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Head of Pump given Specific Speed Formula

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

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

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

Head of Pump given Specific Speed Example

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

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

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

25.3579 = {(179.07 \cdot \frac{\sqrt{0.056}}{3.75})}^{\frac{4}{3}}

25.3579m = {(179.07rad/s \cdot \frac{\sqrt{0.056m³/s}}{3.75rad/s})}^{\frac{4}{3}}

25.3579 = {(179.07 \cdot \frac{\sqrt{0.056}}{3.75})}^{\frac{4}{3}}

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Head of Pump given Specific Speed Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H m = {(179.07rad/s \cdot \frac{\sqrt{0.056m³/s}}{3.75rad/s})}^{\frac{4}{3}}

Next Step Prepare to Evaluate

∴

H m = {(179.07 \cdot \frac{\sqrt{0.056}}{3.75})}^{\frac{4}{3}}

Next Step Evaluate

∴

H m = 25.3579479371561m

LAST Step Rounding Answer

∴

H m = 25.3579m

Head of Pump given Specific Speed Formula Elements

Variables

Functions

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

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

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

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 Head of Pump given Specific Speed?

Head of Pump given Specific Speed evaluator uses Manometric Head of Centrifugal Pump = (Angular Velocity*sqrt(Actual Discharge at Centrifugal Pump Outlet)/Specific Speed of Centrifugal Pump)^(4/3) to evaluate the Manometric Head of Centrifugal Pump, Head of Pump given Specific Speed formula is defined as the measure of the pump's head, which is the maximum height to which the pump can push a fluid, calculated based on the specific speed of the pump, which is a dimensionless quantity that characterizes the pump's performance. Manometric Head of Centrifugal Pump is denoted by H_m symbol.

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

FAQs on Head of Pump given Specific Speed

What is the formula to find Head of Pump given Specific Speed?

The formula of Head of Pump given Specific Speed is expressed as Manometric Head of Centrifugal Pump = (Angular Velocity*sqrt(Actual Discharge at Centrifugal Pump Outlet)/Specific Speed of Centrifugal Pump)^(4/3). Here is an example- 25.35795 = (179.07*sqrt(0.056)/3.75)^(4/3).

How to calculate Head of Pump given Specific Speed?

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

Can the Head of Pump given Specific Speed be negative?

No, the Head of Pump given Specific Speed, measured in Length cannot be negative.

Which unit is used to measure Head of Pump given Specific Speed?

Head of Pump given Specific Speed is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Head of Pump given Specific Speed can be measured.

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Head of Pump given Specific Speed Formula

Head of Pump given Specific Speed Example

Head of Pump given Specific Speed Solution

Head of Pump given Specific Speed Formula Elements

Other formulas in Pump Parameters category

How to Evaluate Head of Pump given Specific Speed?

FAQs on Head of Pump given Specific Speed

Variable Name