Divergent nozzle problem (find velocity)

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SUMMARY

The discussion focuses on calculating the change in velocity across an ideal divergent nozzle, given an inlet enthalpy of 1,204 Btu/lbm and an exit enthalpy of 1,203.91 Btu/lbm. The calculation yields a delta v of 67.15 ft/sec based on the formula delta v^2 = (0.09 Btu/lb) * (2) * (32.2 lbm*ft/lbf sec^2) * (778 ft lbf/Btu). Additionally, participants discuss the conversion of units to SI, highlighting the importance of using the correct formulas and tools for accurate results.

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  • Understanding of thermodynamics, specifically enthalpy changes
  • Familiarity with fluid dynamics and nozzle design
  • Proficiency in unit conversion between imperial and SI units
  • Knowledge of relevant equations, such as Bernoulli's equation
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  • Research the application of Bernoulli's equation in nozzle flow analysis
  • Learn about the principles of enthalpy and its role in fluid mechanics
  • Explore advanced unit conversion techniques using online calculators
  • Investigate the characteristics of ideal vs. real nozzles in fluid systems
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Engineers, physicists, and students studying fluid dynamics or thermodynamics, particularly those involved in nozzle design and performance analysis.

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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