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
ηcp = (w*(Q+q)*(Vw2*u2/[g]))/Pin
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
ηcp = (w*(Q+q)*(Vw2*u2/[g]))/Pin --> (9810*(0.056+0.0029)*(16*19/[g]))/31500
Evaluating ... ...
ηcp = 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)

Credits

Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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Institute of Aeronautical Engineering (IARE), Hyderabad
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19 Geometric and Flow Parameters Calculators

Mechanical efficiency given Specific Weight of Liquid
Go 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
Overall efficiency
Go Overall efficiency of centrifugal pump = (Specific weight of fluid in pump*Actual discharge at centrifugal pump outlet*Manometric Head of Centrifugal Pump)/Input power to centrifugal pump
Flow velocity at outlet given volume of liquid
Go Flow velocity at outlet of centrifugal pump = Actual discharge at centrifugal pump outlet/(pi*Diameter of centrifugal pump impeller at outlet*Width of Impeller at Outlet)
Volume of liquid at outlet
Go Actual discharge at centrifugal pump outlet = pi*Diameter of centrifugal pump impeller at outlet*Width of Impeller at Outlet*Flow velocity at outlet of centrifugal pump
Flow velocity at inlet given volume of liquid
Go Flow velocity at inlet of centrifugal pump = Actual discharge at centrifugal pump outlet/(pi*Diameter of centrifugal pump impeller at inlet*Width of Impeller at Inlet)
Volume of liquid at inlet
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
Thoma's cavitation factor
Go Thoma's Cavitation Factor = (Atmospheric Pressure Head for Pump-Suction head of centrifugal pump-Vapour Pressure Head)/Manometric Head of Centrifugal Pump
Leakage of Liquid given Volumetric Efficiency and Discharge
Go Leakage of Liquid from Impeller = (Actual discharge at centrifugal pump outlet/Volumetric efficiency of centrifugal pump)-Actual discharge at centrifugal pump outlet
Torque at outlet
Go Torque at Centrifugal Pump Outlet = (Weight of liquid in pump/[g])*Velocity of Whirl at Outlet*Radius of Impeller at Outlet
Flow velocity given flow ratio
Go Flow velocity at outlet of centrifugal pump = Flow ratio centrifugal pump*sqrt(2*[g]*Manometric Head of Centrifugal Pump)
Flow ratio
Go Flow ratio centrifugal pump = Flow velocity at outlet of centrifugal pump/sqrt(2*[g]*Manometric Head of Centrifugal Pump)
Diameter of delivery pipe
Go Diameter of delivery pipe of pump = sqrt((4*Actual discharge at centrifugal pump outlet)/(pi*Velocity in Delivery Pipe))
Speed ratio
Go Speed ratio centrifugal pump = Tangential Velocity of Impeller at Outlet/sqrt(2*[g]*Manometric Head of Centrifugal Pump)
Diameter of suction pipe
Go Diameter of suction pipe of pump = sqrt((4*Actual discharge at centrifugal pump outlet)/(pi*Velocity in Suction Pipe))
Net positive suction head
Go Net Positive Suction Head of Centrifugal Pump = Atmospheric Pressure Head for Pump-Static Head of Centrifugal Pump-Vapour Pressure Head
Thoma's Cavitation factor given Net Positive Suction Head
Go Thoma's Cavitation Factor = Net Positive Suction Head of Centrifugal Pump/Manometric Head of Centrifugal Pump
Weight of liquid
Go Weight of liquid in pump = Specific Weight of Liquid*Actual discharge at centrifugal pump outlet
Static head
Go Static Head of Centrifugal Pump = Suction head of centrifugal pump+Delivery head of pump
Vane efficiency
Go Vane Efficiency = Actual Head of Pump/Euler Head of Pump

Mechanical efficiency given Specific Weight of Liquid 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
ηcp = (w*(Q+q)*(Vw2*u2/[g]))/Pin

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 is defined as the ratio of the product of the specific weight of liquid, the sum of discharge and leakage, and whirl velocity and tangential velocity divided by acceleration due to gravity to the power input given to the pump. Mechanical efficiency of centrifugal pump is denoted by ηcp 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 (Vw2), Tangential Velocity of Impeller at Outlet (u2) & Input power to centrifugal pump (Pin) 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 is defined as the ratio of the product of the specific weight of liquid, the sum of discharge and leakage, and whirl velocity and tangential velocity divided by acceleration due to gravity to the power input given to the pump and is represented as ηcp = (w*(Q+q)*(Vw2*u2/[g]))/Pin 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 is defined as the ratio of the product of the specific weight of liquid, the sum of discharge and leakage, and whirl velocity and tangential velocity divided by acceleration due to gravity to the power input given to the pump 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 (Vw2), Tangential Velocity of Impeller at Outlet (u2) & Input power to centrifugal pump (Pin). 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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