Beale Number Calculator

Beale Number Formula:

\[ Bn = \frac{HP}{P \times SVp \times fe} \]

Engine Power (HP):

Watt

Average Gas Pressure (P):

Pascal

Piston Swept Volume (SVp):

Cubic Meter

Engine Frequency (fe):

Hertz

Beale Number (Bn):

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1. What is the Beale Number?

The Beale Number is a dimensionless parameter that characterizes the performance of Stirling engines. It relates engine power to average gas pressure, piston swept volume, and engine frequency.

2. How Does the Calculator Work?

The calculator uses the Beale Number formula:

\[ Bn = \frac{HP}{P \times SVp \times fe} \]

Where:

\( Bn \) — Beale Number (dimensionless)
\( HP \) — Engine Power (Watt)
\( P \) — Average Gas Pressure (Pascal)
\( SVp \) — Piston Swept Volume (Cubic Meter)
\( fe \) — Engine Frequency (Hertz)

Explanation: The Beale Number provides a standardized way to compare the performance of different Stirling engines by normalizing power output against key operating parameters.

3. Importance of Beale Number Calculation

Details: The Beale Number is crucial for evaluating and comparing the efficiency and performance characteristics of Stirling engines across different designs and operating conditions.

4. Using the Calculator

Tips: Enter engine power in watts, average gas pressure in pascals, piston swept volume in cubic meters, and engine frequency in hertz. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical range for Beale Numbers?
A: Beale Numbers typically range from 0.1 to 0.3 for well-designed Stirling engines, with higher values indicating better performance.

Q2: Why is the Beale Number dimensionless?
A: The Beale Number is dimensionless because it represents a ratio of power to the product of pressure, volume, and frequency, which all cancel out dimensionally.

Q3: Can the Beale Number be used for other engine types?
A: The Beale Number is specifically designed for Stirling engines and may not be directly applicable to other engine types.

Q4: How does temperature affect the Beale Number?
A: Temperature affects gas pressure and other parameters, which in turn influence the Beale Number calculation.

Q5: What are the limitations of the Beale Number?
A: The Beale Number provides a simplified performance metric and may not capture all aspects of engine efficiency and real-world operating conditions.