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

STEP 0: Pre-Calculation Summary
Formula Used
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)
Hm = (Vw2*u2/[g])-(hLi+hLc)
This formula uses 1 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
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.
Velocity of Whirl at Outlet - (Measured in Meter per Second) - The Velocity of Whirl at Outlet is the tangential component of absolute velocity at the blade outlet.
Tangential Velocity of Impeller at Outlet - (Measured in Meter per Second) - The Tangential Velocity of Impeller at Outlet is the velocity of the impeller at the fluid outlet.
Head Loss in Pump Impeller - (Measured in Meter) - Head loss in pump impeller is a measure of the reduction in the total head of the fluid as it moves through the pump impeller.
Head Loss in Pump Casing - (Measured in Meter) - Head loss in pump casing is a measure of the reduction in the total head of the fluid as it moves through the pump casing.
STEP 1: Convert Input(s) to Base Unit
Velocity of Whirl at Outlet: 16 Meter per Second --> 16 Meter per Second No Conversion Required
Tangential Velocity of Impeller at Outlet: 19 Meter per Second --> 19 Meter per Second No Conversion Required
Head Loss in Pump Impeller: 3.6 Meter --> 3.6 Meter No Conversion Required
Head Loss in Pump Casing: 2.4 Meter --> 2.4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Hm = (Vw2*u2/[g])-(hLi+hLc) --> (16*19/[g])-(3.6+2.4)
Evaluating ... ...
Hm = 24.999372874529
STEP 3: Convert Result to Output's Unit
24.999372874529 Meter --> No Conversion Required
FINAL ANSWER
24.999372874529 24.99937 Meter <-- Manometric Head of Centrifugal Pump
(Calculation completed in 00.004 seconds)

Credits

Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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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 head imparted by impeller and loss of head in pump Formula

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)
Hm = (Vw2*u2/[g])-(hLi+hLc)

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 head imparted by impeller and loss of head in pump?

Manometric head given head imparted by impeller and loss of head in pump calculator uses 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) to calculate the Manometric Head of Centrifugal Pump, The Manometric head given head imparted by impeller and loss of head in pump formula is defined as the difference between the product of velocity of whirl and tangential velocity divided by acceleration due to gravity and sum of head loss in impeller and casing. Manometric Head of Centrifugal Pump is denoted by Hm symbol.

How to calculate Manometric head given head imparted by impeller and loss of head in pump using this online calculator? To use this online calculator for Manometric head given head imparted by impeller and loss of head in pump, enter Velocity of Whirl at Outlet (Vw2), Tangential Velocity of Impeller at Outlet (u2), Head Loss in Pump Impeller (hLi) & Head Loss in Pump Casing (hLc) and hit the calculate button. Here is how the Manometric head given head imparted by impeller and loss of head in pump calculation can be explained with given input values -> 24.99937 = (16*19/[g])-(3.6+2.4).

FAQ

What is Manometric head given head imparted by impeller and loss of head in pump?
The Manometric head given head imparted by impeller and loss of head in pump formula is defined as the difference between the product of velocity of whirl and tangential velocity divided by acceleration due to gravity and sum of head loss in impeller and casing and is represented as Hm = (Vw2*u2/[g])-(hLi+hLc) or 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). The Velocity of Whirl at Outlet is the tangential component of absolute velocity at the blade outlet, The Tangential Velocity of Impeller at Outlet is the velocity of the impeller at the fluid outlet, Head loss in pump impeller is a measure of the reduction in the total head of the fluid as it moves through the pump impeller & Head loss in pump casing is a measure of the reduction in the total head of the fluid as it moves through the pump casing.
How to calculate Manometric head given head imparted by impeller and loss of head in pump?
The Manometric head given head imparted by impeller and loss of head in pump formula is defined as the difference between the product of velocity of whirl and tangential velocity divided by acceleration due to gravity and sum of head loss in impeller and casing is calculated using 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). To calculate Manometric head given head imparted by impeller and loss of head in pump, you need Velocity of Whirl at Outlet (Vw2), Tangential Velocity of Impeller at Outlet (u2), Head Loss in Pump Impeller (hLi) & Head Loss in Pump Casing (hLc). With our tool, you need to enter the respective value for Velocity of Whirl at Outlet, Tangential Velocity of Impeller at Outlet, Head Loss in Pump Impeller & Head Loss in Pump Casing 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 Velocity of Whirl at Outlet, Tangential Velocity of Impeller at Outlet, Head Loss in Pump Impeller & Head Loss in Pump Casing. 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 = ((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]
  • Manometric Head of Centrifugal Pump = ((Diameter of centrifugal pump impeller at outlet*Angular velocity of centrifugal pump)/(84.6*Speed ratio centrifugal pump))^2
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