Mechanical efficiency given Specific Weight of Liquid Formula

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Mechanical efficiency of centrifugal pump is the ratio of the power delivered by the impeller to the liquid to the power input to the pump shaft. Check FAQs
ηcp=w(Q+q)(Vw2u2[g])Pin
ηcp - Mechanical Efficiency of Centrifugal Pump?w - Specific Weight of Fluid in Pump?Q - Actual Discharge at Centrifugal Pump Outlet?q - Leakage of Liquid from Impeller?Vw2 - Velocity of Whirl at Outlet?u2 - Tangential Velocity of Impeller at Outlet?Pin - Input Power to Centrifugal Pump?[g] - Gravitational acceleration on Earth?

Mechanical efficiency given Specific Weight of Liquid Example

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With units
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Here is how the Mechanical efficiency given Specific Weight of Liquid equation looks like with Values.

Here is how the Mechanical efficiency given Specific Weight of Liquid equation looks like with Units.

Here is how the Mechanical efficiency given Specific Weight of Liquid equation looks like.

0.5686Edit=9.81Edit(0.056Edit+0.0029Edit)(16Edit19Edit9.8066)31.5Edit
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Mechanical efficiency given Specific Weight of Liquid Solution

Follow our step by step solution on how to calculate Mechanical efficiency given Specific Weight of Liquid?

FIRST Step Consider the formula
ηcp=w(Q+q)(Vw2u2[g])Pin
Next Step Substitute values of Variables
ηcp=9.81kN/m³(0.056m³/s+0.0029m³/s)(16m/s19m/s[g])31.5kW
Next Step Substitute values of Constants
ηcp=9.81kN/m³(0.056m³/s+0.0029m³/s)(16m/s19m/s9.8066m/s²)31.5kW
Next Step Convert Units
ηcp=9810N/m³(0.056m³/s+0.0029m³/s)(16m/s19m/s9.8066m/s²)31500W
Next Step Prepare to Evaluate
ηcp=9810(0.056+0.0029)(16199.8066)31500
Next Step Evaluate
ηcp=0.568625925119325
LAST Step Rounding Answer
ηcp=0.5686

Mechanical efficiency given Specific Weight of Liquid Formula Elements

Variables
Constants
Mechanical Efficiency of Centrifugal Pump
Mechanical efficiency of centrifugal pump is the ratio of the power delivered by the impeller to the liquid to the power input to the pump shaft.
Symbol: ηcp
Measurement: NAUnit: Unitless
Note: Value should be less than 1.
Specific Weight of Fluid in Pump
Specific weight of fluid in pump is the weight of fluid per unit volume.
Symbol: w
Measurement: Specific WeightUnit: kN/m³
Note: Value should be greater than 0.
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.
Leakage of Liquid from Impeller
Leakage of Liquid from Impeller is the amount of the fluid or liquid leaking from the impeller per second.
Symbol: q
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value should be greater than 0.
Velocity of Whirl at Outlet
The Velocity of Whirl at Outlet is the tangential component of absolute velocity at the blade outlet.
Symbol: Vw2
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
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.
Input Power to Centrifugal Pump
Input power to centrifugal pump is the power at the input or the inlet of a centrifugal pump.
Symbol: Pin
Measurement: PowerUnit: kW
Note: Value should be greater than 0.
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

Other formulas in Geometric and Flow Parameters category

​Go Speed ratio
Ku=u22[g]Hm
​Go Volume of liquid at inlet
Q=πD1B1Vf1

How to Evaluate Mechanical efficiency given Specific Weight of Liquid?

Mechanical efficiency given Specific Weight of Liquid evaluator uses Mechanical Efficiency of Centrifugal Pump = (Specific Weight of Fluid in Pump*(Actual Discharge at Centrifugal Pump Outlet+Leakage of Liquid from Impeller)*(Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet/[g]))/Input Power to Centrifugal Pump to evaluate the Mechanical Efficiency of Centrifugal Pump, Mechanical efficiency given Specific Weight of Liquid formula is defined as the ratio of output power to input power of a centrifugal pump, providing a measure of the pump's ability to convert input energy into useful hydraulic energy. Mechanical Efficiency of Centrifugal Pump is denoted by ηcp symbol.

How to evaluate Mechanical efficiency given Specific Weight of Liquid using this online evaluator? To use this online evaluator for Mechanical efficiency given Specific Weight of Liquid, enter Specific Weight of Fluid in Pump (w), Actual Discharge at Centrifugal Pump Outlet (Q), Leakage of Liquid from Impeller (q), Velocity of Whirl at Outlet (Vw2), Tangential Velocity of Impeller at Outlet (u2) & Input Power to Centrifugal Pump (Pin) and hit the calculate button.

FAQs on Mechanical efficiency given Specific Weight of Liquid

What is the formula to find Mechanical efficiency given Specific Weight of Liquid?
The formula of Mechanical efficiency given Specific Weight of Liquid is expressed as Mechanical Efficiency of Centrifugal Pump = (Specific Weight of Fluid in Pump*(Actual Discharge at Centrifugal Pump Outlet+Leakage of Liquid from Impeller)*(Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet/[g]))/Input Power to Centrifugal Pump. Here is an example- 0.568626 = (9810*(0.056+0.0029)*(16*19/[g]))/31500.
How to calculate Mechanical efficiency given Specific Weight of Liquid?
With Specific Weight of Fluid in Pump (w), Actual Discharge at Centrifugal Pump Outlet (Q), Leakage of Liquid from Impeller (q), Velocity of Whirl at Outlet (Vw2), Tangential Velocity of Impeller at Outlet (u2) & Input Power to Centrifugal Pump (Pin) we can find Mechanical efficiency given Specific Weight of Liquid using the formula - Mechanical Efficiency of Centrifugal Pump = (Specific Weight of Fluid in Pump*(Actual Discharge at Centrifugal Pump Outlet+Leakage of Liquid from Impeller)*(Velocity of Whirl at Outlet*Tangential Velocity of Impeller at Outlet/[g]))/Input Power to Centrifugal Pump. This formula also uses Gravitational acceleration on Earth constant(s).
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