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

Bibliographic Details
Main Author: BARBOSA,DISTERFANO L.M.
Publication Date: 2015
Other Authors: VAZ,JERSON R.P., FIGUEIREDO,SÁVIO W.O., SILVA,MARCELO DE OLIVEIRA E, LINS,ERB F., MESQUITA,ANDRÉ L.A.
Format: Article
Language: eng
Source: Anais da Academia Brasileira de Ciências (Online)
Download full: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652015000201133
Summary: 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.
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spelling An Investigation of a Mathematical Model for the Internal Velocity Profile of Conical Diffusers Applied to DAWTsDAWTsdiffuserswind energyBiot-Savart's lawThe 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.Academia Brasileira de Ciências2015-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652015000201133Anais da Academia Brasileira de Ciências v.87 n.2 2015reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/0001-3765201520140114info:eu-repo/semantics/openAccessBARBOSA,DISTERFANO L.M.VAZ,JERSON R.P.FIGUEIREDO,SÁVIO W.O.SILVA,MARCELO DE OLIVEIRA ELINS,ERB F.MESQUITA,ANDRÉ L.A.eng2016-03-04T00:00:00Zoai:scielo:S0001-37652015000201133Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2016-03-04T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv An Investigation of a Mathematical Model for the Internal Velocity Profile of Conical Diffusers Applied to DAWTs
title An Investigation of a Mathematical Model for the Internal Velocity Profile of Conical Diffusers Applied to DAWTs
spellingShingle An Investigation of a Mathematical Model for the Internal Velocity Profile of Conical Diffusers Applied to DAWTs
BARBOSA,DISTERFANO L.M.
DAWTs
diffusers
wind energy
Biot-Savart's law
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 An Investigation of a Mathematical Model for the Internal Velocity Profile of Conical Diffusers Applied to DAWTs
author BARBOSA,DISTERFANO L.M.
author_facet BARBOSA,DISTERFANO L.M.
VAZ,JERSON R.P.
FIGUEIREDO,SÁVIO W.O.
SILVA,MARCELO DE OLIVEIRA E
LINS,ERB F.
MESQUITA,ANDRÉ L.A.
author_role author
author2 VAZ,JERSON R.P.
FIGUEIREDO,SÁVIO W.O.
SILVA,MARCELO DE OLIVEIRA E
LINS,ERB F.
MESQUITA,ANDRÉ L.A.
author2_role author
author
author
author
author
dc.contributor.author.fl_str_mv BARBOSA,DISTERFANO L.M.
VAZ,JERSON R.P.
FIGUEIREDO,SÁVIO W.O.
SILVA,MARCELO DE OLIVEIRA E
LINS,ERB F.
MESQUITA,ANDRÉ L.A.
dc.subject.por.fl_str_mv DAWTs
diffusers
wind energy
Biot-Savart's law
topic DAWTs
diffusers
wind energy
Biot-Savart's law
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.
publishDate 2015
dc.date.none.fl_str_mv 2015-06-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652015000201133
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652015000201133
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/0001-3765201520140114
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Academia Brasileira de Ciências
publisher.none.fl_str_mv Academia Brasileira de Ciências
dc.source.none.fl_str_mv Anais da Academia Brasileira de Ciências v.87 n.2 2015
reponame:Anais da Academia Brasileira de Ciências (Online)
instname:Academia Brasileira de Ciências (ABC)
instacron:ABC
instname_str Academia Brasileira de Ciências (ABC)
instacron_str ABC
institution ABC
reponame_str Anais da Academia Brasileira de Ciências (Online)
collection Anais da Academia Brasileira de Ciências (Online)
repository.name.fl_str_mv Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)
repository.mail.fl_str_mv ||aabc@abc.org.br
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