Aeroengines/Fluid Mechanics - Steady Flow

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Discussion Overview

The discussion revolves around a homework problem related to fluid mechanics and aeroengines, specifically focusing on the calculation of velocity in a nozzle based on given temperatures and velocities of gases. The scope includes theoretical and mathematical reasoning.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant presents a homework problem involving the calculation of velocity V9, given temperatures T5 and T9, and velocity V5, along with specific heat capacity Cp.
  • The participant expresses confusion over their calculated result of 120 m/s compared to the provided answer of 822.8 m/s, seeking assistance to identify the error.
  • Another participant points out a misunderstanding regarding the distinction between the universal gravitational constant G and the acceleration due to gravity gc, suggesting that this confusion may affect the calculations.
  • A subsequent reply acknowledges the feedback and indicates that the participant had relied on sources that conflated the two constants.
  • Further clarification is provided regarding the typical usage of G and gc in physics and engineering contexts, emphasizing their different applications and units.

Areas of Agreement / Disagreement

There appears to be a disagreement regarding the understanding of gravitational constants and their relevance to the problem at hand. The initial participant's confusion remains unresolved, and no consensus is reached on the correct interpretation of the constants.

Contextual Notes

The discussion includes potential limitations related to the interpretation of constants and their implications for the calculations, but these remain unresolved.

JRS192
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Homework Statement


See Fig.2.4a, let the gases flowing through the nozzle control volume be perfect with Cp = 1.004kJ/kg.K

Determine V9 if T5 = 1000K, T9 = 670K and V5 = 120ms^-1.

Homework Equations


I've detailed the equations in the attached pdf for clarity.

The Attempt at a Solution


See attached pdf. The question paper has the answer as 822.8m/s, but I'm consistently getting 120m/s. Where am I going wrong?

Thank you
 

Attachments

  • Fig2.4a.png
    Fig2.4a.png
    47.3 KB · Views: 553
  • doc00586420150126151206.pdf
    doc00586420150126151206.pdf
    329.4 KB · Views: 279
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You've confused the universal gravitational constant G for the acceleration due to gravity on earth, gc.
It's not clear why you don't understand the distinction between these two constants.
 
Hi SteamKing,

Thanks for that. I did some research and everything directed me to that figure, even to the point of using gc...
 
JRS192 said:
Hi SteamKing,

Thanks for that. I did some research and everything directed me to that figure, even to the point of using gc...

I doubt that. You have misinterpreted something in what you read.

The universal gravitational constant G (which is invariably capitalized) is typically used to find the force of gravitational attraction between two masses, as described by the formula

F = Gm1m2/r2

G is used more often in physics type calculations. G also has some rather unusual units: G = 6.67*10-11 m3/kg-s2

The acceleration due to gravity on earth, gc, which is invariably lower case, is typically commonly found in engineering type calculations, more so than G.
 
Thank you for your help.
 

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