Propeller Diameter Formula:
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Definition: This calculator estimates the optimal propeller diameter based on power input, rotational speed, water density, and a design constant.
Purpose: It helps marine engineers and boat designers determine the appropriate propeller size for efficient propulsion.
The calculator uses the formula:
Where:
Explanation: The formula calculates the optimal diameter that balances power absorption with hydrodynamic efficiency.
Details: Correct propeller sizing ensures optimal fuel efficiency, prevents engine overload, and maximizes boat performance.
Tips: Enter the power in Watts, rotational speed in rev/s, water density (default 1025 kg/m³ for seawater), and design constant (typically 0.8-1.2). All values must be > 0.
Q1: What is a typical value for the constant k?
A: For most marine propellers, k ranges between 0.8 and 1.2 depending on the design.
Q2: How does water density affect the calculation?
A: Higher density water requires more power to turn the propeller, affecting the optimal diameter.
Q3: What units should I use for rotational speed?
A: The calculator requires revolutions per second (rev/s). Convert from RPM by dividing by 60.
Q4: Does this include pitch calculation?
A: This calculates diameter only. Pitch is typically determined separately based on desired speed.
Q5: How accurate is this calculation?
A: It provides a theoretical optimum. Real-world factors like hull design may require adjustments.