Manometric Head Given Head Imparted By Impeller And Loss Of Head In Pump Calculator

Formula Used:

\[ H_m = \frac{V_{w2} \cdot u_2}{g} - (h_{Li} + h_{Lc}) \]

Velocity of Whirl at Outlet (Vw2):

m/s

Tangential Velocity of Impeller at Outlet (u2):

m/s

Head Loss in Pump Impeller (hLi):

Head Loss in Pump Casing (hLc):

Manometric Head of Centrifugal Pump (Hm):

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1. What is 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 difference in energy per unit weight between the inlet and outlet of the pump, accounting for all losses in the system.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ H_m = \frac{V_{w2} \cdot u_2}{g} - (h_{Li} + h_{Lc}) \]

Where:

\( H_m \) — Manometric Head of Centrifugal Pump (m)
\( V_{w2} \) — Velocity of Whirl at Outlet (m/s)
\( u_2 \) — Tangential Velocity of Impeller at Outlet (m/s)
\( g \) — Gravitational acceleration (9.80665 m/s²)
\( h_{Li} \) — Head Loss in Pump Impeller (m)
\( h_{Lc} \) — Head Loss in Pump Casing (m)

Explanation: The formula calculates the net head developed by the pump by subtracting the total head losses from the theoretical head imparted by the impeller.

3. Importance of Manometric Head Calculation

Details: Accurate calculation of manometric head is crucial for pump selection, system design, and performance evaluation. It helps determine the pump's ability to overcome system resistance and deliver fluid to the required height.

4. Using the Calculator

Tips: Enter all values in appropriate units (m/s for velocities, m for head losses). Ensure all values are positive and within reasonable physical limits for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between manometric head and total head?
A: Manometric head specifically refers to the head against which the pump works, while total head includes all energy components in the system.

Q2: Why subtract head losses in the calculation?
A: Head losses represent energy dissipated due to friction and other factors, reducing the net available head from the theoretical maximum.

Q3: What are typical values for head losses?
A: Head losses vary depending on pump design, fluid properties, and operating conditions, typically ranging from 0.5-5% of the theoretical head.

Q4: How does impeller design affect manometric head?
A: Impeller design directly influences tangential velocity and whirl velocity, which are key factors in determining the theoretical head developed.

Q5: Can this formula be used for all centrifugal pumps?
A: This formula is generally applicable to centrifugal pumps, but specific pump designs may require additional factors or modifications.