User:Milton Beychok/Gallery Subpages: Difference between revisions
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The only difference between the the metric units version and the U.S. customary units version is in these terms: | The only difference between the the metric units version and the U.S. customary units version is in these terms: | ||
Metric: | Metric: '''Q = A ( <i>p</i> P )<sup>1/2</sup>''' | ||
U.S.: | U.S.: '''Q = A ( g<sub>c</sub> <i>p</i> P)<sup>1/2</sup>''' | ||
All of the other terms are dimensionless. | All of the other terms are dimensionless. | ||
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'''Metric units:''' | '''Metric units:''' | ||
Q = m<sup>2</sup> [ kg / m<sup>3</sup> • kg / (m•s<sup>2</sup>) ]<sup>1/2</sup> = m<sup>2</sup> [ kg<sup>2</sup> / ( m<sup>4</sup>•s<sup>2</sup>) ]<sup>1/2</sup> = kg / s | Q = m<sup>2</sup> [ kg/m<sup>3</sup> • kg/(m•s<sup>2</sup>) ]<sup>1/2</sup> = m<sup>2</sup> [ kg<sup>2</sup>/( m<sup>4</sup>•s<sup>2</sup>) ]<sup>1/2</sup> = kg/s Note that P = Pascal = kg/(m•s<sup>2</sup>) | ||
'''U.S. units:''' | '''U.S. units:''' | ||
Q = ft<sup>2</sup> [ ft / s<sup>2</sup> • lb / ft<sup>3</sup> • | Q = ft<sup>2</sup> [ ft/s<sup>2</sup> • lb/ft<sup>3</sup> • lb/ft<sup>2</sup> ]<sup>1/2</sup> = ft<sup>2</sup> [ lb<sup>2</sup>/(s<sup>2</sup> • ft<sup>4</sup> ]<sup>1/2</sup> = lb/s | ||
Revision as of 15:01, 4 February 2010
CHOKED FLOW EQUATION dimensional units:
The only difference between the the metric units version and the U.S. customary units version is in these terms:
Metric: Q = A ( p P )1/2
U.S.: Q = A ( gc p P)1/2
All of the other terms are dimensionless.
Metric units:
Q = m2 [ kg/m3 • kg/(m•s2) ]1/2 = m2 [ kg2/( m4•s2) ]1/2 = kg/s Note that P = Pascal = kg/(m•s2)
U.S. units:
Q = ft2 [ ft/s2 • lb/ft3 • lb/ft2 ]1/2 = ft2 [ lb2/(s2 • ft4 ]1/2 = lb/s