Manometric Head Using Total Head At Outlet And Inlet Of Pump Calculator

Formula Used:

\[ H_m = \left( \frac{P_2}{w} + \frac{V_d^2}{2g} + Z_2 \right) - \left( \frac{P_1}{w} + \frac{V_s^2}{2g} + Z_1 \right) \]

Pressure at Pump Outlet (P₂):

Specific Weight of Fluid (w):

N/m³

Velocity in Delivery Pipe (V_d):

m/s

Datum Head at Pump Outlet (Z₂):

Pressure at Pump Inlet (P₁):

Velocity in Suction Pipe (V_s):

m/s

Datum Head at Pump Inlet (Z₁):

Manometric Head of Centrifugal Pump (H_m):

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1. What is Manometric Head?

The Manometric Head of a Centrifugal Pump is the total head against which the pump has to work. It represents the difference between the total head at the outlet and the total head at the inlet of the pump, accounting for pressure, velocity, and elevation components.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ H_m = \left( \frac{P_2}{w} + \frac{V_d^2}{2g} + Z_2 \right) - \left( \frac{P_1}{w} + \frac{V_s^2}{2g} + Z_1 \right) \]

Where:

\( H_m \) — Manometric Head of Centrifugal Pump (m)
\( P_2 \) — Pressure at pump outlet (Pa)
\( w \) — Specific weight of fluid in pump (N/m³)
\( V_d \) — Velocity in delivery pipe (m/s)
\( g \) — Gravitational acceleration (9.80665 m/s²)
\( Z_2 \) — Datum head at pump outlet (m)
\( P_1 \) — Pressure at pump inlet (Pa)
\( V_s \) — Velocity in suction pipe (m/s)
\( Z_1 \) — Datum head at pump inlet (m)

Explanation: The formula calculates the difference between the total energy per unit weight at the outlet and inlet of the pump.

3. Importance of Manometric Head Calculation

Details: Accurate calculation of manometric head is crucial for pump selection, system design, and ensuring the pump can overcome the total system resistance including static lift, friction losses, and velocity head.

4. Using the Calculator

Tips: Enter all values in appropriate SI units. Pressure in Pascals, specific weight in N/m³, velocities in m/s, and datum heads in meters. Ensure all values are positive and specific weight is greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between manometric head and total head?
A: Manometric head specifically refers to the head developed by the pump, while total head refers to the energy per unit weight at a particular point in the system.

Q2: Why is specific weight used instead of density?
A: Specific weight (weight per unit volume) is used in head calculations because head represents energy per unit weight of fluid.

Q3: What are typical values for manometric head in centrifugal pumps?
A: Manometric head values vary widely depending on pump design and application, ranging from a few meters to several hundred meters.

Q4: How does velocity affect the manometric head?
A: Higher velocities increase the velocity head component (\( \frac{V^2}{2g} \)) of the total head, which contributes to the overall manometric head calculation.

Q5: Can this formula be used for all types of pumps?
A: This specific formula is primarily used for centrifugal pumps. Other pump types may have different methods for calculating developed head.