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

STEP 0: Pre-Calculation Summary
Formula Used
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])
Hm = (hs+hd)+(hfs+hfd)+(Vd^2)/(2*[g])
This formula uses 1 Constants, 6 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.
Suction Head of Centrifugal Pump - (Measured in Meter) - Suction head of centrifugal pump is the vertical height of the center line of the pump shaft above the liquid surface in the sump from which the liquid is being raised.
Delivery Head of Pump - (Measured in Meter) - Delivery head of pump is the vertical height of the liquid surface in the tank/reservoir to which the liquid is delivered above the centre line of the pump shaft.
Friction Head Loss in Pump Suction Pipe - (Measured in Meter) - Friction head loss in pump suction pipe is a measure of the reduction in the total head of the fluid due to friction as it moves through the delivery pipe.
Friction Head Loss in Pump Delivery Pipe - (Measured in Meter) - Friction head loss in pump delivery pipe is a measure of the reduction in the total head of the fluid due to friction as it moves through the delivery pipe.
Velocity in Delivery Pipe - (Measured in Meter per Second) - Velocity in Delivery Pipe is the velocity of the liquid flowing through the delivery pipe.
STEP 1: Convert Input(s) to Base Unit
Suction Head of Centrifugal Pump: 7.3 Meter --> 7.3 Meter No Conversion Required
Delivery Head of Pump: 13.7 Meter --> 13.7 Meter No Conversion Required
Friction Head Loss in Pump Suction Pipe: 1.2 Meter --> 1.2 Meter No Conversion Required
Friction Head Loss in Pump Delivery Pipe: 1.6 Meter --> 1.6 Meter No Conversion Required
Velocity in Delivery Pipe: 5.23 Meter per Second --> 5.23 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Hm = (hs+hd)+(hfs+hfd)+(Vd^2)/(2*[g]) --> (7.3+13.7)+(1.2+1.6)+(5.23^2)/(2*[g])
Evaluating ... ...
Hm = 25.1946097800982
STEP 3: Convert Result to Output's Unit
25.1946097800982 Meter --> No Conversion Required
FINAL ANSWER
25.1946097800982 25.19461 Meter <-- Manometric Head of Centrifugal Pump
(Calculation completed in 00.020 seconds)

Credits

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Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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Institute of Aeronautical Engineering (IARE), Hyderabad
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Manometer Parameter Calculators

Manometric Head using Static Head and Losses in Pipes
​ LaTeX ​ 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 Efficiency using Velocities
​ LaTeX ​ 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
​ LaTeX ​ Go Overall Efficiency of Centrifugal Pump = Manometric Efficiency of Centrifugal Pump*Volumetric Efficiency of Centrifugal Pump*Mechanical Efficiency of Centrifugal Pump
Manometric efficiency
​ LaTeX ​ Go Manometric Efficiency of Centrifugal Pump = Manometric Head of Centrifugal Pump/Head Imparted by Impeller to Liquid

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

​LaTeX ​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])
Hm = (hs+hd)+(hfs+hfd)+(Vd^2)/(2*[g])

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 static head, friction losses in suction and delivery pipes?

Manometric head given static head, friction losses in suction and delivery pipes calculator uses 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]) to calculate the Manometric Head of Centrifugal Pump, Manometric head given static head, friction losses in suction and delivery pipes formula is defined as the total head developed by a centrifugal pump, considering the static head, friction losses in both suction and delivery pipes, and the velocity head of the fluid at the delivery point. Manometric Head of Centrifugal Pump is denoted by Hm symbol.

How to calculate Manometric head given static head, friction losses in suction and delivery pipes using this online calculator? To use this online calculator for Manometric head given static head, friction losses in suction and delivery pipes, enter Suction Head of Centrifugal Pump (hs), Delivery Head of Pump (hd), Friction Head Loss in Pump Suction Pipe (hfs), Friction Head Loss in Pump Delivery Pipe (hfd) & Velocity in Delivery Pipe (Vd) and hit the calculate button. Here is how the Manometric head given static head, friction losses in suction and delivery pipes calculation can be explained with given input values -> 25.19461 = (7.3+13.7)+(1.2+1.6)+(5.23^2)/(2*[g]).

FAQ

What is Manometric head given static head, friction losses in suction and delivery pipes?
Manometric head given static head, friction losses in suction and delivery pipes formula is defined as the total head developed by a centrifugal pump, considering the static head, friction losses in both suction and delivery pipes, and the velocity head of the fluid at the delivery point and is represented as Hm = (hs+hd)+(hfs+hfd)+(Vd^2)/(2*[g]) or 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]). Suction head of centrifugal pump is the vertical height of the center line of the pump shaft above the liquid surface in the sump from which the liquid is being raised, Delivery head of pump is the vertical height of the liquid surface in the tank/reservoir to which the liquid is delivered above the centre line of the pump shaft, Friction head loss in pump suction pipe is a measure of the reduction in the total head of the fluid due to friction as it moves through the delivery pipe, Friction head loss in pump delivery pipe is a measure of the reduction in the total head of the fluid due to friction as it moves through the delivery pipe & Velocity in Delivery Pipe is the velocity of the liquid flowing through the delivery pipe.
How to calculate Manometric head given static head, friction losses in suction and delivery pipes?
Manometric head given static head, friction losses in suction and delivery pipes formula is defined as the total head developed by a centrifugal pump, considering the static head, friction losses in both suction and delivery pipes, and the velocity head of the fluid at the delivery point is calculated using 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]). To calculate Manometric head given static head, friction losses in suction and delivery pipes, you need Suction Head of Centrifugal Pump (hs), Delivery Head of Pump (hd), Friction Head Loss in Pump Suction Pipe (hfs), Friction Head Loss in Pump Delivery Pipe (hfd) & Velocity in Delivery Pipe (Vd). With our tool, you need to enter the respective value for 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 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 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. We can use 3 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)
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