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Discharge of pump given specific speed Formula

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

Q = {(N s \cdot \frac{{H m}^{\frac{3}{4}}}{ω})}^{2}

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

Discharge of pump given specific speed Example

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Here is how the Discharge of pump given specific speed equation looks like with Values.

Here is how the Discharge of pump given specific speed equation looks like with Units.

Here is how the Discharge of pump given specific speed equation looks like.

0.0558 = {(3.75 \cdot \frac{{25.3}^{\frac{3}{4}}}{179.07})}^{2}

0.0558m³/s = {(3.75rad/s \cdot \frac{{25.3m}^{\frac{3}{4}}}{179.07rad/s})}^{2}

0.0558 = {(3.75 \cdot \frac{{25.3}^{\frac{3}{4}}}{179.07})}^{2}

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Discharge of pump given specific speed Solution

Follow our step by step solution on how to calculate Discharge of pump given specific speed?

FIRST Step Consider the formula

Q = {(N s \cdot \frac{{H m}^{\frac{3}{4}}}{ω})}^{2}

Next Step Substitute values of Variables

∴

Q = {(3.75rad/s \cdot \frac{{25.3m}^{\frac{3}{4}}}{179.07rad/s})}^{2}

Next Step Prepare to Evaluate

∴

Q = {(3.75 \cdot \frac{{25.3}^{\frac{3}{4}}}{179.07})}^{2}

Next Step Evaluate

∴

Q = 0.0558081530571735m³/s

LAST Step Rounding Answer

∴

Q = 0.0558m³/s

Discharge of pump given specific speed Formula Elements

Variables

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

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

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 Discharge of pump given specific speed?

Discharge of pump given specific speed evaluator uses Actual Discharge at Centrifugal Pump Outlet = (Specific Speed of Centrifugal Pump*(Manometric Head of Centrifugal Pump^(3/4))/Angular Velocity)^2 to evaluate the Actual Discharge at Centrifugal Pump Outlet, Discharge of pump given specific speed formula is defined as a measure of the volumetric flow rate of a pump, which is a critical parameter in pump design and performance evaluation, and is influenced by the specific speed of the pump and the head of the pump. Actual Discharge at Centrifugal Pump Outlet is denoted by Q symbol.

How to evaluate Discharge of pump given specific speed using this online evaluator? To use this online evaluator for Discharge of pump given specific speed, enter Specific Speed of Centrifugal Pump (N_s), Manometric Head of Centrifugal Pump (H_m) & Angular Velocity (ω) and hit the calculate button.

FAQs on Discharge of pump given specific speed

What is the formula to find Discharge of pump given specific speed?

The formula of Discharge of pump given specific speed is expressed as Actual Discharge at Centrifugal Pump Outlet = (Specific Speed of Centrifugal Pump*(Manometric Head of Centrifugal Pump^(3/4))/Angular Velocity)^2. Here is an example- 0.055808 = (3.75*(25.3^(3/4))/179.07)^2.

How to calculate Discharge of pump given specific speed?

With Specific Speed of Centrifugal Pump (N_s), Manometric Head of Centrifugal Pump (H_m) & Angular Velocity (ω) we can find Discharge of pump given specific speed using the formula - Actual Discharge at Centrifugal Pump Outlet = (Specific Speed of Centrifugal Pump*(Manometric Head of Centrifugal Pump^(3/4))/Angular Velocity)^2.

Can the Discharge of pump given specific speed be negative?

No, the Discharge of pump given specific speed, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge of pump given specific speed?

Discharge of pump given specific speed is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Discharge of pump given specific speed can be measured.

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Discharge of pump given specific speed Formula

Discharge of pump given specific speed Example

Discharge of pump given specific speed Solution

Discharge of pump given specific speed Formula Elements

Other formulas in Pump Parameters category

How to Evaluate Discharge of pump given specific speed?

FAQs on Discharge of pump given specific speed

Variable Name