1. What is the Pump Pressure Formula?

Definition: This calculator determines the hydraulic power required by a pump based on flow rate, total head, fluid density, and pump efficiency.

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 pressure (horsepower, HP)
• \( Q \) — Flow rate (gallons per minute, GPM)
• \( H \) — Total 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 fluid at a given flow rate against a certain head, accounting for pump efficiency.

3. Importance of Pump Pressure Calculation

Details: Accurate pump sizing ensures efficient system operation, prevents energy waste, and avoids pump overload or underperformance.

4. Using the Calculator

Tips: Enter the flow rate in GPM, total head in feet, fluid density (default 8.34 lb/gal for water), and pump efficiency (default 0.75). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the 3960 constant in the formula?
A: It's a conversion factor that combines various unit conversions to give the result in horsepower.

Q2: What's a typical pump efficiency value?
A: Most pumps operate between 50-85% efficiency (0.5-0.85), with 0.75 being a common average.

Q3: How do I determine total head?
A: Total head includes static head, friction losses, and pressure differences in the system.

Q4: What density should I use for other fluids?
A: For fluids other than water, use their specific weight divided by 7.48 (gallons per cubic foot).

Q5: Does this account for motor efficiency?
A: No, this calculates hydraulic power. For electrical input power, divide the result by motor efficiency.