Calculating Heat Transfer Between 3 Mediums: Copper, Ground, Water

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Discussion Overview

The discussion focuses on calculating heat transfer between three mediums: ground, copper pipe, and water, particularly in the context of geothermal systems. Participants explore the principles of thermal dynamics and seek to quantify heat transfer rates in watts.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant inquires about the calculation of heat transfer from the ground through a copper pipe into water, providing thermal conductivities for each medium.
  • Another participant states that the amount of heat transferring from the ground equals the amount transferring through the copper pipe into the water.
  • A participant acknowledges the principle of heat conservation but seeks to quantify the transfer, questioning if using an iron pipe would result in slower heat transfer.
  • One suggestion includes consulting engineering tables and idealized formulas, noting that real-world situations may not align with theoretical models.
  • A participant reflects on the time required for water to heat up, linking it to specific heat and considering the implications of pipe wall thickness on heat transfer efficiency.

Areas of Agreement / Disagreement

Participants generally agree on the principle of heat conservation but do not reach a consensus on the specific calculations or implications of using different materials for the pipe.

Contextual Notes

Limitations include potential dependencies on specific definitions of thermal conductivity and assumptions about idealized conditions versus real-world applications.

Who May Find This Useful

Individuals interested in geothermal systems, thermal dynamics, and heat transfer calculations may find this discussion relevant.

James Brady
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I had a quick thermal dynamics question... I'm looking into geothermal systems and I was wondering how to calculate the transfer from the ground, through a copper pipe into water. I know how to calculate the heat transfer from air of different temperatures though a medium, but I do not know how to calculate the heat transfer in watts between three different mediums:

Thermal conductivities (W/m*k):

Copper: 400
Ground: 1
water: 0.58

Just wondering how to do some basic calculations, thanks.
 

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You do know that the amount of heat that transfers from the ground is equal to the amount of heat that transfers through the copper pipe and into the water.
 
Yes, I know that heat out = heat in. I'm wondering how to quantify that though. For instance, if I used an iron pipe, would that heat transfer be slower?
 
MAYBE some tips you can use here:
http://en.wikipedia.org/wiki/Ground_source_heat_pump#Thermal_efficiency

I'm guessing you will likely need some standard engineering tables for different environmental and mechanical systems. In other words, idealized formulas are probably in the realm of experts in the field and may not match real world situations easily.

NOTE the organizations mentioned in the article...
maybe they have reference material online...
 
Ok thanks. You know what I was thinking of how long it would take for the water to heat up. That's a function of specific heat, I just couldn't put my finger on it. But I should be able to turn it into a differential equation now.

Just be sure though... A larger pipe wall will result in less watts going into the fluid, correct?

Heat in = thermal conductivity*surface area*deltaT/wall thickness...?
 

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