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Specific Speed of Pump Formula

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The Specific Speed of Centrifugal Pump is defined as the speed of a geometrically similar pump that would deliver one cubic meter of liquid per second against a head of one meter. Check FAQs

N s = \frac{ω \cdot \sqrt{Q}}{{H m}^{\frac{3}{4}}}

N_s - Specific Speed of Centrifugal Pump?ω - Angular Velocity?Q - Actual Discharge at Centrifugal Pump Outlet?H_m - Manometric Head of Centrifugal Pump?

Specific Speed of Pump Example

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Here is how the Specific Speed of Pump equation looks like with Values.

Here is how the Specific Speed of Pump equation looks like with Units.

Here is how the Specific Speed of Pump equation looks like.

3.7564 = \frac{179.07 \cdot \sqrt{0.056}}{{25.3}^{\frac{3}{4}}}

3.7564rad/s = \frac{179.07rad/s \cdot \sqrt{0.056m³/s}}{{25.3m}^{\frac{3}{4}}}

3.7564 = \frac{179.07 \cdot \sqrt{0.056}}{{25.3}^{\frac{3}{4}}}

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Specific Speed of Pump Solution

Follow our step by step solution on how to calculate Specific Speed of Pump?

FIRST Step Consider the formula

N s = \frac{ω \cdot \sqrt{Q}}{{H m}^{\frac{3}{4}}}

Next Step Substitute values of Variables

∴

N s = \frac{179.07rad/s \cdot \sqrt{0.056m³/s}}{{25.3m}^{\frac{3}{4}}}

Next Step Prepare to Evaluate

∴

N s = \frac{179.07 \cdot \sqrt{0.056}}{{25.3}^{\frac{3}{4}}}

Next Step Evaluate

∴

N s = 3.7564399982728rad/s

LAST Step Rounding Answer

∴

N s = 3.7564rad/s

Specific Speed of Pump Formula Elements

Variables

Functions

Specific Speed of Centrifugal Pump

The Specific Speed of Centrifugal Pump is defined as the speed of a geometrically similar pump that would deliver one cubic meter of liquid per second against a head of one meter.

Symbol: N_s

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Specific Speed of Centrifugal Pump

Angular Velocity

The Angular Velocity of Centrifugal Pump refers to how fast the pump impeller rotates.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Velocity

Actual Discharge at Centrifugal Pump Outlet

Actual discharge at centrifugal pump outlet is the actual amount of the liquid outflow from the outlet of the centrifugal pump.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Actual Discharge at Centrifugal Pump 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

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 Pump Parameters category

Go Angular Velocity of Centrifugal Pump

ω = \frac{2 \cdot π \cdot N r}{60}

Go Minimum speed for starting centrifugal pump

N min = \frac{120 \cdot η m \cdot V w2 \cdot D 2}{π \cdot ({D 2}^{2} - {D 1}^{2})} \cdot (\frac{2 \cdot π}{60})

Go Volumetric Efficiency of Pump given Discharge and Leakage of Liquid

η vol = \frac{Q}{Q + q}

Go Output power

OP = \frac{w \cdot Q \cdot H m}{1000}

How to Evaluate Specific Speed of Pump?

Specific Speed of Pump evaluator uses Specific Speed of Centrifugal Pump = (Angular Velocity*sqrt(Actual Discharge at Centrifugal Pump Outlet))/(Manometric Head of Centrifugal Pump^(3/4)) to evaluate the Specific Speed of Centrifugal Pump, Specific Speed of Pump formula is defined as a dimensionless quantity that characterizes a pump's performance, providing a way to classify and compare different pumps based on their operating characteristics, such as rotational speed, flow rate, and head, allowing for efficient design and selection of pumps for various applications. Specific Speed of Centrifugal Pump is denoted by N_s symbol.

How to evaluate Specific Speed of Pump using this online evaluator? To use this online evaluator for Specific Speed of Pump, enter Angular Velocity (ω), Actual Discharge at Centrifugal Pump Outlet (Q) & Manometric Head of Centrifugal Pump (H_m) and hit the calculate button.

FAQs on Specific Speed of Pump

What is the formula to find Specific Speed of Pump?

The formula of Specific Speed of Pump is expressed as Specific Speed of Centrifugal Pump = (Angular Velocity*sqrt(Actual Discharge at Centrifugal Pump Outlet))/(Manometric Head of Centrifugal Pump^(3/4)). Here is an example- 3.75644 = (179.07*sqrt(0.056))/(25.3^(3/4)).

How to calculate Specific Speed of Pump?

With Angular Velocity (ω), Actual Discharge at Centrifugal Pump Outlet (Q) & Manometric Head of Centrifugal Pump (H_m) we can find Specific Speed of Pump using the formula - Specific Speed of Centrifugal Pump = (Angular Velocity*sqrt(Actual Discharge at Centrifugal Pump Outlet))/(Manometric Head of Centrifugal Pump^(3/4)). This formula also uses Square Root (sqrt) function(s).

Can the Specific Speed of Pump be negative?

No, the Specific Speed of Pump, measured in Angular Velocity cannot be negative.

Which unit is used to measure Specific Speed of Pump?

Specific Speed of Pump is usually measured using the Radian per Second[rad/s] for Angular Velocity. Radian per Day[rad/s], Radian per Hour[rad/s], Radian per Minute[rad/s] are the few other units in which Specific Speed of Pump can be measured.

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Specific Speed of Pump Formula

Specific Speed of Pump Example

Specific Speed of Pump Solution

Specific Speed of Pump Formula Elements

Other formulas in Pump Parameters category

How to Evaluate Specific Speed of Pump?

FAQs on Specific Speed of Pump

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