Manometric head given outlet impeller diameter, impeller speed and speed ratio Calculator

✖Diameter of centrifugal pump impeller at outlet is the diameter of the impeller at the outlet of the centrifugal pump.ⓘ Diameter of centrifugal pump impeller at outlet [D₂]			+10% -10%
✖Angular velocity of centrifugal pump refers to how fast the pump impeller rotates.ⓘ Angular velocity of centrifugal pump [N]			+10% -10%
✖Speed ratio centrifugal pump is the ratio of the peripheral speed of impeller at exit to the theoretical velocity of the jet corresponding to manometric head.ⓘ Speed ratio centrifugal pump [K_u]			+10% -10%

✖The Manometric Head of Centrifugal Pump is the head against which the centrifugal pump has to work.ⓘ Manometric head given outlet impeller diameter, impeller speed and speed ratio [H_m]

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Formula

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Manometric head given outlet impeller diameter, impeller speed and speed ratio

Formula

`"H"_{"m"} = (("D"_{"2"}*"N")/(84.6*"K"_{"u"}))^2`

Example

`"44.33288m"=(("0.28m"*"179.07rad/s")/(84.6*"0.85"))^2`

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Manometric head given outlet impeller diameter, impeller speed and speed ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Manometric Head of Centrifugal Pump = ((Diameter of centrifugal pump impeller at outlet*Angular velocity of centrifugal pump)/(84.6*Speed ratio centrifugal pump))^2
H_m = ((D₂*N)/(84.6*K_u))^2
This formula uses 4 Variables

Variables Used

Manometric Head of Centrifugal Pump - (Measured in Meter) - The Manometric Head of Centrifugal Pump is the head against which the centrifugal pump has to work.
Diameter of centrifugal pump impeller at outlet - (Measured in Meter) - Diameter of centrifugal pump impeller at outlet is the diameter of the impeller at the outlet of the centrifugal pump.
Angular velocity of centrifugal pump - (Measured in Revolution per Minute) - Angular velocity of centrifugal pump refers to how fast the pump impeller rotates.
Speed ratio centrifugal pump - Speed ratio centrifugal pump is the ratio of the peripheral speed of impeller at exit to the theoretical velocity of the jet corresponding to manometric head.

STEP 1: Convert Input(s) to Base Unit

Diameter of centrifugal pump impeller at outlet: 0.28 Meter --> 0.28 Meter No Conversion Required
Angular velocity of centrifugal pump: 179.07 Radian per Second --> 1709.99253965502 Revolution per Minute (Check conversion here)
Speed ratio centrifugal pump: 0.85 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_m = ((D₂*N)/(84.6*K_u))^2 --> ((0.28*1709.99253965502)/(84.6*0.85))^2

Evaluating ... ...

H_m = 44.3328770577448

STEP 3: Convert Result to Output's Unit

44.3328770577448 Meter --> No Conversion Required

FINAL ANSWER

44.3328770577448 ≈ 44.33288 Meter <-- Manometric Head of Centrifugal Pump

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Centrifugal Pumps » Manometer Parameter » Manometric head given outlet impeller diameter, impeller speed and speed ratio

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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National Institute Of Technology (NIT), Hamirpur

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< 9 Manometer Parameter Calculators

Manometric Head using Total Head at Outlet and Inlet of Pump

Go Manometric Head of Centrifugal Pump = ((Pressure at Pump Outlet/Specific weight of fluid in pump)+((Velocity in Delivery Pipe^2)/(2*[g]))+Datum Head at Pump Outlet)-((Pressure at pump inlet/Specific weight of fluid in pump)+((Velocity in Suction Pipe^2)/(2*[g]))+Datum Head at Pump Inlet)

Manometric head given static head, friction losses in suction and delivery pipes

Go Manometric Head of Centrifugal Pump = (Suction head of centrifugal pump+Delivery head of pump)+(Friction Head Loss in Pump Suction Pipe+Friction Head Loss in Pump Delivery Pipe)+(Velocity in Delivery Pipe^2)/(2*[g])

Manometric Head using Static Head and Losses in Pipes

Go Manometric Head of Centrifugal Pump = Static Head of Centrifugal Pump+Friction Head Loss in Pump Delivery Pipe+Friction Head Loss in Pump Suction Pipe+(Velocity in Delivery Pipe^2)/(2*[g])

Manometric head given head imparted by impeller and loss of head in pump

Go Manometric Head of Centrifugal Pump = (Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet/[g])-(Head Loss in Pump Impeller+Head Loss in Pump Casing)

Manometric Efficiency using Velocities

Go Manometric Efficiency of Centrifugal Pump = ([g]*Manometric Head of Centrifugal Pump)/(Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet)

Overall Efficiency using Manometric, Volumetric and Mechanical Efficiencies

Go Overall efficiency of centrifugal pump = Manometric Efficiency of Centrifugal Pump*Volumetric efficiency of centrifugal pump*Mechanical efficiency of centrifugal pump

Manometric head given outlet impeller diameter, impeller speed and speed ratio

Go Manometric Head of Centrifugal Pump = ((Diameter of centrifugal pump impeller at outlet*Angular velocity of centrifugal pump)/(84.6*Speed ratio centrifugal pump))^2

Manometric head given head imparted by impeller if loss of head in pump is zero

Go Manometric Head of Centrifugal Pump = (Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet)/[g]

Manometric efficiency

Go Manometric Efficiency of Centrifugal Pump = Manometric Head of Centrifugal Pump/Head Imparted by Impeller to Liquid

Manometric head given outlet impeller diameter, impeller speed and speed ratio Formula

Manometric Head of Centrifugal Pump = ((Diameter of centrifugal pump impeller at outlet*Angular velocity of centrifugal pump)/(84.6*Speed ratio centrifugal pump))^2
H_m = ((D₂*N)/(84.6*K_u))^2

What is manometric head?

Manometric head is the sum of the actual lift (Static head), the frictional losses in the pipes and the discharge velocity head. The energy needed by the water from suction in suction pipe to discharge in the discharge tank, converted into head form is called manometric head.

How to Calculate Manometric head given outlet impeller diameter, impeller speed and speed ratio?

Manometric head given outlet impeller diameter, impeller speed and speed ratio calculator uses Manometric Head of Centrifugal Pump = ((Diameter of centrifugal pump impeller at outlet*Angular velocity of centrifugal pump)/(84.6*Speed ratio centrifugal pump))^2 to calculate the Manometric Head of Centrifugal Pump, The Manometric head given outlet impeller diameter, impeller speed and speed ratio formula is defined as the square root of ratio of product of outlet diameter of impeller and impeller speed to the product of speed ratio and 84.6. Manometric Head of Centrifugal Pump is denoted by H_m symbol.

How to calculate Manometric head given outlet impeller diameter, impeller speed and speed ratio using this online calculator? To use this online calculator for Manometric head given outlet impeller diameter, impeller speed and speed ratio, enter Diameter of centrifugal pump impeller at outlet (D₂), Angular velocity of centrifugal pump (N) & Speed ratio centrifugal pump (K_u) and hit the calculate button. Here is how the Manometric head given outlet impeller diameter, impeller speed and speed ratio calculation can be explained with given input values -> 24.21966 = ((0.28*179.07)/(84.6*0.85))^2.

FAQ

What is Manometric head given outlet impeller diameter, impeller speed and speed ratio?

The Manometric head given outlet impeller diameter, impeller speed and speed ratio formula is defined as the square root of ratio of product of outlet diameter of impeller and impeller speed to the product of speed ratio and 84.6 and is represented as H_m = ((D₂*N)/(84.6*K_u))^2 or Manometric Head of Centrifugal Pump = ((Diameter of centrifugal pump impeller at outlet*Angular velocity of centrifugal pump)/(84.6*Speed ratio centrifugal pump))^2. Diameter of centrifugal pump impeller at outlet is the diameter of the impeller at the outlet of the centrifugal pump, Angular velocity of centrifugal pump refers to how fast the pump impeller rotates & Speed ratio centrifugal pump is the ratio of the peripheral speed of impeller at exit to the theoretical velocity of the jet corresponding to manometric head.

How to calculate Manometric head given outlet impeller diameter, impeller speed and speed ratio?

The Manometric head given outlet impeller diameter, impeller speed and speed ratio formula is defined as the square root of ratio of product of outlet diameter of impeller and impeller speed to the product of speed ratio and 84.6 is calculated using Manometric Head of Centrifugal Pump = ((Diameter of centrifugal pump impeller at outlet*Angular velocity of centrifugal pump)/(84.6*Speed ratio centrifugal pump))^2. To calculate Manometric head given outlet impeller diameter, impeller speed and speed ratio, you need Diameter of centrifugal pump impeller at outlet (D₂), Angular velocity of centrifugal pump (N) & Speed ratio centrifugal pump (K_u). With our tool, you need to enter the respective value for Diameter of centrifugal pump impeller at outlet, Angular velocity of centrifugal pump & Speed ratio centrifugal pump and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Manometric Head of Centrifugal Pump?

In this formula, Manometric Head of Centrifugal Pump uses Diameter of centrifugal pump impeller at outlet, Angular velocity of centrifugal pump & Speed ratio centrifugal pump. We can use 5 other way(s) to calculate the same, which is/are as follows -

Manometric Head of Centrifugal Pump = Static Head of Centrifugal Pump+Friction Head Loss in Pump Delivery Pipe+Friction Head Loss in Pump Suction Pipe+(Velocity in Delivery Pipe^2)/(2*[g])
Manometric Head of Centrifugal Pump = (Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet/[g])-(Head Loss in Pump Impeller+Head Loss in Pump Casing)
Manometric Head of Centrifugal Pump = ((Pressure at Pump Outlet/Specific weight of fluid in pump)+((Velocity in Delivery Pipe^2)/(2*[g]))+Datum Head at Pump Outlet)-((Pressure at pump inlet/Specific weight of fluid in pump)+((Velocity in Suction Pipe^2)/(2*[g]))+Datum Head at Pump Inlet)
Manometric Head of Centrifugal Pump = (Suction head of centrifugal pump+Delivery head of pump)+(Friction Head Loss in Pump Suction Pipe+Friction Head Loss in Pump Delivery Pipe)+(Velocity in Delivery Pipe^2)/(2*[g])
Manometric Head of Centrifugal Pump = (Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet)/[g]

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