Mechanical efficiency given Specific Weight of Liquid Calculator

✖Specific weight of fluid in pump is the weight of fluid per unit volume.ⓘ Specific Weight of Fluid in Pump [w]			+10% -10%
✖Actual discharge at centrifugal pump outlet is the actual amount of the liquid outflow from the outlet of the centrifugal pump.ⓘ Actual Discharge at Centrifugal Pump Outlet [Q]			+10% -10%
✖Leakage of Liquid from Impeller is the amount of the fluid or liquid leaking from the impeller per second.ⓘ Leakage of Liquid from Impeller [q]			+10% -10%
✖The Velocity of Whirl at Outlet is the tangential component of absolute velocity at the blade outlet.ⓘ Velocity of Whirl at Outlet [V_w2]			+10% -10%
✖The Tangential Velocity of Impeller at Outlet is the velocity of the impeller at the fluid outlet.ⓘ Tangential Velocity of Impeller at Outlet [u₂]			+10% -10%
✖Input power to centrifugal pump is the power at the input or the inlet of a centrifugal pump.ⓘ Input Power to Centrifugal Pump [P_in]			+10% -10%

✖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.ⓘ Mechanical efficiency given Specific Weight of Liquid [η_cp]

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Mechanical efficiency given Specific Weight of Liquid Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
η_cp = (w*(Q+q)*(V_w2*u₂/[g]))/P_in
This formula uses 1 Constants, 7 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

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.
Specific Weight of Fluid in Pump - (Measured in Newton per Cubic Meter) - Specific weight of fluid in pump is the weight of fluid per unit volume.
Actual Discharge at Centrifugal Pump Outlet - (Measured in Cubic Meter per Second) - Actual discharge at centrifugal pump outlet is the actual amount of the liquid outflow from the outlet of the centrifugal pump.
Leakage of Liquid from Impeller - (Measured in Cubic Meter per Second) - Leakage of Liquid from Impeller is the amount of the fluid or liquid leaking from the impeller per second.
Velocity of Whirl at Outlet - (Measured in Meter per Second) - The Velocity of Whirl at Outlet is the tangential component of absolute velocity at the blade outlet.
Tangential Velocity of Impeller at Outlet - (Measured in Meter per Second) - The Tangential Velocity of Impeller at Outlet is the velocity of the impeller at the fluid outlet.
Input Power to Centrifugal Pump - (Measured in Watt) - Input power to centrifugal pump is the power at the input or the inlet of a centrifugal pump.

STEP 1: Convert Input(s) to Base Unit

Specific Weight of Fluid in Pump: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Actual Discharge at Centrifugal Pump Outlet: 0.056 Cubic Meter per Second --> 0.056 Cubic Meter per Second No Conversion Required
Leakage of Liquid from Impeller: 0.0029 Cubic Meter per Second --> 0.0029 Cubic Meter per Second No Conversion Required
Velocity of Whirl at Outlet: 16 Meter per Second --> 16 Meter per Second No Conversion Required
Tangential Velocity of Impeller at Outlet: 19 Meter per Second --> 19 Meter per Second No Conversion Required
Input Power to Centrifugal Pump: 31.5 Kilowatt --> 31500 Watt (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_cp = (w*(Q+q)*(V_w2*u₂/[g]))/P_in --> (9810*(0.056+0.0029)*(16*19/[g]))/31500

Evaluating ... ...

η_cp = 0.568625925119325

STEP 3: Convert Result to Output's Unit

0.568625925119325 --> No Conversion Required

FINAL ANSWER

0.568625925119325 ≈ 0.568626 <-- Mechanical Efficiency of Centrifugal Pump

(Calculation completed in 00.004 seconds)

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< Geometric and Flow Parameters Calculators

Volume of liquid at inlet

LaTeX Go Actual Discharge at Centrifugal Pump Outlet = pi*Diameter of Centrifugal Pump Impeller at Inlet*Width of Impeller at Inlet*Flow Velocity at Inlet of Centrifugal Pump

Speed ratio

LaTeX Go Speed Ratio Centrifugal Pump = Tangential Velocity of Impeller at Outlet/sqrt(2*[g]*Manometric Head of Centrifugal Pump)

Weight of liquid

LaTeX Go Weight of Liquid in Pump = Specific Weight of Liquid*Actual Discharge at Centrifugal Pump Outlet

Static head

LaTeX Go Static Head of Centrifugal Pump = Suction Head of Centrifugal Pump+Delivery Head of Pump

Mechanical efficiency given Specific Weight of Liquid Formula

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What is mechanical efficiency?

The ratio of the power delivered by the impeller to the liquid to the power input to the pump shaft is known as mechanical efficiency.

How to Calculate Mechanical efficiency given Specific Weight of Liquid?

Mechanical efficiency given Specific Weight of Liquid calculator 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 calculate 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 η_cp symbol.

How to calculate Mechanical efficiency given Specific Weight of Liquid using this online calculator? To use this online calculator 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 (V_w2), Tangential Velocity of Impeller at Outlet (u₂) & Input Power to Centrifugal Pump (P_in) and hit the calculate button. Here is how the Mechanical efficiency given Specific Weight of Liquid calculation can be explained with given input values -> 0.568626 = (9810*(0.056+0.0029)*(16*19/[g]))/31500.

FAQ

What is Mechanical efficiency given Specific Weight of Liquid?

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 and is represented as η_cp = (w*(Q+q)*(V_w2*u₂/[g]))/P_in or 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. Specific weight of fluid in pump is the weight of fluid per unit volume, Actual discharge at centrifugal pump outlet is the actual amount of the liquid outflow from the outlet of the centrifugal pump, Leakage of Liquid from Impeller is the amount of the fluid or liquid leaking from the impeller per second, The Velocity of Whirl at Outlet is the tangential component of absolute velocity at the blade outlet, The Tangential Velocity of Impeller at Outlet is the velocity of the impeller at the fluid outlet & Input power to centrifugal pump is the power at the input or the inlet of a centrifugal pump.

How to calculate Mechanical efficiency given Specific Weight of Liquid?

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 is calculated using 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 calculate Mechanical efficiency given Specific Weight of Liquid, you need 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 (V_w2), Tangential Velocity of Impeller at Outlet (u₂) & Input Power to Centrifugal Pump (P_in). With our tool, you need to enter the respective value for 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 & Input Power to Centrifugal Pump and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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