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L = 60 cm a = 2 cin B

L = 60 cm a = 2 cin B

Elements Of Electromagnetics
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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### Educational Content on Heat Exchangers **Heat Exchangers and Triangular Passages** Heat exchangers often use triangular passages for efficient fluid dynamics. Here, we consider an example from Figure 555, featuring a triangular passage with specific dimensions: - Length (\(L\)) = 60 cm - Isosceles triangle cross-section with side length (\(a\)) = 2 cm - Included angle (\(\beta\)) = 60° Given the average fluid velocity \(V = 2.5 \, \text{m/s}\) and the fluid is SAE 10 oil at 20°C, the task is to estimate the pressure drop. The properties involved are: - Specific Gravity (\(SG_{oil}\)) = 0.870 - Dynamic Viscosity (\(\mu = 0.104 \, \text{kg/m}^3\cdot\text{s}\)) **Illustration of Triangular Passage** The diagram depicts the triangular passage with dimensions labeled. The triangle's base, \(a\), is 2 cm, and the length of the passage \(L\) is 60 cm. The angle \(\beta\) at the triangle's vertex is 60°. **Laminar Friction Table (Table 6.4)** The table provides laminar friction constants for different cross-sectional shapes—rectangular and isosceles triangle ducts: - **Rectangular Ducts:** The table shows the friction constant ratio \((f/Re)\) corresponding to various \(b/a\) (base to altitude ratio). - **Isosceles Triangle Ducts:** The table lists values of \((f/Re)\) based on different included angles \(\theta\). | \(\theta\), deg | \(f/Re_D\) | |-----------------|------------| | 0 | 48.0 | | 20 | 51.6 | | 30 | 52.9 | | 40 | 53.3 | | 50 | 52.9 | | 60 | 51.6 | | 80 | 48.3 | | 90 | 48.0 | This data can be used to determine the friction factor (\(f\)) for calculating the pressure drop in triangular duct sections, aiding in efficient heat exchanger design.
Transcribed Image Text:### Educational Content on Heat Exchangers **Heat Exchangers and Triangular Passages** Heat exchangers often use triangular passages for efficient fluid dynamics. Here, we consider an example from Figure 555, featuring a triangular passage with specific dimensions: - Length (\(L\)) = 60 cm - Isosceles triangle cross-section with side length (\(a\)) = 2 cm - Included angle (\(\beta\)) = 60° Given the average fluid velocity \(V = 2.5 \, \text{m/s}\) and the fluid is SAE 10 oil at 20°C, the task is to estimate the pressure drop. The properties involved are: - Specific Gravity (\(SG_{oil}\)) = 0.870 - Dynamic Viscosity (\(\mu = 0.104 \, \text{kg/m}^3\cdot\text{s}\)) **Illustration of Triangular Passage** The diagram depicts the triangular passage with dimensions labeled. The triangle's base, \(a\), is 2 cm, and the length of the passage \(L\) is 60 cm. The angle \(\beta\) at the triangle's vertex is 60°. **Laminar Friction Table (Table 6.4)** The table provides laminar friction constants for different cross-sectional shapes—rectangular and isosceles triangle ducts: - **Rectangular Ducts:** The table shows the friction constant ratio \((f/Re)\) corresponding to various \(b/a\) (base to altitude ratio). - **Isosceles Triangle Ducts:** The table lists values of \((f/Re)\) based on different included angles \(\theta\). | \(\theta\), deg | \(f/Re_D\) | |-----------------|------------| | 0 | 48.0 | | 20 | 51.6 | | 30 | 52.9 | | 40 | 53.3 | | 50 | 52.9 | | 60 | 51.6 | | 80 | 48.3 | | 90 | 48.0 | This data can be used to determine the friction factor (\(f\)) for calculating the pressure drop in triangular duct sections, aiding in efficient heat exchanger design.
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