Boundary conditions for temperature distribution

AI Thread Summary
Boundary conditions for temperature distribution in a flowing viscous fluid in a pipe define how temperature changes at specific locations. In this case, T = T1 at the pipe wall (r = R) for x > 0 indicates that the wall temperature is T1 after the fluid enters the pipe. Conversely, T = T0 at x = 0 for r < R signifies that the fluid entering the pipe has a temperature of T0. The discussion highlights a discontinuity in temperature at the boundary where the fluid meets the pipe wall. Understanding these conditions is crucial for accurately modeling heat transfer in fluid dynamics.
Wisam
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Hi there

Can anyone tell what is the meaning of boundary conditions for temperature distribution in a flowing viscous fluid in a pipe ?
for example I need some one explane for me this:
T = T1 at r = R, x<0
T = T0 at x = 0, r<R
where T1 is a temperature of well and T0 is a temperature of fluid entering the pipe .
 
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Wisam said:
Hi there

Can anyone tell what is the meaning of boundary conditions for temperature distribution in a flowing viscous fluid in a pipe ?
for example I need some one explane for me this:
T = T1 at r = R, x<0
T = T0 at x = 0, r<R
where T1 is a temperature of well and T0 is a temperature of fluid entering the pipe .
I think you mean: T = T1 at r = R, x>0.

What they're saying is that the tube wall and the fluid temperatures are both T0 for x<0, and that the tube wall temperature suddenly rises discontinuously to T1 at x = 0, and stays at that value for all x > 0.

Chet
 
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