Overall rate of heat conduction for a fin

In summary, the overall rate of heat conduction for a fin is a measure of how quickly heat is transferred through the fin and is typically measured in units of watts or joules per second. It differs from other heat transfer methods in that it specifically applies to the transfer of heat through a solid object. Factors that affect the overall rate of heat conduction for a fin include the material, length, thickness, temperature difference, and surrounding environment. The rate can be increased by using materials with high thermal conductivity, increasing length and thickness, and maximizing temperature difference. However, there are limitations such as material properties, length and thickness restrictions, and maximum achievable temperature difference. The design and placement of the fin can also impact its overall rate of heat con
  • #1
theone
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Homework Statement


http://postimg.org/image/4ctgrkoop/
I don't understand the final bit, for the 'steady rate of heat transfer for the entire fin', how they went from Fourier's Law to that final expression.

Homework Equations

The Attempt at a Solution


I think it involves the previous expression but I really don't know
 
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  • #2
Do you at least understand the part of the expression involving dT/dx?

Chet
 

Related to Overall rate of heat conduction for a fin

1. What is the overall rate of heat conduction for a fin?

The overall rate of heat conduction for a fin is the measure of how quickly heat is transferred through the fin. It is typically measured in units of watts (W) or joules per second (J/s).

2. How does the overall rate of heat conduction for a fin differ from other heat transfer methods?

The overall rate of heat conduction for a fin is specific to the transfer of heat through a solid object, such as a fin. Other heat transfer methods, such as convection and radiation, involve the transfer of heat through fluids or electromagnetic waves, respectively.

3. What factors affect the overall rate of heat conduction for a fin?

The overall rate of heat conduction for a fin is affected by several factors, including the material of the fin, its length and thickness, the temperature difference between the two ends of the fin, and the surrounding environment.

4. How can the overall rate of heat conduction for a fin be increased?

The overall rate of heat conduction for a fin can be increased by using materials with high thermal conductivity, increasing the length and thickness of the fin, and maximizing the temperature difference between the two ends of the fin. Additionally, fins can be designed with a larger surface area or incorporate features such as fins or pins to increase the rate of heat transfer.

5. Are there any limitations to the overall rate of heat conduction for a fin?

Yes, there are limitations to the overall rate of heat conduction for a fin. These include the properties of the material used for the fin, the length and thickness limitations, and the maximum temperature difference that can be achieved. Additionally, the design and placement of the fin can also impact its overall rate of heat conduction.

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