Discharge Of Pump Given Specific Speed Calculator

Formula Used:

\[ Q = \left( \frac{N_s \times H_m^{3/4}}{\omega} \right)^2 \]

Specific Speed of Centrifugal Pump (N_s):

rad/s

Manometric Head of Centrifugal Pump (H_m):

Angular Velocity (ω):

rad/s

Actual Discharge at Centrifugal Pump Outlet (Q):

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1. What is the Discharge of Pump Given Specific Speed Formula?

The discharge of pump given specific speed formula calculates the actual discharge at the centrifugal pump outlet based on specific speed, manometric head, and angular velocity. This formula helps in determining the flow rate of liquid from the pump outlet under specific operating conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Q = \left( \frac{N_s \times H_m^{3/4}}{\omega} \right)^2 \]

Where:

\( Q \) — Actual discharge at centrifugal pump outlet (m³/s)
\( N_s \) — Specific speed of centrifugal pump (rad/s)
\( H_m \) — Manometric head of centrifugal pump (m)
\( \omega \) — Angular velocity (rad/s)

Explanation: The formula relates the pump's discharge to its specific speed, head, and rotational speed, providing a mathematical relationship between these key pump parameters.

3. Importance of Discharge Calculation

Details: Accurate discharge calculation is essential for pump selection, system design, and performance evaluation. It helps ensure that the pump meets the required flow rate for the intended application.

4. Using the Calculator

Tips: Enter specific speed in rad/s, manometric head in meters, and angular velocity in rad/s. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is specific speed of a centrifugal pump?
A: Specific speed is defined as the speed of a geometrically similar pump that would deliver one cubic meter of liquid per second against a head of one meter.

Q2: What is manometric head?
A: Manometric head is the total head against which the centrifugal pump has to work, including static, pressure, and velocity heads.

Q3: Why is angular velocity important in pump calculations?
A: Angular velocity determines how fast the pump impeller rotates, which directly affects the pump's discharge capacity and performance.

Q4: What are typical units for pump discharge?
A: Pump discharge is typically measured in cubic meters per second (m³/s) or liters per second (L/s) in the metric system.

Q5: Are there limitations to this formula?
A: This formula provides an approximate calculation and may need adjustment for specific pump designs, fluid properties, or operating conditions outside normal ranges.