Pump Discharge Pressure Calculator

Pump Discharge Pressure Equation:

\[ P_{disch} = \rho g H_d + P_s + \frac{v^2}{2} \]

Fluid Density (ρ):

kg/m³

Gravity (g):

m/s²

Discharge Head (H_d):

Suction Pressure (P_s):

Velocity (v):

m/s

Pump Discharge Pressure (P_disch):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Pump Discharge Pressure?

Pump discharge pressure is the total pressure at the outlet of a pump, accounting for static head, suction pressure, and velocity head. It represents the energy imparted to the fluid by the pump.

2. How Does the Calculator Work?

The calculator uses the pump discharge pressure equation:

\[ P_{disch} = \rho g H_d + P_s + \frac{v^2}{2} \]

Where:

\( P_{disch} \) — Pump discharge pressure (Pa)
\( \rho \) — Fluid density (kg/m³)
\( g \) — Gravitational acceleration (m/s²)
\( H_d \) — Discharge head (m)
\( P_s \) — Suction pressure (Pa)
\( v \) — Fluid velocity (m/s)

Explanation: The equation combines the static pressure from the discharge head, the suction pressure, and the dynamic pressure from fluid velocity.

3. Importance of Pump Discharge Pressure Calculation

Details: Accurate pump discharge pressure calculation is essential for proper pump selection, system design, and ensuring adequate flow and pressure throughout the piping system.

4. Using the Calculator

Tips: Enter fluid density in kg/m³, gravitational acceleration in m/s² (default 9.81), discharge head in meters, suction pressure in Pascals, and velocity in m/s. All values must be non-negative.

5. Frequently Asked Questions (FAQ)

Q1: Why is gravitational acceleration typically 9.81 m/s²?
A: 9.81 m/s² is the standard acceleration due to gravity at Earth's surface, though it varies slightly with location.

Q2: What units should be used for accurate results?
A: Consistent SI units (kg/m³, m/s², m, Pa, m/s) must be used to ensure correct pressure calculation in Pascals.

Q3: When is the velocity term significant?
A: The velocity term becomes significant in high-flow systems where kinetic energy contributes substantially to the total pressure.

Q4: How does suction pressure affect discharge pressure?
A: Higher suction pressure directly increases discharge pressure, reducing the pump's required work to achieve the desired outlet pressure.

Q5: Can this calculator be used for compressible fluids?
A: This equation is primarily for incompressible fluids. For compressible fluids, additional factors like compressibility and temperature must be considered.