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Minimum speed for starting centrifugal pump Formula

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Minimum Speed for Starting Centrifugal Pump is the minimum required speed at which the pump impeller should rotate for starting of suction for the pump. Check FAQs

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})

N_min - Minimum Speed for Starting Centrifugal Pump?η_m - Manometric Efficiency of Centrifugal Pump?V_w2 - Velocity of Whirl at Outlet?D₂ - Diameter of Centrifugal Pump Impeller at Outlet?D₁ - Diameter of Centrifugal Pump Impeller at Inlet?π - Archimedes' constant?

Minimum speed for starting centrifugal pump Example

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Here is how the Minimum speed for starting centrifugal pump equation looks like with Values.

Here is how the Minimum speed for starting centrifugal pump equation looks like with Units.

Here is how the Minimum speed for starting centrifugal pump equation looks like.

36.3781 = \frac{120 \cdot 0.82 \cdot 16 \cdot 0.28}{3.1416 \cdot ({0.28}^{2} - {0.19}^{2})} \cdot (\frac{2 \cdot 3.1416}{60})

36.3781rad/s = \frac{120 \cdot 0.82 \cdot 16m/s \cdot 0.28m}{3.1416 \cdot ({0.28m}^{2} - {0.19m}^{2})} \cdot (\frac{2 \cdot 3.1416}{60})

36.3781 = \frac{120 \cdot 0.82 \cdot 16 \cdot 0.28}{3.1416 \cdot ({0.28}^{2} - {0.19}^{2})} \cdot (\frac{2 \cdot 3.1416}{60})

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Minimum speed for starting centrifugal pump Solution

Follow our step by step solution on how to calculate Minimum speed for starting centrifugal pump?

FIRST Step Consider the formula

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})

Next Step Substitute values of Variables

∴

N min = \frac{120 \cdot 0.82 \cdot 16m/s \cdot 0.28m}{π \cdot ({0.28m}^{2} - {0.19m}^{2})} \cdot (\frac{2 \cdot π}{60})

Next Step Substitute values of Constants

∴

N min = \frac{120 \cdot 0.82 \cdot 16m/s \cdot 0.28m}{3.1416 \cdot ({0.28m}^{2} - {0.19m}^{2})} \cdot (\frac{2 \cdot 3.1416}{60})

Next Step Prepare to Evaluate

∴

N min = \frac{120 \cdot 0.82 \cdot 16 \cdot 0.28}{3.1416 \cdot ({0.28}^{2} - {0.19}^{2})} \cdot (\frac{2 \cdot 3.1416}{60})

Next Step Evaluate

∴

N min = 36.3781080272333rad/s

LAST Step Rounding Answer

∴

N min = 36.3781rad/s

Minimum speed for starting centrifugal pump Formula Elements

Variables

Constants

Minimum Speed for Starting Centrifugal Pump

Minimum Speed for Starting Centrifugal Pump is the minimum required speed at which the pump impeller should rotate for starting of suction for the pump.

Symbol: N_min

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Minimum Speed for Starting Centrifugal Pump

Manometric Efficiency of Centrifugal Pump

Manometric Efficiency of Centrifugal Pump is the ratio of manometric head and head imparted by the impeller.

Symbol: η_m

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Manometric Efficiency of Centrifugal Pump

Velocity of Whirl at Outlet

The Velocity of Whirl at Outlet is the tangential component of absolute velocity at the blade outlet.

Symbol: V_w2

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Whirl at Outlet

Diameter of Centrifugal Pump Impeller at Outlet

Diameter of centrifugal pump impeller at outlet is the diameter of the impeller at the outlet of the centrifugal pump.

Symbol: D₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Centrifugal Pump Impeller at Outlet

Diameter of Centrifugal Pump Impeller at Inlet

Diameter of centrifugal pump impeller at inlet is the diameter of the impeller at the inlet of the centrifugal pump.

Symbol: D₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Centrifugal Pump Impeller at Inlet

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Pump Parameters category

Go Angular Velocity of Centrifugal Pump

ω = \frac{2 \cdot π \cdot N r}{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}

Go Static power

P = \frac{w \cdot Q \cdot H st}{1000}

How to Evaluate Minimum speed for starting centrifugal pump?

Minimum speed for starting centrifugal pump evaluator uses Minimum Speed for Starting Centrifugal Pump = (120*Manometric Efficiency of Centrifugal Pump*Velocity of Whirl at Outlet*Diameter of Centrifugal Pump Impeller at Outlet)/(pi*(Diameter of Centrifugal Pump Impeller at Outlet^2-Diameter of Centrifugal Pump Impeller at Inlet^2))*((2*pi)/60) to evaluate the Minimum Speed for Starting Centrifugal Pump, Minimum speed for starting centrifugal pump formula is defined as the lowest speed required for a centrifugal pump to start functioning efficiently, taking into account the pump's parameters such as motor efficiency, water flow rate, and impeller diameters, to ensure a smooth and effective pumping operation. Minimum Speed for Starting Centrifugal Pump is denoted by N_min symbol.

How to evaluate Minimum speed for starting centrifugal pump using this online evaluator? To use this online evaluator for Minimum speed for starting centrifugal pump, enter Manometric Efficiency of Centrifugal Pump (η_m), Velocity of Whirl at Outlet (V_w2), Diameter of Centrifugal Pump Impeller at Outlet (D₂) & Diameter of Centrifugal Pump Impeller at Inlet (D₁) and hit the calculate button.

FAQs on Minimum speed for starting centrifugal pump

What is the formula to find Minimum speed for starting centrifugal pump?

The formula of Minimum speed for starting centrifugal pump is expressed as Minimum Speed for Starting Centrifugal Pump = (120*Manometric Efficiency of Centrifugal Pump*Velocity of Whirl at Outlet*Diameter of Centrifugal Pump Impeller at Outlet)/(pi*(Diameter of Centrifugal Pump Impeller at Outlet^2-Diameter of Centrifugal Pump Impeller at Inlet^2))*((2*pi)/60). Here is an example- 36.37811 = (120*0.82*16*0.28)/(pi*(0.28^2-0.19^2))*((2*pi)/60).

How to calculate Minimum speed for starting centrifugal pump?

With Manometric Efficiency of Centrifugal Pump (η_m), Velocity of Whirl at Outlet (V_w2), Diameter of Centrifugal Pump Impeller at Outlet (D₂) & Diameter of Centrifugal Pump Impeller at Inlet (D₁) we can find Minimum speed for starting centrifugal pump using the formula - Minimum Speed for Starting Centrifugal Pump = (120*Manometric Efficiency of Centrifugal Pump*Velocity of Whirl at Outlet*Diameter of Centrifugal Pump Impeller at Outlet)/(pi*(Diameter of Centrifugal Pump Impeller at Outlet^2-Diameter of Centrifugal Pump Impeller at Inlet^2))*((2*pi)/60). This formula also uses Archimedes' constant .

Can the Minimum speed for starting centrifugal pump be negative?

No, the Minimum speed for starting centrifugal pump, measured in Angular Velocity cannot be negative.

Which unit is used to measure Minimum speed for starting centrifugal pump?

Minimum speed for starting centrifugal 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 Minimum speed for starting centrifugal pump can be measured.

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Minimum speed for starting centrifugal pump Formula

Minimum speed for starting centrifugal pump Example

Minimum speed for starting centrifugal pump Solution

Minimum speed for starting centrifugal pump Formula Elements

Other formulas in Pump Parameters category

How to Evaluate Minimum speed for starting centrifugal pump?

FAQs on Minimum speed for starting centrifugal pump

Variable Name