Diameter of delivery pipe Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of delivery pipe of pump = sqrt((4*Actual discharge at centrifugal pump outlet)/(pi*Velocity in Delivery Pipe))
Dd = sqrt((4*Q)/(pi*Vd))
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Diameter of delivery pipe of pump - (Measured in Meter) - Diameter of delivery pipe of pump is the diameter of cross-section of the circular pipe at the delivery side of the pump.
Actual discharge at centrifugal pump outlet - (Measured in Cubic Meter per Second) - Actual discharge at centrifugal pump outlet is the actual amount of the liquid outflow from the outlet of the centrifugal pump.
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
Actual discharge at centrifugal pump outlet: 0.056 Cubic Meter per Second --> 0.056 Cubic Meter per Second 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
Dd = sqrt((4*Q)/(pi*Vd)) --> sqrt((4*0.056)/(pi*5.23))
Evaluating ... ...
Dd = 0.116761113600256
STEP 3: Convert Result to Output's Unit
0.116761113600256 Meter --> No Conversion Required
FINAL ANSWER
0.116761113600256 0.116761 Meter <-- Diameter of delivery pipe of pump
(Calculation completed in 00.004 seconds)

Credits

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Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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Verified by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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19 Geometric and Flow Parameters Calculators

Mechanical efficiency given Specific Weight of Liquid
​ Go Mechanical efficiency of centrifugal pump = (Specific weight of fluid in pump*(Actual discharge at centrifugal pump outlet+Leakage of Liquid from Impeller)*(Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet/[g]))/Input power to centrifugal pump
Overall efficiency
​ Go Overall efficiency of centrifugal pump = (Specific weight of fluid in pump*Actual discharge at centrifugal pump outlet*Manometric Head of Centrifugal Pump)/Input power to centrifugal pump
Flow velocity at outlet given volume of liquid
​ Go Flow velocity at outlet of centrifugal pump = Actual discharge at centrifugal pump outlet/(pi*Diameter of centrifugal pump impeller at outlet*Width of Impeller at Outlet)
Volume of liquid at outlet
​ Go Actual discharge at centrifugal pump outlet = pi*Diameter of centrifugal pump impeller at outlet*Width of Impeller at Outlet*Flow velocity at outlet of centrifugal pump
Flow velocity at inlet given volume of liquid
​ Go Flow velocity at inlet of centrifugal pump = Actual discharge at centrifugal pump outlet/(pi*Diameter of centrifugal pump impeller at inlet*Width of Impeller at Inlet)
Volume of liquid at inlet
​ Go Actual discharge at centrifugal pump outlet = pi*Diameter of centrifugal pump impeller at inlet*Width of Impeller at Inlet*Flow velocity at inlet of centrifugal pump
Thoma's cavitation factor
​ Go Thoma's Cavitation Factor = (Atmospheric Pressure Head for Pump-Suction head of centrifugal pump-Vapour Pressure Head)/Manometric Head of Centrifugal Pump
Leakage of Liquid given Volumetric Efficiency and Discharge
​ Go Leakage of Liquid from Impeller = (Actual discharge at centrifugal pump outlet/Volumetric efficiency of centrifugal pump)-Actual discharge at centrifugal pump outlet
Torque at outlet
​ Go Torque at Centrifugal Pump Outlet = (Weight of liquid in pump/[g])*Velocity of Whirl at Outlet*Radius of Impeller at Outlet
Flow velocity given flow ratio
​ Go Flow velocity at outlet of centrifugal pump = Flow ratio centrifugal pump*sqrt(2*[g]*Manometric Head of Centrifugal Pump)
Flow ratio
​ Go Flow ratio centrifugal pump = Flow velocity at outlet of centrifugal pump/sqrt(2*[g]*Manometric Head of Centrifugal Pump)
Diameter of delivery pipe
​ Go Diameter of delivery pipe of pump = sqrt((4*Actual discharge at centrifugal pump outlet)/(pi*Velocity in Delivery Pipe))
Speed ratio
​ Go Speed ratio centrifugal pump = Tangential Velocity of Impeller at Outlet/sqrt(2*[g]*Manometric Head of Centrifugal Pump)
Diameter of suction pipe
​ Go Diameter of suction pipe of pump = sqrt((4*Actual discharge at centrifugal pump outlet)/(pi*Velocity in Suction Pipe))
Net positive suction head
​ Go Net Positive Suction Head of Centrifugal Pump = Atmospheric Pressure Head for Pump-Static Head of Centrifugal Pump-Vapour Pressure Head
Thoma's Cavitation factor given Net Positive Suction Head
​ Go Thoma's Cavitation Factor = Net Positive Suction Head of Centrifugal Pump/Manometric Head of Centrifugal Pump
Weight of liquid
​ Go Weight of liquid in pump = Specific Weight of Liquid*Actual discharge at centrifugal pump outlet
Static head
​ Go Static Head of Centrifugal Pump = Suction head of centrifugal pump+Delivery head of pump
Vane efficiency
​ Go Vane Efficiency = Actual Head of Pump/Euler Head of Pump

Diameter of delivery pipe Formula

Diameter of delivery pipe of pump = sqrt((4*Actual discharge at centrifugal pump outlet)/(pi*Velocity in Delivery Pipe))
Dd = sqrt((4*Q)/(pi*Vd))

What is the general value of vane efficiency in centrifugal pumps?

It has been observed through experiments that as the number of vanes is increased the value of ε increases and approaches unity. The value of ε, in addition to number of vanes, depends on the shape of the vane and the outlet vane angle. In general, for radial flow pumps the value of ε varies from 0.6 to 0.8 as the number of vanes is increased from 4 to 12. However, for impeller with vanes more than 24 the value of ε may be taken as unity, unless mentioned otherwise.

How to Calculate Diameter of delivery pipe?

Diameter of delivery pipe calculator uses Diameter of delivery pipe of pump = sqrt((4*Actual discharge at centrifugal pump outlet)/(pi*Velocity in Delivery Pipe)) to calculate the Diameter of delivery pipe of pump, The Diameter of delivery pipe formula is defined as the square root of ratio of 4 times the discharge to pi times the velocity in delivery pipe. Diameter of delivery pipe of pump is denoted by Dd symbol.

How to calculate Diameter of delivery pipe using this online calculator? To use this online calculator for Diameter of delivery pipe, enter Actual discharge at centrifugal pump outlet (Q) & Velocity in Delivery Pipe (Vd) and hit the calculate button. Here is how the Diameter of delivery pipe calculation can be explained with given input values -> 0.116761 = sqrt((4*0.056)/(pi*5.23)).

FAQ

What is Diameter of delivery pipe?
The Diameter of delivery pipe formula is defined as the square root of ratio of 4 times the discharge to pi times the velocity in delivery pipe and is represented as Dd = sqrt((4*Q)/(pi*Vd)) or Diameter of delivery pipe of pump = sqrt((4*Actual discharge at centrifugal pump outlet)/(pi*Velocity in Delivery Pipe)). Actual discharge at centrifugal pump outlet is the actual amount of the liquid outflow from the outlet of the centrifugal pump & Velocity in Delivery Pipe is the velocity of the liquid flowing through the delivery pipe.
How to calculate Diameter of delivery pipe?
The Diameter of delivery pipe formula is defined as the square root of ratio of 4 times the discharge to pi times the velocity in delivery pipe is calculated using Diameter of delivery pipe of pump = sqrt((4*Actual discharge at centrifugal pump outlet)/(pi*Velocity in Delivery Pipe)). To calculate Diameter of delivery pipe, you need Actual discharge at centrifugal pump outlet (Q) & Velocity in Delivery Pipe (Vd). With our tool, you need to enter the respective value for Actual discharge at centrifugal pump outlet & 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.
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