Equilibrium temperature in a homogeneous section (stationary regime)

In summary, equilibrium temperature in a homogeneous section is when the temperature remains constant over time with no net flow of heat or energy. It is determined by the balance between energy input and output, and can be affected by material properties, surrounding temperature, external heat sources, and energy rates. Studying it is important in various scientific fields and non-homogeneity can lead to varying temperatures and challenges in prediction and control.
  • #1
A13235378
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Homework Statement
A homogeneous cylindrical section has temperature T1 and T2 in your extremes. What is the temperature of thermal equilibrium. Consider that this section was taken from a larger section in which it had a stationary thermal flow regime.
Relevant Equations
Fourier:

Q/t = k.A.(T-To)/L
I believe it is just an arithmetic medium, but I am not sure. Could someone explain to me?
 
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  • #2
'your' extremes ?

Or just the end disks ?

How does your relevant equation fit the described situation ?
(what do your variables represent ?)
(Did you make a sketch? Post it !)
 

Related to Equilibrium temperature in a homogeneous section (stationary regime)

What is equilibrium temperature in a homogeneous section?

Equilibrium temperature in a homogeneous section refers to the temperature at which the heat transfer rate into a section is equal to the heat transfer rate out of the section, resulting in a constant temperature throughout the section.

How is equilibrium temperature determined in a homogeneous section?

Equilibrium temperature can be determined by solving the heat transfer equation for the section, taking into account the thermal properties of the material and the boundary conditions.

What factors affect the equilibrium temperature in a homogeneous section?

The equilibrium temperature in a homogeneous section is affected by the material properties, such as thermal conductivity and specific heat, as well as the geometry and boundary conditions of the section.

What is the significance of equilibrium temperature in a homogeneous section?

Equilibrium temperature is important in understanding the thermal behavior of a homogeneous section, as it can help determine the thermal stability and efficiency of the system.

How does the equilibrium temperature change over time in a homogeneous section?

In a stationary regime, the equilibrium temperature remains constant over time as long as the external conditions and material properties do not change. However, in a transient regime, the equilibrium temperature may change over time until it reaches a steady-state value.

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