Navier-Stokes equations - Revision history

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

2016-07-13T16:30:52Z

‎top: clean up & uniformity

SamHB: Revert damage. I'll have more to say about this soon.

2015-09-15T05:28:36Z

Revert damage. I'll have more to say about this soon.

VargasMilan: Undo revision 1170691 by MarkLilly (talk) Mass reversion of troll

2015-09-14T02:01:21Z

Undo revision 1170691 by MarkLilly (talk) Mass reversion of troll

MarkLilly: Incompressible flow section : $\boldsymbol \tau = \mu (\nabla\mathbf{u} + ( \nabla\mathbf{u} )^\mathrm{T})$

2015-09-13T00:43:21Z

Incompressible flow section : <math>\boldsymbol \tau = \mu (\nabla\mathbf{u} + ( \nabla\mathbf{u} )^\mathrm{T})</math>

CPalmer: cat

2011-11-04T16:35:48Z

cat

PhyllisS at 20:36, August 15, 2010

2010-08-15T20:36:21Z

PhyllisS at 20:36, August 15, 2010

2010-08-15T20:36:04Z

PhyllisS: Created page with 'The Navier-Stokes equation is an equation in fluid mechanics that states: $\rho \frac{D \mathbf{V}}{D t} = -\nabla p + \mu \nabla^2 \mathbf{V} + \rho \m…'$

2010-08-15T20:34:52Z

Created page with 'The Navier-Stokes equation is an equation in fluid mechanics that states: <math>\rho \frac{D \mathbf{V}}{D t} = -\nabla p + \mu \nabla^2 \mathbf{V} + \rho \m…'

New page

The Navier-Stokes equation is an equation in [[Fluid mechanics|fluid mechanics]] that states:

<math>\rho \frac{D \mathbf{V}}{D t} = -\nabla p + \mu \nabla^2 \mathbf{V} + \rho \mathbf{g}</math>

where <math>\nabla p</math> is the pressure difference (expressed as the partial derivative of pressure in each dimension), <math>\frac{D \mathbf{V}}{D t}</math> is the total derivative of velocity, <math>\mu</math> is the kinematic viscosity of the fluid, <math>\rho</math> is the density of the fluid, and <math>\mathbf{g}</math> is the gravitational acceleration. <ref>A.J. Smits, "A Physical Introduction to Fluid Mechanics," John Wiley & Sons, ISBN 0-471-25349-9</ref>

== References ==
<references></references>

@@ Line 1: / Line 1: @@
-The Navier-Stokes equation is an equation in [[Fluid mechanics|fluid mechanics]] that states:
+The Navier-Stokes equation is an equation in [[fluid mechanics]] that states:
 <math>\rho \frac{D \mathbf{V}}{D t} = -\nabla p + \mu \nabla^2 \mathbf{V} + \rho \mathbf{g}</math>
-where <math>\nabla p</math> is the pressure difference (expressed as the partial derivative of pressure in each dimension), <math>\frac{D \mathbf{V}}{D t}</math> is the total derivative of velocity, <math>\mu \,</math> is the kinematic viscosity of the fluid, <math>\rho \,</math> is the density of the fluid, and <math>\mathbf{g}</math> is the gravitational acceleration. <ref>A.J. Smits, "A Physical Introduction to Fluid Mechanics," John Wiley & Sons, ISBN 0-471-25349-9</ref>
+where <math>\nabla p</math> is the pressure difference (expressed as the partial derivative of pressure in each dimension), <math>\frac{D \mathbf{V}}{D t}</math> is the total derivative of velocity, <math>\mu \,</math> is the kinematic viscosity of the fluid, <math>\rho \,</math> is the density of the fluid, and <math>\mathbf{g}</math> is the gravitational acceleration.<ref>A.J. Smits, "A Physical Introduction to Fluid Mechanics," John Wiley & Sons, ISBN 0-471-25349-9</ref>
 == In Incompressible flow ==

@@ Line 6: / Line 6: @@
 where <math>\nabla p</math> is the pressure difference (expressed as the partial derivative of pressure in each dimension), <math>\frac{D \mathbf{V}}{D t}</math> is the total derivative of velocity, <math>\mu \,</math> is the kinematic viscosity of the fluid, <math>\rho \,</math> is the density of the fluid, and <math>\mathbf{g}</math> is the gravitational acceleration. <ref>A.J. Smits, "A Physical Introduction to Fluid Mechanics," John Wiley & Sons, ISBN 0-471-25349-9</ref>
 == References ==
 <references></references>
 [[Category:Mathematics]]

@@ Line 6: / Line 6: @@
 where <math>\nabla p</math> is the pressure difference (expressed as the partial derivative of pressure in each dimension), <math>\frac{D \mathbf{V}}{D t}</math> is the total derivative of velocity, <math>\mu \,</math> is the kinematic viscosity of the fluid, <math>\rho \,</math> is the density of the fluid, and <math>\mathbf{g}</math> is the gravitational acceleration. <ref>A.J. Smits, "A Physical Introduction to Fluid Mechanics," John Wiley & Sons, ISBN 0-471-25349-9</ref>
 == References ==
 <references></references>
 [[Category:Mathematics]]

@@ Line 6: / Line 6: @@
 where <math>\nabla p</math> is the pressure difference (expressed as the partial derivative of pressure in each dimension), <math>\frac{D \mathbf{V}}{D t}</math> is the total derivative of velocity, <math>\mu \,</math> is the kinematic viscosity of the fluid, <math>\rho \,</math> is the density of the fluid, and <math>\mathbf{g}</math> is the gravitational acceleration. <ref>A.J. Smits, "A Physical Introduction to Fluid Mechanics," John Wiley & Sons, ISBN 0-471-25349-9</ref>
 == References ==
 <references></references>
 [[Category:Mathematics]]

← Older revision		Revision as of 16:35, November 4, 2011
Line 9:		Line 9:
	== References ==		== References ==
	<references></references>		<references></references>
		+	[[Category:Mathematics]]

← Older revision		Revision as of 20:36, August 15, 2010
Line 1:		Line 1:
	The Navier-Stokes equation is an equation in [[Fluid mechanics\|fluid mechanics]] that states:		The Navier-Stokes equation is an equation in [[Fluid mechanics\|fluid mechanics]] that states:
		+

	<math>\rho \frac{D \mathbf{V}}{D t} = -\nabla p + \mu \nabla^2 \mathbf{V} + \rho \mathbf{g}</math>		<math>\rho \frac{D \mathbf{V}}{D t} = -\nabla p + \mu \nabla^2 \mathbf{V} + \rho \mathbf{g}</math>

Navier-Stokes equations - Revision history

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

SamHB: Revert damage. I'll have more to say about this soon.

VargasMilan: Undo revision 1170691 by MarkLilly (talk) Mass reversion of troll

MarkLilly: Incompressible flow section : \boldsymbol \tau = \mu (\nabla\mathbf{u} + ( \nabla\mathbf{u} )^\mathrm{T})

CPalmer: cat

PhyllisS at 20:36, August 15, 2010

PhyllisS at 20:36, August 15, 2010

PhyllisS: Created page with 'The Navier-Stokes equation is an equation in fluid mechanics that states: \rho \frac{D \mathbf{V}}{D t} = -\nabla p + \mu \nabla^2 \mathbf{V} + \rho \m…'

MarkLilly: Incompressible flow section : $\boldsymbol \tau = \mu (\nabla\mathbf{u} + ( \nabla\mathbf{u} )^\mathrm{T})$

PhyllisS: Created page with 'The Navier-Stokes equation is an equation in fluid mechanics that states: $\rho \frac{D \mathbf{V}}{D t} = -\nabla p + \mu \nabla^2 \mathbf{V} + \rho \m…'$