Manometric Head using Total Head at Outlet and Inlet of Pump Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Hm = ((P2/w)+((Vd^2)/(2*[g]))+Z2)-((P1/w)+((Vs^2)/(2*[g]))+Z1)
This formula uses 1 Constants, 8 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.
Pressure at Pump Outlet - (Measured in Pascal) - Pressure at pump outlet is the pressure of the fluid at the outlet of the pump.
Specific weight of fluid in pump - (Measured in Newton per Cubic Meter) - Specific weight of fluid in pump is the weight of fluid per unit volume.
Velocity in Delivery Pipe - (Measured in Meter per Second) - Velocity in Delivery Pipe is the velocity of the liquid flowing through the delivery pipe.
Datum Head at Pump Outlet - (Measured in Meter) - Datum Head at Pump Outlet is the vertical height of the pump outlet from the datum line.
Pressure at pump inlet - (Measured in Pascal) - Pressure at pump inlet is the pressure of the fluid at the inlet of the pump.
Velocity in Suction Pipe - (Measured in Meter per Second) - Velocity in Suction Pipe is the velocity of liquid in suction pipe.
Datum Head at Pump Inlet - (Measured in Meter) - Datum Head at Pump Inlet is the vertical height of the pump inlet from the datum line.
STEP 1: Convert Input(s) to Base Unit
Pressure at Pump Outlet: 0.14 Megapascal --> 140000 Pascal (Check conversion here)
Specific weight of fluid in pump: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Velocity in Delivery Pipe: 5.23 Meter per Second --> 5.23 Meter per Second No Conversion Required
Datum Head at Pump Outlet: 19.9 Meter --> 19.9 Meter No Conversion Required
Pressure at pump inlet: 0.07 Megapascal --> 70000 Pascal (Check conversion here)
Velocity in Suction Pipe: 2.1 Meter per Second --> 2.1 Meter per Second No Conversion Required
Datum Head at Pump Inlet: 2.9 Meter --> 2.9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Hm = ((P2/w)+((Vd^2)/(2*[g]))+Z2)-((P1/w)+((Vs^2)/(2*[g]))+Z1) --> ((140000/9810)+((5.23^2)/(2*[g]))+19.9)-((70000/9810)+((2.1^2)/(2*[g]))+2.9)
Evaluating ... ...
Hm = 25.305338298052
STEP 3: Convert Result to Output's Unit
25.305338298052 Meter --> No Conversion Required
FINAL ANSWER
25.305338298052 25.30534 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
Sagar S Kulkarni has created this Calculator and 200+ more calculators!
Verified by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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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 using Total Head at Outlet and Inlet of Pump Formula

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)
Hm = ((P2/w)+((Vd^2)/(2*[g]))+Z2)-((P1/w)+((Vs^2)/(2*[g]))+Z1)

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 using Total Head at Outlet and Inlet of Pump?

Manometric Head using Total Head at Outlet and Inlet of Pump calculator uses 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) to calculate the Manometric Head of Centrifugal Pump, The Manometric Head using Total Head at Outlet and Inlet of Pump formula is defined as the difference between the pressure head, velocity head and datum head at the outlet and inlet of the pump. Manometric Head of Centrifugal Pump is denoted by Hm symbol.

How to calculate Manometric Head using Total Head at Outlet and Inlet of Pump using this online calculator? To use this online calculator for Manometric Head using Total Head at Outlet and Inlet of Pump, enter Pressure at Pump Outlet (P2), Specific weight of fluid in pump (w), Velocity in Delivery Pipe (Vd), Datum Head at Pump Outlet (Z2), Pressure at pump inlet (P1), Velocity in Suction Pipe (Vs) & Datum Head at Pump Inlet (Z1) and hit the calculate button. Here is how the Manometric Head using Total Head at Outlet and Inlet of Pump calculation can be explained with given input values -> 25.30534 = ((140000/9810)+((5.23^2)/(2*[g]))+19.9)-((70000/9810)+((2.1^2)/(2*[g]))+2.9).

FAQ

What is Manometric Head using Total Head at Outlet and Inlet of Pump?
The Manometric Head using Total Head at Outlet and Inlet of Pump formula is defined as the difference between the pressure head, velocity head and datum head at the outlet and inlet of the pump and is represented as Hm = ((P2/w)+((Vd^2)/(2*[g]))+Z2)-((P1/w)+((Vs^2)/(2*[g]))+Z1) or 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). Pressure at pump outlet is the pressure of the fluid at the outlet of the pump, Specific weight of fluid in pump is the weight of fluid per unit volume, Velocity in Delivery Pipe is the velocity of the liquid flowing through the delivery pipe, Datum Head at Pump Outlet is the vertical height of the pump outlet from the datum line, Pressure at pump inlet is the pressure of the fluid at the inlet of the pump, Velocity in Suction Pipe is the velocity of liquid in suction pipe & Datum Head at Pump Inlet is the vertical height of the pump inlet from the datum line.
How to calculate Manometric Head using Total Head at Outlet and Inlet of Pump?
The Manometric Head using Total Head at Outlet and Inlet of Pump formula is defined as the difference between the pressure head, velocity head and datum head at the outlet and inlet of the pump is calculated using 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). To calculate Manometric Head using Total Head at Outlet and Inlet of Pump, you need Pressure at Pump Outlet (P2), Specific weight of fluid in pump (w), Velocity in Delivery Pipe (Vd), Datum Head at Pump Outlet (Z2), Pressure at pump inlet (P1), Velocity in Suction Pipe (Vs) & Datum Head at Pump Inlet (Z1). With our tool, you need to enter the respective value for Pressure at Pump Outlet, Specific weight of fluid in pump, Velocity in Delivery Pipe, Datum Head at Pump Outlet, Pressure at pump inlet, Velocity in Suction Pipe & Datum Head at Pump Inlet 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 Pressure at Pump Outlet, Specific weight of fluid in pump, Velocity in Delivery Pipe, Datum Head at Pump Outlet, Pressure at pump inlet, Velocity in Suction Pipe & Datum Head at Pump Inlet. 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 = (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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