Square Flow Passage With Width To B Ratio Less Than 1.4 Calculator

Formula Used:

\[ S = \frac{2\pi L_{pipe}}{0.785 \ln\left(\frac{w_{o2}}{w_{i2}}\right)} \]

Conduction Shape Factor (S):

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1. What is Conduction Shape Factor?

Conduction shape factor is defined as the value used to determine the heat transfer rate for the configurations which are very complex and require high calculation time. It simplifies heat transfer calculations for complex geometries.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ S = \frac{2\pi L_{pipe}}{0.785 \ln\left(\frac{w_{o2}}{w_{i2}}\right)} \]

Where:

\( S \) — Conduction Shape Factor (m)
\( L_{pipe} \) — Length of Pipe (m)
\( w_{o2} \) — Outer Width 2 (m)
\( w_{i2} \) — Inner Width 2 (m)
\( \pi \) — Archimedes' constant (≈3.14159)
\( \ln \) — Natural logarithm function

Explanation: This formula calculates the conduction shape factor for square flow passages with width to b ratio less than 1.4, accounting for the geometric configuration and heat transfer characteristics.

3. Importance of Conduction Shape Factor

Details: Accurate calculation of conduction shape factor is crucial for determining heat transfer rates in complex geometries, optimizing thermal system design, and ensuring efficient energy transfer in engineering applications.

4. Using the Calculator

Tips: Enter length of pipe in meters, outer width 2 in meters, and inner width 2 in meters. All values must be positive numbers, and outer width 2 must be greater than inner width 2 for valid results.

5. Frequently Asked Questions (FAQ)

Q1: What types of flow passages does this formula apply to?
A: This formula specifically applies to square flow passages with width to b ratio less than 1.4.

Q2: Why is the natural logarithm used in this formula?
A: The natural logarithm accounts for the logarithmic relationship between the outer and inner dimensions in heat conduction calculations.

Q3: What are typical units for conduction shape factor?
A: Conduction shape factor is typically measured in meters (m) in the SI system.

Q4: When should this formula not be used?
A: This formula should not be used for circular pipes, rectangular passages with different aspect ratios, or when the width to b ratio is greater than or equal to 1.4.

Q5: How accurate is this calculation method?
A: This method provides accurate results for square flow passages with width to b ratio less than 1.4, but may require adjustment for extreme temperature variations or non-uniform material properties.