Question on heat transfer of a plane wall

In summary, the problem asks for the rate of heat conduction through a plane wall with given dimensions and temperature differences, using the thermal conductivity values at 0 oC and 93.3 oC.
  • #1
sero2000
27
0

Homework Statement



A plane wall of 152 mm thickness has surface area of 2.32 m2. One side of the wall is kept at 82.2 oC, and the other side at 4.4 oC. The thermal conductivity of the wall material is 0.036 W/m.K at 0 oC, and that at 93.3 oC is 0.055 W/m.K. Calculate the rate of heat conduction through the wall

Homework Equations



Q= ∆T/R

The Attempt at a Solution



I do understand how to do this but i gt stuck at the part of the question that says "The thermal conductivity of the wall material is 0.036 W/m.K at 0 oC, and that at 93.3 oC is 0.055 W/m.K"

Anyone can just explain to me what does it mean?
 
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  • #2
That means you should estimate the thermal conductivity at your required temperatures
 
  • #3


The thermal conductivity of a material refers to its ability to conduct heat. It is a measure of how easily heat can pass through the material. In this question, the thermal conductivity of the wall material is given as 0.036 W/m.K at 0 oC, which means that at a temperature of 0 oC, the material has a thermal conductivity of 0.036 W/m.K. Similarly, at a temperature of 93.3 oC, the thermal conductivity of the material is 0.055 W/m.K. This indicates that the thermal conductivity of the material increases as the temperature increases. This is important to consider when calculating the rate of heat conduction through the wall, as the temperature difference between the two sides of the wall will affect the rate of heat transfer.
 

1. How does heat transfer occur in a plane wall?

In a plane wall, heat transfer occurs through three main mechanisms: conduction, convection, and radiation. Conduction is the transfer of heat through direct contact between particles, while convection is the transfer of heat through the movement of fluids. Radiation is the transfer of heat through electromagnetic waves.

2. What is the equation for calculating heat transfer in a plane wall?

The equation for calculating heat transfer in a plane wall is Q = (k*A*ΔT)/L, where Q is the heat transfer rate, k is the thermal conductivity of the material, A is the surface area of the wall, ΔT is the temperature difference between the two sides of the wall, and L is the thickness of the wall.

3. How does the thermal conductivity of a material affect heat transfer in a plane wall?

The thermal conductivity of a material is a measure of how easily heat can pass through it. Materials with higher thermal conductivity will transfer heat more quickly than those with lower thermal conductivity. This means that a plane wall made of a material with high thermal conductivity will have a higher heat transfer rate than a wall made of a material with low thermal conductivity.

4. What factors can affect the heat transfer rate in a plane wall?

The heat transfer rate in a plane wall can be affected by several factors, including the temperature difference between the two sides of the wall, the thermal conductivity of the material, the surface area of the wall, and the thickness of the wall. Additionally, external factors such as wind or insulation can also impact heat transfer in a plane wall.

5. How does insulation impact heat transfer in a plane wall?

Insulation can significantly reduce heat transfer in a plane wall by providing a barrier to the flow of heat. Insulation materials have low thermal conductivity, which means they are not good conductors of heat. This prevents heat from passing through the wall and helps maintain a constant temperature on either side of the wall.

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