Rate of heat flux from from hot gas in a pipe to water outside

AI Thread Summary
The discussion focuses on calculating the rate of heat flux from hot gas in a pipe to surrounding water. The participant has successfully derived an equation for temperature distribution, T(x) - T0 = (T1 - T0)e^(-Φx/fc), where f is defined as fm. They seek guidance on how to derive the expression for heat transfer coefficient H. The conversation highlights the importance of understanding radial heat flow in a pipe section. The participant later confirms they have obtained the answer to their query.
phantomvommand
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Homework Statement
Please see the picture below
Relevant Equations
Rate of heat conduction = constant
Screenshot 2021-03-13 at 12.33.29 PM.png

I have solved the first 2 parts.
For the 3rd part, I have obtained the equation:
T(x) - T0 = (T1 - T0)e^(-Φx/fc), where f = fm in the question.

How do I obtain that expression for H?

Thank you!
 
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Consider a section of pipe (x, x+dx). What is the rate of radial flow of heat there?
 
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haruspex said:
Consider a section of pipe (x, x+dx). What is the rate of radial flow of heat there?
Thank you so much for this! I have now obtained the answer
 

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