Divergent nozzle problem (find velocity)

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To determine the change in velocity across an ideal divergent nozzle, the inlet enthalpy is 1,204 Btu/lbm and the exit enthalpy is 1,203.91 Btu/lbm. The calculation shows that the change in velocity squared is 4,509.29 ft²/sec², resulting in a velocity change of 67.15 ft/sec. For conversion to SI units, the initial steps involve using the enthalpy values in kJ/kg, leading to a calculated value of 4.1202. However, additional information is needed to find the initial velocity (v1) for a complete solution. Utilizing online calculators can assist in unit conversions effectively.
eulerpi
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Determine change in velocity across ideal divergent nozzle with inlet enthalpy of 1,204 Btu/lbm and exit enthalpy of 1,203.91 Btu/lbm

I know that delta v^2=(.09btu/lb)*(2)*(32.2lbm*ft/lbf sec^2)(778ftlbf/btu)

so: deltav^2=4509.29ft^2/sec^2

taking the sqrt deltav=67.15ft/sec

My problem is this: I need to convert the above problem to SI units

So far: (.21kj/kg)*(2)*(9.81m/sec^2)=4.1202

Any help would be appreciated!

Ken
 
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Well, for starters, you want

h1-h2 = .5*(v2^2 - v1^2)

http://members.aol.com/ricnakk/th_nozz.html

Unfortunately for you, (v2^2-v1^2) is not equal to (v2-v1)^2. So I don't see how you can work the problem without more information, enough to determine v1.

As far as converting units, I like google calculator, for example

http://www.google.com/search?hl=en&lr=&q=btu+%2F+pound&btnG=Search
http://www.google.com/search?hl=en&q=btu+in+joules&btnG=Google+Search

(you can click on 'more about calculator to get some more help).

The documentation isn't the best, but Google thinks of a pound as a mass, and a pound force as a force.

The default output of the calculator is the value of the input in SI units, BTW.
 
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