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Ambient temperature of exhaust shaft Smile
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Posted by: maverickai ®

12/13/2007, 05:50:53

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I need to know the temperature of the ambient air of an exhaust shaft after the generator exhaust has been piped and exhaust into it.

I have these figures:
1) generator exhaust temperature
2) exhaust flow rate
3) shaft cross section
4) shaft length

What is the formula or theoretical method to be able to estimate the ambient temperature? Issit thermodynamics 2nd law?If yes, I would have no clue how to apply it.

Hope anyone can help.








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: Ambient temperature of exhaust shaft
: Ambient temperature of exhaust shaft -- maverickai Post Reply Top of thread Forum
Posted by: zekeman ®

12/15/2007, 18:04:54

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You don't mean "ambient" temperature of a shaft. A shaft does not have ambient temperature. Outside air has ambient temperature. What do you mean?
A better explanation or a drawing might be helpful







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: : Ambient temperature of exhaust shaft -- zekeman Post Reply Top of thread Forum
Posted by: Kelly Bramble ®

12/16/2007, 09:08:57

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I suspect maverickai is asking how to calculate the operating steady state temperature of the exhaust pipe after the engine is at operating temperature.

The best equation I am aware of is:

Three calibrated thermocouples (or thermisters) placed in key locations and measured with calibrated equipment.

Not to short you on an equation, however this is the fastest and most accurate method I know of for determining actual system operating temperature with a boat-load of data and drawings.







Modified by Kelly Bramble at Sun, Dec 16, 2007, 09:09:51


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Posted by: zekeman ®

12/17/2007, 09:47:41

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If that's the case , then
the differential equation is
Q*c *dT/dx =h*2*pi*r(To-T)
where
T= temperature of gas and wall, assuming much higher heat ransfer from gas to wall than from wall to outside air
To = outside air temp, deg F
Q=mass flow rate lbs/hr
c= specific heat of gases
h= heat transfer outside to pipe wall, BTU/HRFTdegF, use 3 for hot pipe
r= radius of pipe in feet
First order ODE solution is
T-To= (Te-To)*e^-lambda*x
where
Te= exhaust temp, deg F
lamda=2pi*r*h/Qc







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