An Investigation of a Mathematical Model for the Internal Velocity Profile of Conical Diffusers Applied to DAWTs

BARBOSA, Disterfano Lima Martins; VAZ, Jerson Rogério Pinheiro; FIGUEIREDO, Sávio W.O.; SILVA, Marcelo de Oliveira e; LINS, Erb Ferreira; MESQUITA, André Luiz Amarante

Artigo

An Investigation of a Mathematical Model for the Internal Velocity Profile of Conical Diffusers Applied to DAWTs

The Diffuser Augmented Wind Turbines (DAWTs) have been widely studied, since the diffusers improve the power coefficient of the wind turbine, particularly of small systems. The diffuser is a device which has the function of causing an increase on the flow velocity through the wind rotor plane due to...

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Autor principal:	BARBOSA, Disterfano Lima Martins
Outros Autores:	VAZ, Jerson Rogério Pinheiro, FIGUEIREDO, Sávio W.O. , SILVA, Marcelo de Oliveira e, LINS, Erb Ferreira, MESQUITA, André Luiz Amarante
Grau:	Artigo
Idioma:	por
Publicado em:	Universidade Federal do Pará 2017
Assuntos:	Modelo matemático Difusor Turbinas eólicas Energia eólica Engenharia mecânica
Acesso em linha:	http://repositorio.ufpa.br/jspui/handle/2011/7861

id	ir-2011-7861
recordtype	dspace
spelling	ir-2011-78612017-10-16T12:06:55Z An Investigation of a Mathematical Model for the Internal Velocity Profile of Conical Diffusers Applied to DAWTs BARBOSA, Disterfano Lima Martins VAZ, Jerson Rogério Pinheiro FIGUEIREDO, Sávio W.O. SILVA, Marcelo de Oliveira e LINS, Erb Ferreira MESQUITA, André Luiz Amarante Modelo matemático Difusor Turbinas eólicas Energia eólica Engenharia mecânica The Diffuser Augmented Wind Turbines (DAWTs) have been widely studied, since the diffusers improve the power coefficient of the wind turbine, particularly of small systems. The diffuser is a device which has the function of causing an increase on the flow velocity through the wind rotor plane due to pressure drop downstream, therefore resulting in an increase of the rotor power coefficient. This technology aids the turbine to exceed the Betz limit, which states that the maximum kinetic energy extracted from the flow is 59.26%. Thus, the present study proposes a mathematical model describing the behavior of the internal velocity for three conical diffusers, taking into account the characteristics of flow around them. The proposed model is based on the Biot-Savart's Law, in which the vortex filament induces a velocity field at an arbitrary point on the axis of symmetry of the diffusers. The results are compared with experimental data obtained for the three diffusers, and present good agreement. Difusores de aumento da potência de turbinas eólicas (DAWTs) têm sido amplamente estudados, uma vez que os difusores melhoraram o coeficiente de potência de turbinas eólicas, particularmente dos sistemas de pequeno porte. O difusor é um dispositivo que tem a função de provocar um aumento da velocidade do vento que passa através do plano do rotor eólico, devido a queda de pressão a jusante do difusor, por conseguinte, resultando em um aumento do coeficiente de potência do rotor. Esta tecnologia faz com que a turbina exceda o limite de Betz, onde a energia cinética máxima extraída do fluxo é de 59,26%. Assim, o presente estudo propõe um modelo matemático que descreva o comportamento do perfil de velocidade interna a três difusores cônicos, considerando as características do escoamento em torno deles. O modelo proposto baseia-se na lei de Biot-Savart, em que o filamento de vórtice induz um campo de velocidade num ponto arbitrário nos eixos de simetria dos difusores. Os resultados são comparados com dados experimentais obtidos para os três difusores, apresentando boa concordância. 2017-03-10T17:11:48Z 2017-03-10T17:11:48Z 2015-06 Artigo de Periódico BARBOSA, Disterfano Lima Martins. et al. An Investigation of a Mathematical Model for the Internal Velocity Profile of Conical Diffusers Applied to DAWTs. Anais da Academia Brasileira de Ciências, Rio de Janeiro, v. 87, n. 2, p. 1133-1148, abr./jun. 2015. Disponível em: <http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652015000201133&lng=pt&nrm=iso>. Acesso em: 10 mar. 2017. Epub 28-Abr-2015. <http://dx.doi.org/10.1590/0001-3765201520140114>. 1678-2690 http://repositorio.ufpa.br/jspui/handle/2011/7861 por Anais da Academia Brasileira de Ciências Acesso Aberto application/pdf Universidade Federal do Pará Brasil UFPA
institution	Repositório Institucional - Universidade Federal do Pará
collection	RI-UFPA
language	por
topic	Modelo matemático Difusor Turbinas eólicas Energia eólica Engenharia mecânica
spellingShingle	Modelo matemático Difusor Turbinas eólicas Energia eólica Engenharia mecânica BARBOSA, Disterfano Lima Martins An Investigation of a Mathematical Model for the Internal Velocity Profile of Conical Diffusers Applied to DAWTs
topic_facet	Modelo matemático Difusor Turbinas eólicas Energia eólica Engenharia mecânica
description	The Diffuser Augmented Wind Turbines (DAWTs) have been widely studied, since the diffusers improve the power coefficient of the wind turbine, particularly of small systems. The diffuser is a device which has the function of causing an increase on the flow velocity through the wind rotor plane due to pressure drop downstream, therefore resulting in an increase of the rotor power coefficient. This technology aids the turbine to exceed the Betz limit, which states that the maximum kinetic energy extracted from the flow is 59.26%. Thus, the present study proposes a mathematical model describing the behavior of the internal velocity for three conical diffusers, taking into account the characteristics of flow around them. The proposed model is based on the Biot-Savart's Law, in which the vortex filament induces a velocity field at an arbitrary point on the axis of symmetry of the diffusers. The results are compared with experimental data obtained for the three diffusers, and present good agreement.
format	Artigo
author	BARBOSA, Disterfano Lima Martins
author2	VAZ, Jerson Rogério Pinheiro FIGUEIREDO, Sávio W.O. SILVA, Marcelo de Oliveira e LINS, Erb Ferreira MESQUITA, André Luiz Amarante
author2Str	VAZ, Jerson Rogério Pinheiro FIGUEIREDO, Sávio W.O. SILVA, Marcelo de Oliveira e LINS, Erb Ferreira MESQUITA, André Luiz Amarante
title	An Investigation of a Mathematical Model for the Internal Velocity Profile of Conical Diffusers Applied to DAWTs
title_short	An Investigation of a Mathematical Model for the Internal Velocity Profile of Conical Diffusers Applied to DAWTs
title_full	An Investigation of a Mathematical Model for the Internal Velocity Profile of Conical Diffusers Applied to DAWTs
title_fullStr	An Investigation of a Mathematical Model for the Internal Velocity Profile of Conical Diffusers Applied to DAWTs
title_full_unstemmed	An Investigation of a Mathematical Model for the Internal Velocity Profile of Conical Diffusers Applied to DAWTs
title_sort	investigation of a mathematical model for the internal velocity profile of conical diffusers applied to dawts
publisher	Universidade Federal do Pará
publishDate	2017
url	http://repositorio.ufpa.br/jspui/handle/2011/7861
_version_	1832604604724936704
score	11.755432

An Investigation of a Mathematical Model for the Internal Velocity Profile of Conical Diffusers Applied to DAWTs

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