Convective heat transfer correlations

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Discussion Overview

The discussion focuses on the differences between constant wall heat flux and constant wall temperature in the context of convective heat transfer correlations. Participants explore the implications of these boundary conditions on temperature profiles and heat transfer rates in fluid flow scenarios, particularly in pipes.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants explain that in the case of constant wall heat flux, the wall temperature increases with distance, while in constant wall temperature, the wall temperature remains unchanged.
  • It is noted that for constant wall heat flux, the temperature gradient normal to the wall is held constant, which affects the heat transfer characteristics.
  • One participant expresses confusion regarding the behavior of heat transfer coefficients and temperature differences in pipe flow under constant wall heat flux conditions, suggesting that as the heat transfer coefficient decreases, the wall temperature must increase to maintain constant heat flux.
  • A later reply confirms that the temperature difference between the wall and the average fluid temperature becomes constant, while the temperature profile remains consistent radially, with a linear increase along the length of the tube.

Areas of Agreement / Disagreement

Participants generally agree on the definitions of constant wall heat flux and constant wall temperature, but there is some uncertainty regarding the implications of these conditions on temperature profiles and heat transfer coefficients in specific scenarios.

Contextual Notes

The discussion includes assumptions about the behavior of heat transfer coefficients and temperature profiles that may depend on specific conditions not fully explored in the conversation.

Who May Find This Useful

This discussion may be useful for students and professionals interested in thermal engineering, fluid dynamics, and heat transfer analysis, particularly in applications involving convective heat transfer in pipes.

arpatil_31
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What is the difference between constant wall heat flux and constant wall temperature for convective heat transfer correlations?
 
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arpatil_31 said:
What is the difference between constant wall heat flux and constant wall temperature for convective heat transfer correlations?
Hi arpatil_31. Welcome to Physics Forums!
In the case of constant wall heat flux, the temperature at the wall is increasing with distance along the wall, while, in the case of constant wall temperature, the wall temperature is constant. In the constant wall heat flux case, the wall temperature has to increase along the wall in order to maintain the heat flux constant.
 
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It's a matter of boundary conditions, really. As was previously stated, for a constant temperature wall, the wall is held at a constant temperature. For a constant heat flux wall, the derivative of temperature normal to the wall is held constant at the wall.
 
Thanks Chestermiller and boneh3ad...
OK.
That means for constant wall temperature, wall is held at constant temperature and its heat flux (Heat transfer rate) may change.
But I am slightly confused for constant wall heat flux (For e.g. Hot fluid flows through pipe):Let us consider eqn. q= h x (dT/dy).
For pipe flow at leading edge h is higher and it goes on decreasing then after some time it becomes constant. when h becomes constant the temperature difference should becomes constant by increasing the temperature of the wall to maintain constant wall heat flux.

Am I right? If not then please elaborate it.
 
arpatil_31 said:
Thanks Chestermiller and boneh3ad...
OK.
That means for constant wall temperature, wall is held at constant temperature and its heat flux (Heat transfer rate) may change.
But I am slightly confused for constant wall heat flux (For e.g. Hot fluid flows through pipe):Let us consider eqn. q= h x (dT/dy).
For pipe flow at leading edge h is higher and it goes on decreasing then after some time it becomes constant. when h becomes constant the temperature difference should becomes constant by increasing the temperature of the wall to maintain constant wall heat flux.

Am I right? If not then please elaborate it.

Yes. The temperature difference between the wall temperature and the average fluid temperature becomes constant. The shape of the temperature profile remains constant radially, but the temperature at all radial locations increases uniformly and linearly with distance along the tube as the fluid continues to receive heat. So the temperature becomes a function of r plus a linear function of z. You should be able to use this info to easily derive a simple equation for the asymptotic heat transfer coefficient.
 
Thanks Chestermiller. Now my doubt is clear.
 

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