A question on heat transfer and blackbodys

In summary, The first equation \frac{dQ}{dt} = \sigma A T^{4} represents the power emitted by a perfect blackbody. The second equation Q = mc\DeltaT is for convective heat transfer. They cannot be used interchangeably as they represent different types of heat transfer.
  • #1
pastro
15
0
Hello,

I was wondering:
[tex]\frac{dQ}{dt}[/tex] = \sigma A T^{4}
for a perfect blackbody.

Also
Q = mc\DeltaT

If I take the time derivative of the above equation, set it equal to the power emitted by a blackbody, and solve the resulting differential equation for temperature, does that give me the temperature with which a blackbody radiator of a given mass and material cools in vacuum as a function of time?

Just curious...

Thanks!
 
Last edited:
Science news on Phys.org
  • #2
Ummm, I doubt it.

Equation 1 is for, well, radiation.

Equation 2, as I understand it, is for convective heat transfer.

The two are not really the same thing.
 

Related to A question on heat transfer and blackbodys

1. What is heat transfer?

Heat transfer is the movement of thermal energy from one object or system to another due to a difference in temperature.

2. What is a blackbody?

A blackbody is an idealized object that absorbs all radiation that falls on it and emits radiation at all frequencies according to its temperature.

3. How does heat transfer occur in a blackbody?

In a blackbody, heat transfer occurs through radiation because it is a perfect absorber and emitter of radiation at all frequencies.

4. How is heat transfer related to temperature in a blackbody?

In a blackbody, heat transfer is directly proportional to the temperature difference between the object and its surroundings. The higher the temperature, the greater the heat transfer.

5. Why is understanding heat transfer in blackbodies important?

Understanding heat transfer in blackbodies is important because it helps us understand the behavior of objects in extreme temperatures, such as in space or in industrial processes. It also has practical applications in fields like thermodynamics and astrophysics.

Similar threads

A Practical use of an overall heat transfer coefficient?
    • Thermodynamics
Replies
14
Views
1K
A Calculating the heat loss of an open water tank (aquarium)
    • Thermodynamics
Replies
2
Views
1K
I Warm-up time for a hollow cylinder
    • Thermodynamics
Replies
5
Views
1K
Heat Equilibrium in elliptical cavities, and the second Law
    • Thermodynamics
Replies
17
Views
3K
I Estimating a thermal equilibrium on a custom made fridge
    • Thermodynamics
Replies
23
Views
1K
I 1D Heat Transfer Analytical Wall
    • Thermodynamics
Replies
3
Views
1K
I Time for a cold volume of air to reach a higher air temperature
    • Thermodynamics
Replies
11
Views
1K
A Average temperature in a greenhouse
    • Thermodynamics
Replies
2
Views
1K
How to resolve the heating and cooling of an object?
    • Thermodynamics
Replies
4
Views
4K
I Blackbody radiation and the cosmic microwave background
    • Classical Physics
Replies
29
Views
2K

Hot Threads

Recent Insights

Back
Top