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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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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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 Nishan Poojary

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

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

< Geometric and Flow Parameters Calculators

Volume of liquid at inlet

LaTeX 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

Speed ratio

LaTeX Go Speed Ratio Centrifugal Pump = Tangential Velocity of Impeller at Outlet/sqrt(2*[g]*Manometric Head of Centrifugal Pump)

Weight of liquid

LaTeX Go Weight of Liquid in Pump = Specific Weight of Liquid*Actual Discharge at Centrifugal Pump Outlet

Static head

LaTeX Go Static Head of Centrifugal Pump = Suction Head of Centrifugal Pump+Delivery Head of Pump

Speed ratio Formula

LaTeX Go

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, Speed ratio formula is defined as a dimensionless quantity that characterizes the flow behavior in a centrifugal pump, providing a relationship between the peripheral velocity of the impeller and the spouting velocity of the fluid, which is essential for designing and optimizing pump performance. 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?

Speed ratio formula is defined as a dimensionless quantity that characterizes the flow behavior in a centrifugal pump, providing a relationship between the peripheral velocity of the impeller and the spouting velocity of the fluid, which is essential for designing and optimizing pump performance 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?

Speed ratio formula is defined as a dimensionless quantity that characterizes the flow behavior in a centrifugal pump, providing a relationship between the peripheral velocity of the impeller and the spouting velocity of the fluid, which is essential for designing and optimizing pump performance 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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