Coefficient of discharge of pump Calculator

✖Actual discharge is given by the actual area and velocity.ⓘ Actual Discharge [Q_act]			+10% -10%
✖The Theoretical Discharge is given by the theoretical area and velocity.ⓘ Theoretical Discharge [Q_th]			+10% -10%

✖Coefficient of Discharge is ratio of Actual discharge to theoretical discharge.ⓘ Coefficient of discharge of pump [C_d]

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Formula

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Coefficient of discharge of pump

Formula

`"C"_{"d"} = "Q"_{"act"}/"Q"_{"th"}`

Example

`"10.71"="0.4284m³/s"/"0.04m³/s"`

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Coefficient of discharge of pump Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Discharge = Actual Discharge/Theoretical Discharge
C_d = Q_act/Q_th
This formula uses 3 Variables

Variables Used

Coefficient of Discharge - Coefficient of Discharge is ratio of Actual discharge to theoretical discharge.
Actual Discharge - (Measured in Cubic Meter per Second) - Actual discharge is given by the actual area and velocity.
Theoretical Discharge - (Measured in Cubic Meter per Second) - The Theoretical Discharge is given by the theoretical area and velocity.

STEP 1: Convert Input(s) to Base Unit

Actual Discharge: 0.4284 Cubic Meter per Second --> 0.4284 Cubic Meter per Second No Conversion Required
Theoretical Discharge: 0.04 Cubic Meter per Second --> 0.04 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_d = Q_act/Q_th --> 0.4284/0.04

Evaluating ... ...

C_d = 10.71

STEP 3: Convert Result to Output's Unit

10.71 --> No Conversion Required

FINAL ANSWER

10.71 <-- Coefficient of Discharge

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Reciprocating Pumps » Flow Parameters » Coefficient of discharge of pump

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< 12 Flow Parameters Calculators

Loss of head due to friction given area of Pipe

Go Head loss due to friction = ((4*Coefficient of Friction*Length of Pipe 1)/(Diameter of delivery pipe*2*[g]))*((Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*sin(Angle turned by crank))

Pressure head due to acceleration

Go Pressure Head due to Acceleration = (Length of Pipe 1*Area of cylinder*(Angular Velocity^2)*Radius of crank*cos(Angle turned by crank))/([g]*Area of pipe)

Acceleration of liquid in pipe

Go Acceleration of Liquid = (Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*cos(Angular Velocity*Time in seconds)

Velocity of Liquid in Pipe

Go Velocity of Liquid = (Area of cylinder/Area of pipe)*Angular Velocity*Radius of crank*sin(Angular Velocity*Time in seconds)

Rate of flow of liquid into air vessel

Go Rate of Flow = (Area of cylinder*Angular Velocity*Crank radius)*(sin(Angle between crank and flow rate)-(2/pi))

Mean Velocity of Air Vessel given Length of Stroke

Go Mean Velocity = (Area of cylinder*Angular Velocity*Length of Stroke)/(2*pi*Area of Suction Pipe)

Mean velocity of air vessels

Go Mean Velocity = (Area of cylinder*Angular Velocity*Pipe Diameter/2)/(pi*Area of Suction Pipe)

Weight of Water delivered per second given Density and Discharge

Go Weight of Water = Water Density*Acceleration Due to Gravity*Discharge

Mass of water in pipe

Go Mass of Water = Water Density*Area of pipe*Length of Pipe

Coefficient of discharge of pump

Go Coefficient of Discharge = Actual Discharge/Theoretical Discharge

Weight of water delivered per second

Go Weight of liquid = Specific Weight*Discharge

Volume of liquid delivered given weight of liquid

Go Volume = Weight of liquid/Specific Weight

Coefficient of discharge of pump Formula

Coefficient of Discharge = Actual Discharge/Theoretical Discharge
C_d = Q_act/Q_th

What is volumetric efficiency?

When the value of Cd is expressed in percentage, it is known as ‘volumetric efficiency’ of the pump. Volumetric efficiency depends upon the dimensions of the pump and its value ranges from 85-98%.

How to Calculate Coefficient of discharge of pump?

Coefficient of discharge of pump calculator uses Coefficient of Discharge = Actual Discharge/Theoretical Discharge to calculate the Coefficient of Discharge, The Coefficient of discharge of pump formula is defined as the ratio of the actual discharge to the ideal discharge, i.e., the ratio of the mass flow rate at the discharge end of the nozzle to that of an ideal nozzle which expands an identical working. Coefficient of Discharge is denoted by C_d symbol.

How to calculate Coefficient of discharge of pump using this online calculator? To use this online calculator for Coefficient of discharge of pump, enter Actual Discharge (Q_act) & Theoretical Discharge (Q_th) and hit the calculate button. Here is how the Coefficient of discharge of pump calculation can be explained with given input values -> 10.71 = 0.4284/0.04.

FAQ

What is Coefficient of discharge of pump?

The Coefficient of discharge of pump formula is defined as the ratio of the actual discharge to the ideal discharge, i.e., the ratio of the mass flow rate at the discharge end of the nozzle to that of an ideal nozzle which expands an identical working and is represented as C_d = Q_act/Q_th or Coefficient of Discharge = Actual Discharge/Theoretical Discharge. Actual discharge is given by the actual area and velocity & The Theoretical Discharge is given by the theoretical area and velocity.

How to calculate Coefficient of discharge of pump?

The Coefficient of discharge of pump formula is defined as the ratio of the actual discharge to the ideal discharge, i.e., the ratio of the mass flow rate at the discharge end of the nozzle to that of an ideal nozzle which expands an identical working is calculated using Coefficient of Discharge = Actual Discharge/Theoretical Discharge. To calculate Coefficient of discharge of pump, you need Actual Discharge (Q_act) & Theoretical Discharge (Q_th). With our tool, you need to enter the respective value for Actual Discharge & Theoretical Discharge 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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