# Temperature at the tip of a fin

• theBEAST
In summary, the conversation revolves around finding the correct temperature at a specific length in a solution. The initial solution did not account for the corrected length, but the textbook solution does. The poster is questioning whether the corrected length is the actual temperature, or just an approximation used for finding efficiency. Both solutions are close in terms of temperature, only off by 0.01 degrees. The thread is also discussing the difficulty of accurately establishing a given value for h.
theBEAST

## The Attempt at a Solution

I initially found the temperature tip without accounting for the corrected length. But the solution uses the corrected length for finding the temperature which doesn't make sense to me. Don't we want the temperature at the tip L, if we find the temperature at the corrected length then that isn't the ACTUAL temperature, it is an approximation we use to find efficiency I thought?

Both answers are pretty close, only off by around 0.01 C.

Here is my solution along with the relevant equations:

Here is the textbook solution:

Last edited:
Dear animal,

Love this exercise. Can't get up to speed quick enough, so can't help you. Do find it interesting you worry about .01 degree if h is given in 1 decimal. Just try to imagine how hard it is to establish this h !

Interesting thread, will look at what comes out.

## 1. What is the purpose of measuring the temperature at the tip of a fin?

The temperature at the tip of a fin is an important measurement in understanding the heat transfer and efficiency of a system. It can help determine if the fin is functioning properly and if there is any heat loss or gain.

## 2. How is the temperature at the tip of a fin measured?

The temperature at the tip of a fin is typically measured using a thermocouple or a thermistor. These devices are placed at the tip of the fin and can accurately measure the temperature in real-time.

## 3. What factors can affect the temperature at the tip of a fin?

The temperature at the tip of a fin can be affected by various factors such as the flow rate of the fluid, the material and thickness of the fin, and the surface area of the fin. Other factors such as ambient temperature and surrounding heat sources can also impact the temperature at the tip of a fin.

## 4. How does the temperature at the tip of a fin impact the overall performance of a system?

The temperature at the tip of a fin is a crucial factor in determining the efficiency of a system. If the temperature is too high, it can lead to heat loss and decrease the overall performance. On the other hand, if the temperature is too low, it can indicate a lack of heat transfer and affect the system's effectiveness.

## 5. Can the temperature at the tip of a fin be used to predict the performance of a system?

Yes, the temperature at the tip of a fin can be used as an indicator of the overall performance of a system. By monitoring the temperature, engineers can make adjustments to improve the efficiency of the system and ensure it is functioning at optimal levels.

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