Rate of flow or discharge Calculator

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✖Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area [A_cs]			+10% -10%
✖Average Velocity is defined as the mean of all different velocities.ⓘ Average Velocity [v_avg]			+10% -10%

✖Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.ⓘ Rate of flow or discharge [Q]

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Formula

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Rate of flow or discharge

Formula

`"Q" = "A"_{"cs"}*"v"_{"avg"}`

Example

`"9.9E^8cm³/s"="130000cm²"*"76.5m/s"`

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Rate of flow or discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate of Flow = Cross-Sectional Area*Average Velocity
Q = A_cs*v_avg
This formula uses 3 Variables

Variables Used

Rate of Flow - (Measured in Cubic Meter per Second) - Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.
Cross-Sectional Area - (Measured in Square Meter) - Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Average Velocity - (Measured in Meter per Second) - Average Velocity is defined as the mean of all different velocities.

STEP 1: Convert Input(s) to Base Unit

Cross-Sectional Area: 130000 Square Centimeter --> 13 Square Meter (Check conversion here)
Average Velocity: 76.5 Meter per Second --> 76.5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = A_cs*v_avg --> 13*76.5

Evaluating ... ...

Q = 994.5

STEP 3: Convert Result to Output's Unit

994.5 Cubic Meter per Second -->994500000 Cubic Centimeter per Second (Check conversion here)

FINAL ANSWER

994500000 ≈ 9.9E+8 Cubic Centimeter per Second <-- Rate of Flow

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Forces and Dynamics » Dynamics of Fluid Flow » Kinematics of Flow » Rate of flow or discharge

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Verified by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

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< 17 Kinematics of Flow Calculators

Actual Discharge in Venturimeter

Go Actual Discharge through Venturimeter = Coefficient of Discharge of Venturimeter*((Cross Section Area of Venturimeter Inlet*Cross Section Area of Venturimeter Throat)/(sqrt((Cross Section Area of Venturimeter Inlet^2)-(Cross Section Area of Venturimeter Throat^2)))*sqrt(2*[g]*Net Head of Liquid in Venturimeter))

Relative velocity of fluid with respect to body given drag force

Go Relative Velocity of Fluid Past Body = sqrt((Drag Force by Fluid on Body*2)/(Projected Area of Body*Density of Moving Fluid*Drag Coefficient for Fluid Flow))

Drag coefficient given Drag force

Go Drag Coefficient for Fluid Flow = (Drag Force by Fluid on Body*2)/(Projected Area of Body*Density of Moving Fluid*Relative Velocity of Fluid Past Body^2)

Difference in pressure head for light liquid in manometer

Go Difference in Pressure Head in Manometer = Difference in Liquid Level in Manometer*(1-(Specific Gravity of Lighter Liquid/Specific Gravity of Flowing Liquid))

Difference in Pressure Head for heavier Liquid in Manometer

Go Difference in Pressure Head in Manometer = Difference in Liquid Level in Manometer*(Specific Gravity of Heavier Liquid/Specific Gravity of Flowing Liquid-1)

Total Pressure Force at Bottom of Cylinder

Go Pressure Force on Bottom = Density*9.81*pi*(Radius^2)*Cylinder Height+Pressure Force on Top

Resultant bend force along x and y direction

Go Resultant Force on Pipe Bend = sqrt((Force along X-Direction on Pipe Bend^2)+(Force along Y-Direction on Pipe Bend^2))

Height or depth of paraboloid for volume of air

Go Height of Crack = ((Diameter^2)/(2*(Radius^2)))*(Length-Initial Height of Liquid)

Total pressure force on top of cylinder

Go Pressure Force on Top = (Liquid Density/4)*(Angular Velocity^2)*pi*(Radius^4)

Coefficient of pitot-tube for velocity at any point

Go Coefficient of Pitot Tube = Velocity at Any Point for Pitot Tube/(sqrt(2*9.81*Rise of Liquid in Pitot Tube))

Velocity at any point for coefficient of pitot-tube

Go Velocity at Any Point for Pitot Tube = Coefficient of Pitot Tube*sqrt(2*9.81*Rise of Liquid in Pitot Tube)

Resultant velocity for two velocity components

Go Resultant Velocity = sqrt((Velocity Component at U^2)+(Velocity Component at V^2))

Angular Velocity of Vortex using Depth of Parabola

Go Angular Velocity = sqrt((Depth of Parabola*2*9.81)/(Radius^2))

Depth of Parabola formed at Free Surface of Water

Go Depth of Parabola = ((Angular Velocity^2)*(Radius^2))/(2*9.81)

Velocity of Fluid Particle

Go Velocity of Fluid Particle = Displacement/Total Time Taken

Rate of flow or discharge

Go Rate of Flow = Cross-Sectional Area*Average Velocity

Air Resistance Force

Go Air Resistance = Air Constant*Velocity^2

Rate of flow or discharge Formula

Rate of Flow = Cross-Sectional Area*Average Velocity
Q = A_cs*v_avg

How discharge is expressed for compressible and incompressible fluids?

For incompressible fluids, it is expressed as the volume of fluid flowing across the section per second. For the compressible fluids, it is expressed as the weight of fluid flowing across the section.

What is coefficient of discharge?

In a nozzle or other constriction, the discharge coefficient (also known as the coefficient of discharge or efflux coefficient) is the ratio of the actual discharge to the theoretical discharge.

How to Calculate Rate of flow or discharge?

Rate of flow or discharge calculator uses Rate of Flow = Cross-Sectional Area*Average Velocity to calculate the Rate of Flow, The Rate of flow or discharge formula is defined as the quantity of fluid flowing per second through a section of pipe or a channel. Rate of Flow is denoted by Q symbol.

How to calculate Rate of flow or discharge using this online calculator? To use this online calculator for Rate of flow or discharge, enter Cross-Sectional Area (A_cs) & Average Velocity (v_avg) and hit the calculate button. Here is how the Rate of flow or discharge calculation can be explained with given input values -> 994.5 = 13*76.5.

FAQ

What is Rate of flow or discharge?

The Rate of flow or discharge formula is defined as the quantity of fluid flowing per second through a section of pipe or a channel and is represented as Q = A_cs*v_avg or Rate of Flow = Cross-Sectional Area*Average Velocity. Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point & Average Velocity is defined as the mean of all different velocities.

How to calculate Rate of flow or discharge?

The Rate of flow or discharge formula is defined as the quantity of fluid flowing per second through a section of pipe or a channel is calculated using Rate of Flow = Cross-Sectional Area*Average Velocity. To calculate Rate of flow or discharge, you need Cross-Sectional Area (A_cs) & Average Velocity (v_avg). With our tool, you need to enter the respective value for Cross-Sectional Area & Average Velocity 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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