Speed ratio Calculator

✖The Tangential Velocity of Impeller at Outlet is the velocity of the impeller at the fluid outlet.ⓘ Tangential Velocity of Impeller at Outlet [u₂]			+10% -10%
✖The Manometric Head of Centrifugal Pump is the head against which the centrifugal pump has to work.ⓘ Manometric Head of Centrifugal Pump [H_m]			+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 [K_u]

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Formula

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Speed ratio

Formula

`"K"_{"u"} = "u"_{"2"}/sqrt(2*"[g]"*"H"_{"m"})`

Example

`"0.852939"="19m/s"/sqrt(2*"[g]"*"25.3m")`

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Speed ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Speed ratio centrifugal pump = Tangential Velocity of Impeller at Outlet/sqrt(2*[g]*Manometric Head of Centrifugal Pump)
K_u = u₂/sqrt(2*[g]*H_m)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

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

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Tangential Velocity of Impeller at Outlet: 19 Meter per Second --> 19 Meter per Second No Conversion Required
Manometric Head of Centrifugal Pump: 25.3 Meter --> 25.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_u = u₂/sqrt(2*[g]*H_m) --> 19/sqrt(2*[g]*25.3)

Evaluating ... ...

K_u = 0.852939063021114

STEP 3: Convert Result to Output's Unit

0.852939063021114 --> No Conversion Required

FINAL ANSWER

0.852939063021114 ≈ 0.852939 <-- Speed ratio centrifugal pump

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Centrifugal Pumps » Geometric and Flow Parameters » Speed ratio

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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 Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has verified this Calculator and 400+ more calculators!

< 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

Speed ratio Formula

Speed ratio centrifugal pump = Tangential Velocity of Impeller at Outlet/sqrt(2*[g]*Manometric Head of Centrifugal Pump)
K_u = u₂/sqrt(2*[g]*H_m)

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. In other words, 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 Speed ratio?

Speed ratio calculator uses Speed ratio centrifugal pump = Tangential Velocity of Impeller at Outlet/sqrt(2*[g]*Manometric Head of Centrifugal Pump) to calculate the Speed ratio centrifugal pump, The Speed ratio formula is defined as the ratio of tangential velocity at the exit to the square root of product of twice the acceleration due to gravity and manometric head. Speed ratio centrifugal pump is denoted by K_u symbol.

How to calculate Speed ratio using this online calculator? To use this online calculator for Speed ratio, enter Tangential Velocity of Impeller at Outlet (u₂) & Manometric Head of Centrifugal Pump (H_m) and hit the calculate button. Here is how the Speed ratio calculation can be explained with given input values -> 0.852939 = 19/sqrt(2*[g]*25.3).

FAQ

What is Speed ratio?

The Speed ratio formula is defined as the ratio of tangential velocity at the exit to the square root of product of twice the acceleration due to gravity and manometric head and is represented as K_u = u₂/sqrt(2*[g]*H_m) or Speed ratio centrifugal pump = Tangential Velocity of Impeller at Outlet/sqrt(2*[g]*Manometric Head of Centrifugal Pump). The Tangential Velocity of Impeller at Outlet is the velocity of the impeller at the fluid outlet & The Manometric Head of Centrifugal Pump is the head against which the centrifugal pump has to work.

How to calculate Speed ratio?

The Speed ratio formula is defined as the ratio of tangential velocity at the exit to the square root of product of twice the acceleration due to gravity and manometric head is calculated using Speed ratio centrifugal pump = Tangential Velocity of Impeller at Outlet/sqrt(2*[g]*Manometric Head of Centrifugal Pump). To calculate Speed ratio, you need Tangential Velocity of Impeller at Outlet (u₂) & Manometric Head of Centrifugal Pump (H_m). With our tool, you need to enter the respective value for Tangential Velocity of Impeller at Outlet & Manometric Head of Centrifugal Pump 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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