Heat Transfer in Metal Tank: Time to Drop from θ2 to θ1

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SUMMARY

The discussion focuses on calculating the time required for the temperature of a metal tank to drop from θ2 to θ1, considering factors such as tank dimensions, material properties, and heat transfer coefficients. Key parameters include the surface area of the tank, the temperature difference, and the heat transfer coefficient, which varies significantly based on insulation. The conversation emphasizes the complexity of determining the heat transfer coefficient, suggesting experimental measurement or manufacturer data as essential methods. Recommended resources include introductory heat transfer textbooks covering "unsteady" or "transient" one-dimensional heat transfer, Biot number, and Heisler charts.

PREREQUISITES
  • Understanding of heat transfer principles, specifically transient heat transfer.
  • Familiarity with Biot number and its significance in heat transfer analysis.
  • Knowledge of Heisler charts for solving heat transfer problems.
  • Basic concepts of convection and conduction in thermal systems.
NEXT STEPS
  • Study "unsteady" or "transient" one-dimensional heat transfer in heat transfer textbooks.
  • Research the Biot number and its application in thermal analysis.
  • Explore Heisler charts for approximating heat transfer in various geometries.
  • Conduct experimental measurements to determine the heat transfer coefficient for specific tank designs.
USEFUL FOR

Engineers, thermal physicists, and students involved in heat transfer analysis, particularly those working with metal tanks and thermal systems.

Thatrandomdudeacross
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I'm trying to find a heat transfer equation that includes time. Metal tank, partially filled with liquid. I need to find the time it would take for the temperature on the outside of the tank to drop from θ2 to θ1, given thickness, metal and liquid's properties, and tank dimensions
 
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The most important parameters are surface area of the tank, temperature difference in and out, and heat transfer coefficient.

The heat transfer coefficient is small for well insulated walls, and large for no insulation and thin walls. It is very difficult to calculate. Typically, you would need to measure it by experiment, or to get a value from the manufacturer of the tank.
 
anorlunda said:
The most important parameters are surface area of the tank, temperature difference in and out, and heat transfer coefficient.

The heat transfer coefficient is small for well insulated walls, and large for no insulation and thin walls. It is very difficult to calculate. Typically, you would need to measure it by experiment, or to get a value from the manufacturer of the tank.
Thank you for the reply
The tank is not purchased; it was made in our student machine shop. Assuming I have the coefficient, how would I go on from there?
 
Any introductory heat transfer textbook, look for: "unsteady" or "transient" one-dimensional heat transfer; Biot number; Heisler charts.

This problem can be solved approximately or in any amount of detail as needed.
 
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gmax137 said:
Any introductory heat transfer textbook, look for: "unsteady" or "transient" one-dimensional heat transfer; Biot number; Heisler charts.

This problem can be solved approximately or in any amount of detail as needed.
Thank you!
 
Thatrandomdudeacross said:
Assuming I have the coefficient, how would I go on from there?
There is not really a single "coefficient" for this because the problem is very complex. You need to know the effect of convection inside the tank, conduction through the walls of the tank and convection of the air outside the tank. You should be aware of this before you look for a simple answer to your problem.
Try this link and a textbook about thermal physics. The best way to an answer would be to do experimental measurements. These would not be too hard if the tank is not too big and if you have a supply of water at various temperatures - and plenty of time.
 

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