Motion of a falling drop with accretion using Newtonian methods
Autor(a) principal: | |
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Data de Publicação: | 2011 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Revista Brasileira de Ensino de Física (Online) |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172011000300014 |
Resumo: | The motion of a falling drop whose mass grows by accretion is studied with Newtonian methods to the point of finding the position as a function of time. The equation of motion applied is the equation of motion of continuum mechanics in its Eulerian or space formulation. We study three examples of laws of accretion: mass growing linearly with time, mass growing linearly with the surface of the drop and mass growing proportionally to the product of surface and velocity. These examples are sometimes left as exercises, without further discussion, asking only for v(z), or the final velocity. We also show that the solutions have the correct limit of a particle of constant mass in free fall and of such a particle with friction linear in the velocity. |
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Motion of a falling drop with accretion using Newtonian methodsvariable mass systemsaccretionThe motion of a falling drop whose mass grows by accretion is studied with Newtonian methods to the point of finding the position as a function of time. The equation of motion applied is the equation of motion of continuum mechanics in its Eulerian or space formulation. We study three examples of laws of accretion: mass growing linearly with time, mass growing linearly with the surface of the drop and mass growing proportionally to the product of surface and velocity. These examples are sometimes left as exercises, without further discussion, asking only for v(z), or the final velocity. We also show that the solutions have the correct limit of a particle of constant mass in free fall and of such a particle with friction linear in the velocity.Sociedade Brasileira de Física2011-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172011000300014Revista Brasileira de Ensino de Física v.33 n.3 2011reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S1806-11172011000300014info:eu-repo/semantics/openAccessHernandez,G.del Valle,G.Campos,I.Jimenez,J.L.por2011-11-01T00:00:00Zoai:scielo:S1806-11172011000300014Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2011-11-01T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false |
dc.title.none.fl_str_mv |
Motion of a falling drop with accretion using Newtonian methods |
title |
Motion of a falling drop with accretion using Newtonian methods |
spellingShingle |
Motion of a falling drop with accretion using Newtonian methods Hernandez,G. variable mass systems accretion |
title_short |
Motion of a falling drop with accretion using Newtonian methods |
title_full |
Motion of a falling drop with accretion using Newtonian methods |
title_fullStr |
Motion of a falling drop with accretion using Newtonian methods |
title_full_unstemmed |
Motion of a falling drop with accretion using Newtonian methods |
title_sort |
Motion of a falling drop with accretion using Newtonian methods |
author |
Hernandez,G. |
author_facet |
Hernandez,G. del Valle,G. Campos,I. Jimenez,J.L. |
author_role |
author |
author2 |
del Valle,G. Campos,I. Jimenez,J.L. |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Hernandez,G. del Valle,G. Campos,I. Jimenez,J.L. |
dc.subject.por.fl_str_mv |
variable mass systems accretion |
topic |
variable mass systems accretion |
description |
The motion of a falling drop whose mass grows by accretion is studied with Newtonian methods to the point of finding the position as a function of time. The equation of motion applied is the equation of motion of continuum mechanics in its Eulerian or space formulation. We study three examples of laws of accretion: mass growing linearly with time, mass growing linearly with the surface of the drop and mass growing proportionally to the product of surface and velocity. These examples are sometimes left as exercises, without further discussion, asking only for v(z), or the final velocity. We also show that the solutions have the correct limit of a particle of constant mass in free fall and of such a particle with friction linear in the velocity. |
publishDate |
2011 |
dc.date.none.fl_str_mv |
2011-09-01 |
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=S1806-11172011000300014 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172011000300014 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
10.1590/S1806-11172011000300014 |
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 |
Sociedade Brasileira de Física |
publisher.none.fl_str_mv |
Sociedade Brasileira de Física |
dc.source.none.fl_str_mv |
Revista Brasileira de Ensino de Física v.33 n.3 2011 reponame:Revista Brasileira de Ensino de Física (Online) instname:Sociedade Brasileira de Física (SBF) instacron:SBF |
instname_str |
Sociedade Brasileira de Física (SBF) |
instacron_str |
SBF |
institution |
SBF |
reponame_str |
Revista Brasileira de Ensino de Física (Online) |
collection |
Revista Brasileira de Ensino de Física (Online) |
repository.name.fl_str_mv |
Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF) |
repository.mail.fl_str_mv |
||marcio@sbfisica.org.br |
_version_ |
1752122421378285568 |