Rate of heat flux from from hot gas in a pipe to water outside

In summary, heat flux is the rate of heat transfer per unit area and is calculated by dividing the amount of heat transferred by the surface area and the time it took for the transfer to occur. It is affected by the temperature difference between the hot gas and water, and can be influenced by factors such as material properties and insulation. In a real-world scenario, heat flux can be measured using specialized instruments such as heat flux sensors or calorimeters.
  • #1
phantomvommand
242
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Homework Statement
Please see the picture below
Relevant Equations
Rate of heat conduction = constant
Screenshot 2021-03-13 at 12.33.29 PM.png

I have solved the first 2 parts.
For the 3rd part, I have obtained the equation:
T(x) - T0 = (T1 - T0)e^(-Φx/fc), where f = fm in the question.

How do I obtain that expression for H?

Thank you!
 
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  • #2
Consider a section of pipe (x, x+dx). What is the rate of radial flow of heat there?
 
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  • #3
haruspex said:
Consider a section of pipe (x, x+dx). What is the rate of radial flow of heat there?
Thank you so much for this! I have now obtained the answer
 

1. What is heat flux?

Heat flux is the rate at which thermal energy is transferred through a surface per unit area. It is measured in units of energy per unit time per unit area, such as watts per square meter.

2. How does heat flux from hot gas in a pipe to water outside occur?

Heat flux from hot gas in a pipe to water outside occurs through a process called convection. This is when heat is transferred through a fluid, such as air or water, by the movement of that fluid.

3. What factors affect the rate of heat flux?

The rate of heat flux is affected by several factors, including the temperature difference between the hot gas and the water, the surface area of contact between the two substances, and the properties of the materials involved.

4. How can the rate of heat flux be calculated?

The rate of heat flux can be calculated using the equation Q = hAΔT, where Q is the heat flux, h is the convective heat transfer coefficient, A is the surface area of contact, and ΔT is the temperature difference between the hot gas and the water.

5. How can the rate of heat flux be increased?

The rate of heat flux can be increased by increasing the temperature difference between the hot gas and the water, increasing the surface area of contact, or increasing the convective heat transfer coefficient. This can be achieved through methods such as increasing the flow rate of the fluid or using materials with higher thermal conductivity.

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