Head of Pump Given Specific Speed Calculator

Formula Used:

\[ H_m = \left( \frac{\omega \cdot \sqrt{Q}}{N_s} \right)^{\frac{4}{3}} \]

Manometric Head (Hₘ):

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1. What is the Manometric Head of Centrifugal Pump?

The Manometric Head of Centrifugal Pump is the total head against which the centrifugal pump has to work. It represents the energy imparted to the liquid by the pump and is a crucial parameter in pump performance analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ H_m = \left( \frac{\omega \cdot \sqrt{Q}}{N_s} \right)^{\frac{4}{3}} \]

Where:

\( H_m \) — Manometric Head (m)
\( \omega \) — Angular Velocity (rad/s)
\( Q \) — Actual Discharge (m³/s)
\( N_s \) — Specific Speed (rad/s)

Explanation: This formula relates the manometric head to the angular velocity, actual discharge, and specific speed of the centrifugal pump through a power relationship.

3. Importance of Manometric Head Calculation

Details: Accurate calculation of manometric head is essential for proper pump selection, system design, and performance evaluation in various fluid transport applications.

4. Using the Calculator

Tips: Enter angular velocity in rad/s, actual discharge in m³/s, and specific speed in rad/s. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical significance of manometric head?
A: Manometric head represents the total energy per unit weight imparted to the fluid by the pump, including pressure head, velocity head, and elevation head.

Q2: How does specific speed affect pump performance?
A: Specific speed characterizes the geometric similarity of pumps and helps in selecting the appropriate pump type for specific operating conditions.

Q3: What are typical values for centrifugal pump specific speed?
A: Specific speed values typically range from 500 to 15,000 (in US customary units) or 10 to 300 (in SI units) depending on pump type and application.

Q4: How does angular velocity affect the manometric head?
A: Higher angular velocity generally increases the manometric head, as more energy is imparted to the fluid by the rotating impeller.

Q5: What are the limitations of this formula?
A: This formula provides an approximate relationship and may not account for all real-world factors such as efficiency losses, fluid properties, and specific pump characteristics.