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Speed ratio Formula

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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. Check FAQs

K u = \frac{u 2}{\sqrt{2 \cdot [g] \cdot H m}}

K_u - Speed Ratio Centrifugal Pump?u₂ - Tangential Velocity of Impeller at Outlet?H_m - Manometric Head of Centrifugal Pump?[g] - Gravitational acceleration on Earth?

Speed ratio Example

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Here is how the Speed ratio equation looks like with Values.

Here is how the Speed ratio equation looks like with Units.

Here is how the Speed ratio equation looks like.

0.8529 = \frac{19}{\sqrt{2 \cdot 9.8066 \cdot 25.3}}

0.8529 = \frac{19m/s}{\sqrt{2 \cdot 9.8066m/s² \cdot 25.3m}}

0.8529 = \frac{19}{\sqrt{2 \cdot 9.8066 \cdot 25.3}}

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Speed ratio Solution

Follow our step by step solution on how to calculate Speed ratio?

FIRST Step Consider the formula

K u = \frac{u 2}{\sqrt{2 \cdot [g] \cdot H m}}

Next Step Substitute values of Variables

∴

K u = \frac{19m/s}{\sqrt{2 \cdot [g] \cdot 25.3m}}

Next Step Substitute values of Constants

∴

K u = \frac{19m/s}{\sqrt{2 \cdot 9.8066m/s² \cdot 25.3m}}

Next Step Prepare to Evaluate

∴

K u = \frac{19}{\sqrt{2 \cdot 9.8066 \cdot 25.3}}

Next Step Evaluate

∴

K u = 0.852939063021114

LAST Step Rounding Answer

∴

K u = 0.8529

Speed ratio Formula Elements

Variables

Constants

Functions

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.

Symbol: K_u

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Speed Ratio Centrifugal Pump

Tangential Velocity of Impeller at Outlet

The Tangential Velocity of Impeller at Outlet is the velocity of the impeller at the fluid outlet.

Symbol: u₂

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Tangential Velocity of Impeller at Outlet

Manometric Head of Centrifugal Pump

The Manometric Head of Centrifugal Pump is the head against which the centrifugal pump has to work.

Symbol: H_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Manometric Head of Centrifugal Pump

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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.

Syntax: sqrt(Number)

Other formulas in Geometric and Flow Parameters category

Go Volume of liquid at inlet

Q = π \cdot D 1 \cdot B 1 \cdot V f1

Go Weight of liquid

W l = y \cdot Q

Go Static head

H st = h s + h d

Go Volume of liquid at outlet

Q = π \cdot D 2 \cdot B 2 \cdot V f2

How to Evaluate Speed ratio?

Speed ratio evaluator uses Speed Ratio Centrifugal Pump = Tangential Velocity of Impeller at Outlet/sqrt(2*[g]*Manometric Head of Centrifugal Pump) to evaluate 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 evaluate Speed ratio using this online evaluator? To use this online evaluator for Speed ratio, enter Tangential Velocity of Impeller at Outlet (u₂) & Manometric Head of Centrifugal Pump (H_m) and hit the calculate button.

FAQs on Speed ratio

What is the formula to find Speed ratio?

The formula of Speed ratio is expressed as Speed Ratio Centrifugal Pump = Tangential Velocity of Impeller at Outlet/sqrt(2*[g]*Manometric Head of Centrifugal Pump). Here is an example- 0.852939 = 19/sqrt(2*[g]*25.3).

How to calculate Speed ratio?

With Tangential Velocity of Impeller at Outlet (u₂) & Manometric Head of Centrifugal Pump (H_m) we can find Speed ratio using the formula - Speed Ratio Centrifugal Pump = Tangential Velocity of Impeller at Outlet/sqrt(2*[g]*Manometric Head of Centrifugal Pump). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

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Speed ratio Formula

Speed ratio Example

Speed ratio Solution

Speed ratio Formula Elements

Other formulas in Geometric and Flow Parameters category

How to Evaluate Speed ratio?

FAQs on Speed ratio

Variable Name