**Understanding Heat Transfer in Cross Flow**To study the heat transfer from a bar in cross flow, a series of experiments were conducted to measure the average heat transfer coefficient (\(\bar{h}\)) as a function of the free stream velocity (\(V\)). The schematic of the experiment and results are below:**Experimental Data:**- \(\bar{h}\) [W/m²-K] | \(V\) [m/s] - 60 | 20 - 40 | 15**Schematic:**- Represents a bar with a length of \(L = 0.3 \, \text{m}\) in cross flow, depicted with airflow striking the bar.**Questions:**a) The important dimensionless parameters are related by the form:\[\bar{Nu} = C \text{Re}_L^m \text{Pr}^n\]where \(C\), \(m\), and \(n\) are constants. The film temperature in both experiments is approximately the same. Use the experimental results to determine the constant \(m\).b) Calculate \(\bar{h}\) for \(L = 0.75 \, \text{m}\) and \(V = 30 \, \text{m/s}\).

Given:To find:(a) Value of constant m.(b) Value of .

To understand the heat transfer from a bar in cross flow, you conduct a series of experiments measuring the average heat transfer coefficient as a function of the free stream velocity. A schematic of the experiment and the accompanying results are shown below. L = 0.3 m [W/m²-K] 60 40 V [m/s] 20 15 V a) You expect the important dimensionless parameters to be related by a function of the form Nu = CRem Pr where C, m, and n are constants. The film temperature in both the experiments is approximately the same. Use the given experimental results to determine the constant m b) Calculate h for L = 0.75 m and V = 30 m/s.

To understand the heat transfer from a bar in cross flow, you conduct a series of experiments measuring the average heat transfer coefficient as a function of the free stream velocity. A schematic of the experiment and the accompanying results are shown below. L = 0.3 m [W/m²-K] 60 40 V [m/s] 20 15 V a) You expect the important dimensionless parameters to be related by a function of the form Nu = CRem Pr where C, m, and n are constants. The film temperature in both the experiments is approximately the same. Use the given experimental results to determine the constant m b) Calculate h for L = 0.75 m and V = 30 m/s.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

**Understanding Heat Transfer in Cross Flow**

To study the heat transfer from a bar in cross flow, a series of experiments were conducted to measure the average heat transfer coefficient (\(\bar{h}\)) as a function of the free stream velocity (\(V\)). The schematic of the experiment and results are below:

**Experimental Data:**
- \(\bar{h}\) [W/m²-K] | \(V\) [m/s]
- 60 | 20
- 40 | 15

**Schematic:**
- Represents a bar with a length of \(L = 0.3 \, \text{m}\) in cross flow, depicted with airflow striking the bar.

**Questions:**

a) The important dimensionless parameters are related by the form:

\[
\bar{Nu} = C \text{Re}_L^m \text{Pr}^n
\]

where \(C\), \(m\), and \(n\) are constants. The film temperature in both experiments is approximately the same. Use the experimental results to determine the constant \(m\).

b) Calculate \(\bar{h}\) for \(L = 0.75 \, \text{m}\) and \(V = 30 \, \text{m/s}\).

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