1. What is the Pump Power Formula?

Definition: This calculator determines the hydraulic horsepower required by a pump to move fluid through a system.

Purpose: It helps engineers and technicians properly size pumps for fluid systems in various applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( P \) — Pump power (horsepower, HP)
• \( Q \) — Flow rate (gallons per minute, GPM)
• \( H \) — Total dynamic head (feet, ft)
• \( \rho \) — Fluid density (pounds per gallon, lb/gal)
• \( \eta \) — Pump efficiency (dimensionless, 0-1)

Explanation: The formula calculates the power needed to move a specific flow rate against a certain head pressure, accounting for fluid density and pump efficiency.

3. Importance of Pump Power Calculation

Details: Proper pump sizing ensures efficient system operation, prevents energy waste, and avoids premature pump failure.

4. Using the Calculator

Tips: Enter the flow rate (GPM), total head (ft), fluid density (default 8.34 lb/gal for water), and pump efficiency (default 0.8). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the constant 3960 in the formula?
A: It's a conversion factor that combines unit conversions to give the result in horsepower (1 HP = 550 ft-lb/sec).

Q2: What's a typical pump efficiency value?
A: Most pumps operate between 60-85% efficiency (0.6-0.85). The exact value depends on pump type and size.

Q3: How do I determine total dynamic head?
A: It's the sum of static head, friction losses, and pressure head in the system.

Q4: What density should I use for other fluids?
A: For fluids other than water, use their specific density (e.g., 6.6 lb/gal for gasoline, 10 lb/gal for brine).

Q5: Does this calculate brake horsepower or water horsepower?
A: This calculates water horsepower (hydraulic power). Brake horsepower would require dividing by mechanical efficiency.