Thermal resistances adding formula

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Homework Help Overview

The discussion revolves around the addition of thermal resistances in series and parallel configurations, drawing parallels to electrical resistance concepts. Participants are exploring the theoretical foundations of thermal resistance in thermodynamics.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to relate thermal resistance to electrical resistance, questioning how to apply similar formulas in thermodynamics. There is a discussion about the definitions of heat current and temperature difference as analogs to electrical concepts.

Discussion Status

Some participants have expressed understanding of the concepts, while others are still grappling with how to apply the electrical analogies to thermal resistance. There is an ongoing exploration of the relationships between heat flow and thermal resistance.

Contextual Notes

Participants note the challenge of applying electrical resistance principles to thermodynamics, highlighting the differences in the underlying concepts. There is an acknowledgment of the need to clarify units and definitions related to heat flow and thermal resistance.

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Homework Statement


Prove a rule for adding of Thermal resistances
for: A)R1 and R2 in Series
B)R1 and R2 in Parallel

Homework Equations


The Attempt at a Solution


According to the book the result should be :
A) R = R1 + R2
B) 1/R = 1/R1 + 1/R2

So i thought we can get some ideas from the theory of Electrical resistance because these formulas are similar for example here: http://www.grc.nasa.gov/WWW/k-12/airplane/ohmrser.html .
However, I don't know how to start (in Thermodynamics there is no Electric current etc., so we can hardly use Ohm´s formula like in previous case).
Thanks for help
 
Last edited:
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The thermodynamic analog of current is the Heat Current defined as the rate of flow of heat through the material and the analog of voltage is temperature difference
 
OK, thank you.
 
I get it
 
in Thermodynamics there is no Electric current etc., so we can hardly use Ohm´s formula like in previous case

Not exactly but...

heat flow = ΔT/Thermal Resistance

which is similar to

Current = ΔV/Electrical Resistance

I'll let you work out the units.
 

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