Fluid dynamics - Revision history

Dataclarifier: linked dynamics

2019-07-05T16:17:48Z

linked dynamics

DavidB4-bot: /* top */clean up & uniformity

2016-07-13T13:02:24Z

top: clean up & uniformity

Dvergne at 05:43, November 2, 2012

2012-11-02T05:43:03Z

Ed Poor: Newton's second law

2010-09-28T20:17:20Z

Newton's second law

Neuschwanstein: Euler equation added; I might try to expand the article a bit: Navier-Stokes equation, Bernoulli equations and their consequences, and so on. Nothing too fancy... I will also add references.

2010-02-25T16:49:24Z

Euler equation added; I might try to expand the article a bit: Navier-Stokes equation, Bernoulli equations and their consequences, and so on. Nothing too fancy... I will also add references.

ChrisZ: proper wiki-link: "Gas"

2009-07-30T22:08:12Z

proper wiki-link: "Gas"

GregLarson: categorize

2007-10-24T01:56:03Z

categorize

PhilipB: New page: The study of how fluids move. Fluids include water and gases (such as air).http://virtualskies.arc.nasa.gov/glossary/F.html ==References==

2007-10-05T12:55:59Z

New page: The study of how fluids move. Fluids include water and gases (such as air).<ref>http://virtualskies.arc.nasa.gov/glossary/F.html</ref> ==References== <references/>

New page

The study of how [[fluid]]s move. Fluids include [[water]] and [[gases]] (such as [[air]]).<ref>http://virtualskies.arc.nasa.gov/glossary/F.html</ref>

==References==
<references/>

← Older revision		Revision as of 16:17, July 5, 2019
Line 1:		Line 1:
−	'''Fluid dynamics''' is the study of how [[fluid]]s move. Fluids include [[water]] and [[gas]]es (such as [[air]]).<ref>http://virtualskies.arc.nasa.gov/glossary/F.html</ref> Fluid dynamics is also known as continuum mechanics, as fluids cannot be treated as point objects; [[Classical mechanics#Newton.27s Three Laws\|Newton's second law]] thus becomes Euler equation	+	'''Fluid [[dynamics]]''' is the study of how [[fluid]]s move. Fluids include [[water]] and [[gas]]es (such as [[air]]).<ref>http://virtualskies.arc.nasa.gov/glossary/F.html</ref> Fluid dynamics is also known as continuum mechanics, as fluids cannot be treated as point objects; [[Classical mechanics#Newton.27s Three Laws\|Newton's second law]] thus becomes Euler equation

	<math>\frac{D\mathbf{u}}{Dt} = - \frac{1}{\rho}\nabla p + \mathbf{g},</math>		<math>\frac{D\mathbf{u}}{Dt} = - \frac{1}{\rho}\nabla p + \mathbf{g},</math>

← Older revision		Revision as of 13:02, July 13, 2016
Line 1:		Line 1:
−	'''Fluid dynamics''' is the study of how [[fluid]]s move. Fluids include [[water]] and [[~~Gas\|gases~~]] (such as [[air]]).<ref>http://virtualskies.arc.nasa.gov/glossary/F.html</ref> Fluid dynamics is also known as continuum mechanics, as fluids cannot be treated as point objects; [[~~Classical_mechanics~~#Newton.~~27s_Three_Laws~~\|Newton's second law]] thus becomes Euler equation	+	'''Fluid dynamics''' is the study of how [[fluid]]s move. Fluids include [[water]] and [[gas]]es (such as [[air]]).<ref>http://virtualskies.arc.nasa.gov/glossary/F.html</ref> Fluid dynamics is also known as continuum mechanics, as fluids cannot be treated as point objects; [[Classical mechanics#Newton.27s Three Laws\|Newton's second law]] thus becomes Euler equation

	<math>\frac{D\mathbf{u}}{Dt} = - \frac{1}{\rho}\nabla p + \mathbf{g},</math>		<math>\frac{D\mathbf{u}}{Dt} = - \frac{1}{\rho}\nabla p + \mathbf{g},</math>

@@ Line 5: / Line 5: @@
 where <math>\rho</math> is the [[density]] of the fluid, '''u''' its velocity and '''g''' the gravitational acceleration. The [[operator]] <math>D/Dt = \partial/\partial t + (\mathbf{u}\cdot\nabla)</math> is the convective derivative, the rate of change of a certain quantity ''A(t)'' of the fluid as it is carried by the fluid (hence the presence of '''u'''). Euler equation is then a differential operation explicitly relating the effects of the gravity and the gradient of pressure on the velocity of the fluid.
-As long as the [[speed of sound]] is much larger than '''u''', the density <math>\rho</math> of the fluid can be considered as constant (incompressible).
+As long as the [[speed of sound]] is much larger than '''u''', the density <math>\rho</math> of the fluid can assumed to be constant (incompressible) in most situations.
 ==References==

← Older revision		Revision as of 20:17, September 28, 2010
Line 1:		Line 1:
−	'''Fluid dynamics''' is the study of how [[fluid]]s move. Fluids include [[water]] and [[Gas\|gases]] (such as [[air]]).<ref>http://virtualskies.arc.nasa.gov/glossary/F.html</ref> Fluid dynamics is also known as continuum mechanics, as fluids cannot be treated as point objects; [[Newton]]'s second law thus becomes Euler equation	+	'''Fluid dynamics''' is the study of how [[fluid]]s move. Fluids include [[water]] and [[Gas\|gases]] (such as [[air]]).<ref>http://virtualskies.arc.nasa.gov/glossary/F.html</ref> Fluid dynamics is also known as continuum mechanics, as fluids cannot be treated as point objects; [[Classical_mechanics#Newton.27s_Three_Laws\|Newton's second law]] thus becomes Euler equation

	<math>\frac{D\mathbf{u}}{Dt} = - \frac{1}{\rho}\nabla p + \mathbf{g},</math>		<math>\frac{D\mathbf{u}}{Dt} = - \frac{1}{\rho}\nabla p + \mathbf{g},</math>

← Older revision		Revision as of 16:49, February 25, 2010
Line 1:		Line 1:
−	'''Fluid dynamics''' is the study of how [[fluid]]s move. Fluids include [[water]] and [[Gas\|gases]] (such as [[air]]).<ref>http://virtualskies.arc.nasa.gov/glossary/F.html</ref>	+	'''Fluid dynamics''' is the study of how [[fluid]]s move. Fluids include [[water]] and [[Gas\|gases]] (such as [[air]]).<ref>http://virtualskies.arc.nasa.gov/glossary/F.html</ref> Fluid dynamics is also known as continuum mechanics, as fluids cannot be treated as point objects; [[Newton]]'s second law thus becomes Euler equation
		+
		+	<math>\frac{D\mathbf{u}}{Dt} = - \frac{1}{\rho}\nabla p + \mathbf{g},</math>
		+
		+	where <math>\rho</math> is the [[density]] of the fluid, '''u''' its velocity and '''g''' the gravitational acceleration. The [[operator]] <math>D/Dt = \partial/\partial t + (\mathbf{u}\cdot\nabla)</math> is the convective derivative, the rate of change of a certain quantity ''A(t)'' of the fluid as it is carried by the fluid (hence the presence of '''u'''). Euler equation is then a differential operation explicitly relating the effects of the gravity and the gradient of pressure on the velocity of the fluid.
		+
		+	As long as the [[speed of sound]] is much larger than '''u''', the density <math>\rho</math> of the fluid can be considered as constant (incompressible).

	==References==		==References==

← Older revision		Revision as of 22:08, July 30, 2009
Line 1:		Line 1:
−	'''Fluid dynamics''' is the study of how [[fluid]]s move. Fluids include [[water]] and [[gases]] (such as [[air]]).<ref>http://virtualskies.arc.nasa.gov/glossary/F.html</ref>	+	'''Fluid dynamics''' is the study of how [[fluid]]s move. Fluids include [[water]] and [[Gas\|gases]] (such as [[air]]).<ref>http://virtualskies.arc.nasa.gov/glossary/F.html</ref>

	==References==		==References==

@@ Line 1: / Line 1: @@
-The study of how [[fluid]]s move. Fluids include [[water]] and [[gases]] (such as [[air]]).<ref>http://virtualskies.arc.nasa.gov/glossary/F.html</ref>
+'''Fluid dynamics''' is the study of how [[fluid]]s move. Fluids include [[water]] and [[gases]] (such as [[air]]).<ref>http://virtualskies.arc.nasa.gov/glossary/F.html</ref>
 ==References==
 <references/>