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===Standard fluid dynamics notation=== | |||
In standard fluid dynamics notation:<ref name=Kirby>{{cite book | author=Kirby, B.J. | title=Micro- and Nanoscale Fluid Mechanics: Transport in Microfluidic Devices.| url=http://www.kirbyresearch.com/textbook| year=2010| publisher=Cambridge University Press| isbn=978-0-521-11903-0}}</ref><ref name=Bruus>{{cite book | author=Bruus, H. | title=Theoretical Microfluidics | year= 2007}}</ref> | |||
:<math> \Delta P = \frac{8 \mu L Q}{ \pi r^4} </math> | |||
| | or | ||
| | :<math> \Delta P = \frac{128 \mu L Q}{ \pi d^4}</math> | ||
| | or | ||
| | |||
< | |||
{ | <math> \Delta P = \frac{32 \mu L v}{ \ d^2}</math> | ||
where: | |||
:<math>\Delta P </math> is the pressure loss | |||
:<math>L</math> is the length of pipe | |||
:<math> \mu </math> is the [[dynamic viscosity]] | |||
:<math>Q</math> is the [[volumetric flow rate]] | |||
:<math>r</math> is the [[radius]] | |||
:<math>d</math> is the [[diameter]] | |||
:[[pi|<math> \pi </math>]] is the mathematical constant [[Pi]] | |||
:<math>v</math> is the [[velocity]] | |||
< | |||
< | |||
</ | |||
Revision as of 16:37, 9 November 2015
Standard fluid dynamics notation
In standard fluid dynamics notation:[1][2]
- <math> \Delta P = \frac{8 \mu L Q}{ \pi r^4} </math>
or
- <math> \Delta P = \frac{128 \mu L Q}{ \pi d^4}</math>
or
<math> \Delta P = \frac{32 \mu L v}{ \ d^2}</math>
where:
- <math>\Delta P </math> is the pressure loss
- <math>L</math> is the length of pipe
- <math> \mu </math> is the dynamic viscosity
- <math>Q</math> is the volumetric flow rate
- <math>r</math> is the radius
- <math>d</math> is the diameter
- <math> \pi </math> is the mathematical constant Pi
- <math>v</math> is the velocity