- #1
obscure
- 8
- 0
Homework Statement
Homework Equations
ıt is nonhomog type ,2D heat conduction problem
The Attempt at a Solution
I don't understant To parts so I couldn't attemp a solution.
Steady state temp. distribution
- Thread starter obscure
- Start date
In summary, the conversation discusses a nonhomogeneous 2D heat conduction problem and the attempt at finding a solution. One person questions whether it is a 2D problem and suggests finding T(x,y). Another suggests using a function of x for the upper and lower boundaries and defining a new temperature variable, Q. The conversation ends with a proposed solution that satisfies all of the boundary conditions.
ıt is nonhomog type ,2D heat conduction problem
I don't understant To parts so I couldn't attemp a solution.
- #2
- 23,282
- 5,682
What makes you think it is a 2D problem?
- #3
obscure
- 8
- 0
Shouldn't we found T(x,y)
and for upper and lower parts should I write as afuction of x To(x) and then define new temperature variable Q=T-To to eliminate nonhomog on the left side
and for upper and lower parts should I write as afuction of x To(x) and then define new temperature variable Q=T-To to eliminate nonhomog on the left side
- #4
- 23,282
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From the figure, it looks to me like the heat flow is 1D from the left side to the right side. T = T(x).
- #5
obscure
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- 0
What about the upper and lower boundaries?
Bc should be x=0 t=to
X=b/2 t=to
Y=0 dt/dy =0
Y=b t= to(x)
Bc should be x=0 t=to
X=b/2 t=to
Y=0 dt/dy =0
Y=b t= to(x)
- #6
- 23,282
- 5,682
Does the following satisfy all the boundary conditions: ##T=T_0\left(1-\frac{x}{a}\right)##?
1. What is steady state temperature distribution?
Steady state temperature distribution refers to the state in which the temperature of a system remains constant over time, with no net flow of heat. This means that the amount of heat entering the system is equal to the amount of heat leaving the system, resulting in a stable temperature distribution.
2. How is steady state temperature distribution achieved?
Steady state temperature distribution is achieved when the system reaches thermal equilibrium, meaning that there are no temperature differences between different parts of the system. This can be achieved through proper insulation or by balancing heat sources and sinks within the system.
3. What factors affect steady state temperature distribution?
The factors that affect steady state temperature distribution include the material properties of the system, the temperature of the environment, and the rate of heat transfer within the system. Other factors such as external heat sources and insulation also play a role in achieving and maintaining steady state temperature distribution.
4. What are the benefits of steady state temperature distribution?
Steady state temperature distribution allows for a stable and consistent temperature within a system, which is important for many industrial and scientific processes. It also helps to conserve energy by minimizing heat loss and reducing the need for constant temperature adjustments.
5. Can steady state temperature distribution be maintained indefinitely?
In theory, steady state temperature distribution can be maintained indefinitely as long as there are no significant changes to the system or its surroundings. However, in reality, small fluctuations and changes in the system may affect the temperature distribution over time. Regular maintenance and monitoring may be necessary to ensure continued steady state temperature distribution.
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