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
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**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 \(V = 30 \, \text{m/s}\).
Transcribed Image Text:**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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