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: <math>Q = A(\rho P)^{1/2}</math>
Metric: &nbsp; '''Q = A ( <i>p</i> P )<sup>1/2</sup>'''


U.S.: <math> Q = A(g_c\rho P)^{1/2}</math>
U.S.: &nbsp; '''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 &nbsp; &nbsp; 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> • lb / ft<sup>2</sup> ]<sup>1/2</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 16:01, 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