{"id":52004,"date":"2020-02-02T10:10:44","date_gmt":"2020-02-02T09:10:44","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/o-que-e-o-principio-de-bernoulli-exemplos-definicao\/"},"modified":"2020-02-02T10:11:29","modified_gmt":"2020-02-02T09:11:29","slug":"o-que-e-o-principio-de-bernoulli-exemplos-definicao","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-o-principio-de-bernoulli-exemplos-definicao\/","title":{"rendered":"O que \u00e9 o princ\u00edpio de Bernoulli &#8211; Exemplos &#8211; Defini\u00e7\u00e3o"},"content":{"rendered":"<div class=\"su-quote su-quote-style-default\">\n<div class=\"su-quote-inner su-clearfix\">Princ\u00edpio de Bernoulli &#8211; Exemplos.\u00a0Exemplo de vaz\u00f5es em um reator.\u00a0Exemplo de for\u00e7as de eleva\u00e7\u00e3o.\u00a0Exemplo de bola girando no fluxo de ar.\u00a0Princ\u00edpio de Bernoulli<\/div>\n<\/div>\n<div class=\"su-divider su-divider-style-dotted\"><\/div>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-100 lgc-tablet-grid-100 lgc-mobile-grid-100 lgc-equal-heights lgc-first lgc-last\">\n<div class=\"inside-grid-column\">\n<div class=\"su-spacer\"><\/div>\n<h2>Princ\u00edpio de Bernoulli &#8211; Exemplos<\/h2>\n<div class=\"su-divider su-divider-style-dotted\"><\/div>\n<\/div>\n<\/div>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-100 lgc-tablet-grid-100 lgc-mobile-grid-100 lgc-equal-heights lgc-first lgc-last\">\n<div class=\"inside-grid-column\">\n<div class=\"su-spacer\"><\/div>\n<h2>Efeito de Bernoulli &#8211; Rela\u00e7\u00e3o entre press\u00e3o e velocidade<\/h2>\n<p>\u00c9 um exemplo ilustrativo, os dados a seguir\u00a0<strong>n\u00e3o<\/strong>\u00a0correspondem a nenhum projeto de reator.<\/p>\n<figure id=\"attachment_14206\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-14206\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Continuity-Equation-Flow-Rate-min.png\"><img loading=\"lazy\" class=\"size-medium wp-image-14206 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Continuity-Equation-Flow-Rate-min-300x300.png\" alt=\"Equa\u00e7\u00e3o de continuidade - taxas de fluxo atrav\u00e9s do reator\" width=\"300\" height=\"300\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Continuity-Equation-Flow-Rate-min-300x300.png\" \/><\/a><figcaption id=\"caption-attachment-14206\" class=\"wp-caption-text\">Exemplo de vaz\u00f5es em um reator.\u00a0\u00c9 um exemplo ilustrativo, os dados n\u00e3o representam nenhum projeto de reator.<\/figcaption><\/figure>\n<p>Quando a\u00a0<a title=\"Equa\u00e7\u00e3o de Bernoulli - Princ\u00edpio de Bernoulli\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-a-equacao-de-bernoulli-principio-de-bernoulli-definicao\/\"><strong>equa\u00e7\u00e3o de Bernoulli<\/strong><\/a>\u00a0\u00e9 combinada com a\u00a0<a title=\"Equa\u00e7\u00e3o de continuidade\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-equacao-de-continuidade-definicao\/\">equa\u00e7\u00e3o de continuidade,<\/a>\u00a0as duas podem ser usadas para encontrar velocidades e press\u00f5es em pontos do fluxo conectados por uma linha de corrente.<\/p>\n<p><strong>A equa\u00e7\u00e3o de continuidade<\/strong>\u00a0\u00e9 simplesmente uma express\u00e3o matem\u00e1tica do princ\u00edpio de\u00a0<a title=\"Lei de conserva\u00e7\u00e3o da massa\" href=\"https:\/\/www.nuclear-power.com\/laws-of-conservation\/law-of-conservation-of-matter\/\">conserva\u00e7\u00e3o de massa<\/a>\u00a0.\u00a0Para um volume de controle que tem uma\u00a0<strong>\u00fanica entrada<\/strong>\u00a0e uma\u00a0<strong>\u00fanica sa\u00edda<\/strong>\u00a0, o princ\u00edpio de conserva\u00e7\u00e3o de massa afirma que, para o\u00a0<strong>fluxo em estado estacion\u00e1rio<\/strong>\u00a0, a taxa de fluxo de massa no volume deve ser igual \u00e0 taxa de fluxo de massa.<\/p>\n<p><strong>Exemplo:<\/strong><\/p>\n<p><strong>Determine a press\u00e3o e a velocidade<\/strong>\u00a0dentro de uma perna fria da tubula\u00e7\u00e3o prim\u00e1ria e determine a press\u00e3o e a velocidade no fundo de um\u00a0<strong><a title=\"N\u00facleo do reator\" href=\"https:\/\/www.reactor-physics.com\/what-is-reactor-core-definition\/\">n\u00facleo do reator<\/a><\/strong>\u00a0, que fica cerca de 5 metros abaixo da perna fria da tubula\u00e7\u00e3o prim\u00e1ria.<\/p>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-100 lgc-tablet-grid-100 lgc-mobile-grid-100 lgc-equal-heights  lgc-first lgc-last\">\n<div class=\"inside-grid-column\">\n<p><span>Vamos assumir:<\/span><\/p>\n<ul>\n<li><span>Fluido de densidade constante\u00a0<\/span><strong><span>\u2374 ~ 720 kg \/ m\u00a0<\/span><sup><span>3<\/span><\/sup><\/strong><span>\u00a0(a 290 \u00b0 C) est\u00e1 fluindo continuamente atrav\u00e9s da perna fria e atrav\u00e9s da parte inferior do n\u00facleo.<\/span><\/li>\n<\/ul>\n<ul>\n<li><span>A se\u00e7\u00e3o transversal do fluxo da tubula\u00e7\u00e3o prim\u00e1ria (loop \u00fanico) \u00e9 igual a\u00a0<\/span><strong><span>0,385 m\u00a0<\/span><sup><span>2<\/span><\/sup><\/strong><span>\u00a0(di\u00e2metro da tubula\u00e7\u00e3o ~ 700 mm)<\/span><\/li>\n<\/ul>\n<ul>\n<li><span>A velocidade do fluxo na perna fria \u00e9 igual a\u00a0<\/span><strong><span>17 m \/ s<\/span><\/strong><span>\u00a0.<\/span><\/li>\n<\/ul>\n<ul>\n<li><span>A se\u00e7\u00e3o transversal do fluxo do n\u00facleo do reator \u00e9 igual a\u00a0<\/span><strong><span>5m\u00a0<\/span><sup><span>2<\/span><\/sup><\/strong><span>\u00a0.<\/span><\/li>\n<\/ul>\n<ul>\n<li><span>A press\u00e3o manom\u00e9trica dentro da perna fria \u00e9 igual a\u00a0<\/span><strong><span>16 MPa<\/span><\/strong><span>\u00a0.<\/span><\/li>\n<\/ul>\n<p><span>Como resultado do princ\u00edpio da continuidade, a velocidade na parte inferior do n\u00facleo \u00e9:<\/span><\/p>\n<p><span>v\u00a0<\/span><sub><span>entrada<\/span><\/sub><span>\u00a0= v\u00a0<\/span><sub><span>frio<\/span><\/sub><span>\u00a0.\u00a0Uma\u00a0<\/span><sub><span>tubula\u00e7\u00e3o<\/span><\/sub><span>\u00a0\/\u00a0<\/span><sub><span>n\u00facleo<\/span><\/sub><span>\u00a0A\u00a0= 17 x 1,52 \/ 5 =\u00a0<\/span><strong><span>5,17 m \/ s<\/span><\/strong><\/p>\n<p><span>Como resultado\u00a0<\/span><strong><span>do<\/span><\/strong><span>\u00a0princ\u00edpio\u00a0<strong>de Bernoulli,<\/strong>\u00a0a press\u00e3o na parte inferior do n\u00facleo (entrada do n\u00facleo) \u00e9:<\/span><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Bernoulli-principle-example.png\"><img loading=\"lazy\" class=\"size-full wp-image-14240 alignleft lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Bernoulli-principle-example.png\" alt=\"Princ\u00edpio de Bernoulli - Exemplo\" width=\"468\" height=\"211\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Bernoulli-principle-example.png\" \/><\/a><\/p>\n<div class=\"su-divider su-divider-style-dotted\"><\/div>\n<\/div>\n<\/div>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-100 lgc-tablet-grid-100 lgc-mobile-grid-100 lgc-equal-heights  lgc-first lgc-last\">\n<div class=\"inside-grid-column\">\n<div class=\"su-spacer\"><\/div>\n<h2><span>Princ\u00edpio de Bernoulli &#8211; For\u00e7a de Eleva\u00e7\u00e3o<\/span><\/h2>\n<figure id=\"attachment_14241\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-14241\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Lift-Force-Newtons-Law-min.png\"><img loading=\"lazy\" class=\"wp-image-14241 size-medium lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Lift-Force-Newtons-Law-min-300x169.png\" alt=\"For\u00e7a de Levantamento - Lei de Newton\" width=\"300\" height=\"169\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Lift-Force-Newtons-Law-min-300x169.png\" \/><\/a><figcaption id=\"caption-attachment-14241\" class=\"wp-caption-text\"><span>A terceira lei de Newton afirma que o levantamento \u00e9 causado por uma deflex\u00e3o do fluxo.<\/span><\/figcaption><\/figure>\n<p><span>Em geral,\u00a0<\/span><strong><span>o elevador<\/span><\/strong><span>\u00a0\u00e9 uma for\u00e7a de a\u00e7\u00e3o ascendente na asa da aeronave ou\u00a0<\/span><strong><span>aerof\u00f3lio<\/span><\/strong><span>\u00a0.\u00a0Existem v\u00e1rias maneiras de explicar\u00a0<\/span><strong><span>como um aerof\u00f3lio gera sustenta\u00e7\u00e3o<\/span><\/strong><span>\u00a0.\u00a0Algumas teorias s\u00e3o mais complicadas ou matematicamente rigorosas do que outras.\u00a0Algumas teorias demonstraram estar incorretas.\u00a0Existem teorias baseadas no\u00a0<\/span><strong><span>princ\u00edpio de Bernoulli<\/span><\/strong><span>\u00a0e h\u00e1 teorias baseadas diretamente na\u00a0<\/span><strong><span>terceira lei de Newton<\/span><\/strong><span>\u00a0.<\/span><\/p>\n<p><span>A explica\u00e7\u00e3o baseada na\u00a0<\/span><strong><span>terceira lei de Newton<\/span><\/strong><span>\u00a0afirma que o levantamento \u00e9 causado por uma\u00a0<\/span><strong><span>deflex\u00e3o<\/span><\/strong><span>\u00a0do fluxo da corrente de ar atr\u00e1s do aerof\u00f3lio.\u00a0O aerof\u00f3lio gera sustenta\u00e7\u00e3o ao exercer uma for\u00e7a descendente no ar \u00e0 medida que passa.\u00a0De acordo com a terceira lei de Newton, o ar deve\u00a0<\/span><strong><span>exercer uma for\u00e7a ascendente no aerof\u00f3lio<\/span><\/strong><span>\u00a0.\u00a0Esta \u00e9 uma explica\u00e7\u00e3o muito simples.<\/span><\/p>\n<figure id=\"attachment_14242\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-14242\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Lift-Force-Bernoulli-Principle.png\"><img loading=\"lazy\" class=\"wp-image-14242 size-medium lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Lift-Force-Bernoulli-Principle-300x262.png\" alt=\"For\u00e7a de Eleva\u00e7\u00e3o - Princ\u00edpio de Bernoulli\" width=\"300\" height=\"262\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Lift-Force-Bernoulli-Principle-300x262.png\" \/><\/a><figcaption id=\"caption-attachment-14242\" class=\"wp-caption-text\"><span>De acordo com o princ\u00edpio de Bernoulli, o ar em movimento mais r\u00e1pido exerce menos press\u00e3o e, portanto, o ar deve exercer uma for\u00e7a ascendente no aerof\u00f3lio (como resultado de uma diferen\u00e7a de press\u00e3o).<\/span><\/figcaption><\/figure>\n<p><strong><span>O princ\u00edpio de Bernoulli<\/span><\/strong><span>\u00a0combinado com a\u00a0<\/span><a title=\"Equa\u00e7\u00e3o de continuidade\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-equacao-de-continuidade-definicao\/\"><strong><span>equa\u00e7\u00e3o de continuidade<\/span><\/strong><\/a><span>\u00a0tamb\u00e9m pode ser usado para determinar a for\u00e7a de sustenta\u00e7\u00e3o em um aerof\u00f3lio, se o comportamento do fluxo de fluido na vizinhan\u00e7a da pel\u00edcula for conhecido.\u00a0Nesta explica\u00e7\u00e3o, a\u00a0<\/span><strong><span>forma<\/span><\/strong><span>\u00a0de um aerof\u00f3lio \u00e9 crucial.\u00a0A forma de um aerof\u00f3lio faz com que o ar\u00a0<\/span><strong><span>flua mais rapidamente por cima<\/span><\/strong><span>\u00a0e por baixo.\u00a0De acordo com\u00a0<\/span><strong><span>o princ\u00edpio de Bernoulli<\/span><\/strong><span>\u00a0, o ar em movimento mais r\u00e1pido exerce\u00a0<\/span><strong><span>menos press\u00e3o<\/span><\/strong><span>\u00a0e, portanto, o ar deve exercer uma\u00a0<\/span><strong><span>for\u00e7a ascendente<\/span><\/strong><span>\u00a0no aerof\u00f3lio (como resultado de uma diferen\u00e7a de press\u00e3o).<\/span><\/p>\n<div class=\"su-divider su-divider-style-dotted\"><\/div>\n<\/div>\n<\/div>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-100 lgc-tablet-grid-100 lgc-mobile-grid-100 lgc-equal-heights  lgc-first lgc-last\">\n<div class=\"inside-grid-column\">\n<div class=\"su-accordion\">\n<div class=\"su-spoiler su-spoiler-style-default su-spoiler-icon-plus su-spoiler-closed\">\n<div class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\"><span>Coeficiente de eleva\u00e7\u00e3o em fun\u00e7\u00e3o do \u00e2ngulo de ataque<\/span><\/div>\n<div class=\"su-spoiler-content su-clearfix\">\n<figure id=\"attachment_14243\" class=\"wp-caption aligncenter\" aria-describedby=\"caption-attachment-14243\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Lift-Coefficient-Flaps.png\"><img loading=\"lazy\" class=\"size-full wp-image-14243 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Lift-Coefficient-Flaps.png\" alt=\"Coeficiente de eleva\u00e7\u00e3o - Abas\" width=\"699\" height=\"339\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Lift-Coefficient-Flaps.png\" \/><\/a><figcaption id=\"caption-attachment-14243\" class=\"wp-caption-text\"><\/figcaption><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"su-divider su-divider-style-dotted\"><\/div>\n<p><strong><span>O princ\u00edpio de Bernoulli<\/span><\/strong><span>\u00a0exige que o aerof\u00f3lio tenha uma\u00a0<\/span><strong><span>forma assim\u00e9trica<\/span><\/strong><span>\u00a0.\u00a0Sua \u00e1rea de superf\u00edcie deve ser\u00a0<\/span><strong><span>maior na parte superior do<\/span><\/strong><span>\u00a0que na parte inferior.\u00a0\u00c0 medida que o ar flui sobre o aerof\u00f3lio, ele \u00e9 deslocado mais pela superf\u00edcie superior do que por baixo.\u00a0De acordo com o\u00a0<\/span><a title=\"Equa\u00e7\u00e3o de continuidade\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-equacao-de-continuidade-definicao\/\"><span>princ\u00edpio<\/span><\/a><span>\u00a0da\u00a0<a title=\"Equa\u00e7\u00e3o de continuidade\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-equacao-de-continuidade-definicao\/\">continuidade<\/a>\u00a0, esse deslocamento deve levar a um\u00a0<\/span><strong><span>aumento na velocidade do fluxo<\/span><\/strong><span>\u00a0(resultando em uma diminui\u00e7\u00e3o na press\u00e3o).\u00a0A velocidade do fluxo \u00e9 aumentada um pouco pela superf\u00edcie inferior do aerof\u00f3lio, mas consideravelmente menor do que o fluxo na superf\u00edcie superior.\u00a0A for\u00e7a de sustenta\u00e7\u00e3o de um aerof\u00f3lio, caracterizada pelo\u00a0<\/span><strong><span>coeficiente de sustenta\u00e7\u00e3o<\/span><\/strong><span>\u00a0, pode ser alterada durante o v\u00f4o por altera\u00e7\u00f5es na forma de um aerof\u00f3lio.\u00a0O coeficiente de eleva\u00e7\u00e3o pode, portanto, ser duplicado com dispositivos relativamente simples (<\/span><strong><span>flaps e slats<\/span><\/strong><span>\u00a0) se usado em toda a extens\u00e3o da asa.<\/span><span>O uso\u00a0<\/span><strong><span>do princ\u00edpio<\/span><\/strong><span>\u00a0de\u00a0<strong>Bernoulli<\/strong>\u00a0pode n\u00e3o estar correto.\u00a0O princ\u00edpio de Bernoulli pressup\u00f5e\u00a0<\/span><strong><span>incompressibilidade<\/span><\/strong><span>\u00a0do ar, mas, na realidade, o ar \u00e9 facilmente compress\u00edvel.\u00a0Mas existem mais limita\u00e7\u00f5es de explica\u00e7\u00f5es baseadas no princ\u00edpio de Bernoulli.\u00a0Existem duas explica\u00e7\u00f5es populares principais sobre o elevador:<\/span><\/p>\n<ul>\n<li><span>Explica\u00e7\u00e3o baseada na deflex\u00e3o descendente do fluxo &#8211;\u00a0<\/span><strong><span>terceira lei de Newton<\/span><\/strong><\/li>\n<li><span>Explica\u00e7\u00e3o baseada em mudan\u00e7as na velocidade e press\u00e3o do fluxo &#8211;\u00a0<\/span><strong><span>Princ\u00edpio da continuidade e princ\u00edpio de Bernoulli<\/span><\/strong><\/li>\n<\/ul>\n<p><span>Ambas as explica\u00e7\u00f5es identificam corretamente alguns aspectos das for\u00e7as de sustenta\u00e7\u00e3o, mas deixam outros aspectos importantes do fen\u00f4meno inexplic\u00e1veis.\u00a0Uma explica\u00e7\u00e3o mais abrangente envolve mudan\u00e7as na velocidade do fluxo e deflex\u00e3o para baixo e requer uma an\u00e1lise mais detalhada do fluxo.<\/span><\/p>\n<p><span>Veja mais: Doug McLean,\u00a0<\/span><em><span>Entendendo a aerodin\u00e2mica: discutindo a partir da f\u00edsica real.\u00a0<\/span><\/em><span>John Wiley &amp; Sons Ltd. 2013. ISBN: 978-1119967514<\/span><\/p>\n<div class=\"su-divider su-divider-style-dotted\"><\/div>\n<\/div>\n<\/div>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-100 lgc-tablet-grid-100 lgc-mobile-grid-100 lgc-equal-heights  lgc-first lgc-last\">\n<div class=\"inside-grid-column\">\n<div class=\"su-spacer\"><\/div>\n<h2><span>Efeito de Bernoulli &#8211; Girando a bola no fluxo de ar<\/span><\/h2>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Bernoulli-Principle-Spinning-ball.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-14244 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Bernoulli-Principle-Spinning-ball.png\" alt=\"Princ\u00edpio de Bernoulli - Bola girat\u00f3ria\" width=\"557\" height=\"257\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Bernoulli-Principle-Spinning-ball.png\" \/><\/a><strong><span>O efeito de Bernoulli<\/span><\/strong><span>\u00a0tem outra conseq\u00fc\u00eancia interessante interessante.\u00a0Suponha que uma\u00a0<\/span><strong><span>bola<\/span><\/strong><span>\u00a0esteja\u00a0<\/span><strong><span>girando<\/span><\/strong><span>\u00a0enquanto viaja pelo ar.\u00a0\u00c0 medida que a bola gira, o atrito da superf\u00edcie da bola com o ar circundante arrasta uma camada fina (denominada\u00a0<\/span><strong><span>camada limite<\/span><\/strong><span>\u00a0) de ar.\u00a0Pode ser visto na figura que a camada limite est\u00e1 de um lado viajando na\u00a0<\/span><strong><span>mesma dire\u00e7\u00e3o<\/span><\/strong><span>\u00a0que a corrente de ar que flui ao redor da bola (seta superior) e, por outro lado, a camada limite est\u00e1 viajando na\u00a0<\/span><strong><span>dire\u00e7\u00e3o oposta<\/span><\/strong><span>\u00a0( a seta inferior).\u00a0No lado da bola, onde a corrente de ar e a camada limite est\u00e3o se movendo na dire\u00e7\u00e3o oposta (a seta inferior) entre si, o atrito entre as duas<\/span><strong><span>retarda a corrente de ar<\/span><\/strong><span>\u00a0.\u00a0No lado oposto, essas camadas est\u00e3o se movendo na mesma dire\u00e7\u00e3o e o\u00a0<\/span><strong><span>fluxo se move mais r\u00e1pido<\/span><\/strong><span>\u00a0.<\/span><\/p>\n<p><span>De acordo com\u00a0<\/span><strong><span>o princ\u00edpio de Bernoulli<\/span><\/strong><span>\u00a0, o ar em movimento mais r\u00e1pido exerce menos press\u00e3o e, portanto, o ar deve exercer uma for\u00e7a ascendente na bola.\u00a0De fato, neste caso, o uso do princ\u00edpio de Bernoulli pode n\u00e3o estar correto.\u00a0O princ\u00edpio de Bernoulli assume incompressibilidade do ar, mas, na realidade, o ar \u00e9 facilmente compress\u00edvel.\u00a0Mas existem mais limita\u00e7\u00f5es de explica\u00e7\u00f5es baseadas no princ\u00edpio de Bernoulli.<\/span><\/p>\n<p><span>O trabalho de Robert G. Watts e Ricardo Ferrer (as for\u00e7as laterais em uma esfera girat\u00f3ria: aerodin\u00e2mica de uma bola curva) esse efeito pode ser explicado por outro modelo que d\u00e1 uma aten\u00e7\u00e3o importante \u00e0 camada limite de ar em torno da bola.\u00a0No lado da bola onde a corrente de ar e a\u00a0<\/span><strong><span>camada limite<\/span><\/strong><span>\u00a0se movem na dire\u00e7\u00e3o oposta (seta inferior), a camada limite tende a se separar prematuramente.\u00a0No lado da bola onde o fluxo de ar e a camada limite se movem na mesma dire\u00e7\u00e3o, a camada limite carrega ainda mais a bola antes de se separar em fluxo turbulento.\u00a0Isso d\u00e1 uma\u00a0<\/span><strong><span>deflex\u00e3o do fluxo<\/span><\/strong><span>da corrente de ar em uma dire\u00e7\u00e3o atr\u00e1s da bola.\u00a0A bola em rota\u00e7\u00e3o gera sustenta\u00e7\u00e3o, exercendo uma for\u00e7a descendente no ar \u00e0 medida que flui.\u00a0De acordo com\u00a0<\/span><strong><span>a terceira lei de Newton<\/span><\/strong><span>\u00a0, o ar deve exercer uma for\u00e7a ascendente na bola.<\/span><\/p>\n<div class=\"su-divider su-divider-style-dotted\"><\/div>\n<\/div>\n<\/div>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-100 lgc-tablet-grid-100 lgc-mobile-grid-100 lgc-equal-heights  lgc-first lgc-last\">\n<div class=\"inside-grid-column\">\n<div class=\"su-spacer\"><\/div>\n<h2><span>Lei de Torricelli<\/span><\/h2>\n<figure id=\"attachment_14227\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-14227\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Torricelli-Law.png\"><img loading=\"lazy\" class=\"size-full wp-image-14227 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Torricelli-Law.png\" alt=\"Lei de Torricelli\" width=\"421\" height=\"355\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Torricelli-Law.png\" \/><\/a><figcaption id=\"caption-attachment-14227\" class=\"wp-caption-text\"><span>Fonte: wikipedia.org &#8211; CC BY-SA<\/span><\/figcaption><\/figure>\n<p><strong><span>A lei de Torricelli<\/span><\/strong><span>\u00a0, tamb\u00e9m conhecida como\u00a0<\/span><strong><span>princ\u00edpio de Torricelli<\/span><\/strong><span>\u00a0, ou\u00a0<\/span><strong><span>teorema de Torricelli<\/span><\/strong><span>\u00a0, afirma na\u00a0<\/span><a title=\"Din\u00e2mica de Fluidos\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/fluid-dynamics\/\"><span>din\u00e2mica dos fluidos<\/span><\/a><span>\u00a0que a velocidade, v, do fluido que sai de um\u00a0<\/span><strong><span>orif\u00edcio<\/span><\/strong><span>\u00a0sob a for\u00e7a da gravidade em um tanque \u00e9 proporcional \u00e0 raiz quadrada da dist\u00e2ncia vertical, h , entre a superf\u00edcie do l\u00edquido e o centro do orif\u00edcio e a raiz quadrada de duas vezes a acelera\u00e7\u00e3o causada pela gravidade (g = 9,81 N \/ kg perto da superf\u00edcie da Terra).<\/span><\/p>\n<p><span>Em outras palavras, a velocidade de efluxo do fluido do orif\u00edcio \u00e9 a mesma que teria adquirido ao cair uma altura h abaixo da gravidade.\u00a0A lei foi descoberta e nomeada em homenagem ao cientista italiano\u00a0<\/span><strong><span>Evangelista Torricelli<\/span><\/strong><span>\u00a0, em 1643. Mais tarde, mostrou-se um caso particular\u00a0<\/span><strong><span>do princ\u00edpio<\/span><\/strong><span>\u00a0de\u00a0<strong>Bernoulli<\/strong>\u00a0.<\/span><br \/>\n<a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Bernoulli-Theorem-Equation.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-14235 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Bernoulli-Theorem-Equation.png\" alt=\"Teorema de Bernoulli - Equa\u00e7\u00e3o\" width=\"346\" height=\"66\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Bernoulli-Theorem-Equation.png\" \/><\/a><\/p>\n<p><span>A\u00a0<\/span><strong><span>equa\u00e7\u00e3o de Torricelli<\/span><\/strong><span>\u00a0\u00e9 derivada para uma condi\u00e7\u00e3o espec\u00edfica.\u00a0O orif\u00edcio deve ser pequeno e a viscosidade e outras perdas devem ser ignoradas.\u00a0Se um fluido est\u00e1 fluindo atrav\u00e9s de um orif\u00edcio muito pequeno (por exemplo, no fundo de um tanque grande), a velocidade do fluido na extremidade maior pode ser negligenciada na Equa\u00e7\u00e3o de Bernoulli.\u00a0Al\u00e9m disso, a velocidade do efluxo \u00e9 independente da dire\u00e7\u00e3o do fluxo.\u00a0Nesse caso, a velocidade de efluxo do fluido que flui atrav\u00e9s do orif\u00edcio dada pela seguinte f\u00f3rmula:<\/span><\/p>\n<p><span>v = \u221a\u00a0<\/span><span>2gh<\/span><\/p>\n<\/div>\n<\/div>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-100 lgc-tablet-grid-100 lgc-mobile-grid-100 lgc-equal-heights  lgc-first lgc-last\">\n<div class=\"inside-grid-column\"><\/div>\n<\/div>\n<\/div>\n<p>&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.<\/p>\n<p>Este artigo \u00e9 baseado na tradu\u00e7\u00e3o autom\u00e1tica do artigo original em ingl\u00eas. Para mais informa\u00e7\u00f5es, consulte o artigo em ingl\u00eas. Voc\u00ea pode nos ajudar. Se voc\u00ea deseja corrigir a tradu\u00e7\u00e3o, envie-a para: translations@nuclear-power.com ou preencha o formul\u00e1rio de tradu\u00e7\u00e3o on-line. Agradecemos sua ajuda, atualizaremos a tradu\u00e7\u00e3o o mais r\u00e1pido poss\u00edvel. Obrigado.<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Princ\u00edpio de Bernoulli &#8211; Exemplos.\u00a0Exemplo de vaz\u00f5es em um reator.\u00a0Exemplo de for\u00e7as de eleva\u00e7\u00e3o.\u00a0Exemplo de bola girando no fluxo de ar.\u00a0Princ\u00edpio de Bernoulli Princ\u00edpio de Bernoulli &#8211; Exemplos Efeito de Bernoulli &#8211; Rela\u00e7\u00e3o entre press\u00e3o e velocidade \u00c9 um exemplo ilustrativo, os dados a seguir\u00a0n\u00e3o\u00a0correspondem a nenhum projeto de reator. Exemplo de vaz\u00f5es em um &#8230; <a title=\"O que \u00e9 o princ\u00edpio de Bernoulli &#8211; Exemplos &#8211; Defini\u00e7\u00e3o\" class=\"read-more\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-o-principio-de-bernoulli-exemplos-definicao\/\" aria-label=\"More on O que \u00e9 o princ\u00edpio de Bernoulli &#8211; Exemplos &#8211; Defini\u00e7\u00e3o\">Ler mais<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[14],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v15.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>O que \u00e9 o princ\u00edpio de Bernoulli - Exemplos - Defini\u00e7\u00e3o<\/title>\n<meta name=\"description\" content=\"Princ\u00edpio de Bernoulli - exemplos. Exemplo de vaz\u00f5es em um reator. Exemplo de for\u00e7as de eleva\u00e7\u00e3o. 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