number aerodynamics, calculus of variations, hovering rotor, aerodynamic optimization, blade element momentum theory
Escuela: E.T.S.I. Aeronáuticos (UPM) [antigua denominación]
Departamento: Vehículos Aeroespaciales [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

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.

Más información

ID de Registro: 16424
Identificador DC: http://oa.upm.es/16424/
Identificador OAI: oai:oa.upm.es:16424
Identificador DOI: 10.1177/0954410011411636
URL Oficial: http://pig.sagepub.com/content/226/5/574
Depositado por: Memoria Investigacion
Depositado el: 11 Abr 2014 15:02
Ultima Modificación: 21 Abr 2016 16:43
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