Heat gain (or Loss) in steady state from Metal Rod

In summary, the problem involves a metal rod with specific dimensions and a material with known thermal conductivity and surface heat transfer coefficient. The rod is placed between two hot walls with different temperatures and an ambient temperature is also given. The goal is to calculate the heat gain or loss from each wall and the heat loss from the curved surface of the rod to the surrounding. This is a problem related to heat transfer and may require some knowledge in the subject.
  • #1
tiziana
Hello,
I got this problem but I don't know How can Find Heat loss (or gain) - Q3 - from the curved surface of the metal rod to the surrounding.

This is the problem:

A metal rod, of diameter (d) and length (L), runs between two hot walls at temperatures, T1 (Wall
1) and T2 (Wall 2), respectively. Let the thermal conductivity of the material of the rod be k, the
surface heat transfer coefficient be h, and the ambient temperature be Ta.
If d = 0.05 m, L = 0.3 m, T1 = 300 oC, T2 = 100 oC, Ta = 20 oC, k = 50 W/m/ oC, h = 40 W/m2/ oC,

Calculate the heat gain (or loss) by the metal rod from wall 1 (Q1) and wall 2 (Q2) as well
as the heat loss from the curved surface of the metal rod to the surrounding (Q3).

Could you explain me that? Thank you
 
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  • #2
Is this a homework problem ? If so please repost in the homework section using the template supplied .

The problem itself should not be too difficult to solve . What is your level of knowledge regarding heat transfer ? Have you done any undergraduate courses dealing with the subject ?
 

1. How does the material of the metal rod affect heat gain or loss in steady state?

The material of the metal rod plays a significant role in determining the rate of heat gain or loss in steady state. Materials with high thermal conductivity, such as copper or aluminum, will transfer heat more quickly than materials with low thermal conductivity, such as stainless steel or brass. Therefore, the material of the metal rod will impact the overall heat transfer process.

2. What is the relationship between the length of the metal rod and heat gain or loss in steady state?

The length of the metal rod directly affects the rate of heat gain or loss in steady state. Longer metal rods will have a larger surface area, which allows for more heat to be transferred. As a result, longer metal rods will experience a higher rate of heat gain or loss compared to shorter metal rods.

3. How does the temperature difference between the metal rod and its surroundings impact heat gain or loss in steady state?

The greater the temperature difference between the metal rod and its surroundings, the higher the rate of heat gain or loss in steady state. This is because heat flows from areas of high temperature to areas of low temperature. Therefore, a larger temperature difference will result in a faster transfer of heat.

4. What is the role of surface area in heat gain or loss in steady state from a metal rod?

The surface area of a metal rod is directly related to the rate of heat gain or loss in steady state. A larger surface area allows for more heat to be transferred, resulting in a higher rate of heat gain or loss. This is why longer metal rods or those with rougher surfaces will experience a faster transfer of heat compared to shorter metal rods or those with smoother surfaces.

5. How does the method of insulation affect heat gain or loss in steady state from a metal rod?

The method of insulation used for a metal rod can greatly impact the rate of heat gain or loss in steady state. Insulation materials with high thermal resistance, such as fiberglass or mineral wool, will reduce the rate of heat transfer, resulting in lower heat gain or loss. On the other hand, poor insulation, such as air or water, will allow for a faster transfer of heat and higher rates of heat gain or loss.

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