Mean Velocity in flow Calculator

✖Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length.ⓘ Piezometric Gradient [dhbydx]			+10% -10%
✖Diameter of Section is the diameter of the circular cross-section of the beam.ⓘ Diameter of Section [d_section]			+10% -10%
✖Horizontal Distance is the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance [R]			+10% -10%
✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%

✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity in flow [V_mean]

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Formula

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Mean Velocity in flow

Formula

`"V"_{"mean"} = -("γ"_{"f"}*"dhbydx"*("d"_{"section"}*"R"-"R"^2))/"μ"_{"viscosity"}`

Example

`"-387581.558824m/s"=-("9.81kN/m³"*"10"*("5m"*"1.01m"-("1.01m")^2))/"10.2P"`

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Mean Velocity in flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Velocity = -(Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity
V_mean = -(γ_f*dhbydx*(d_section*R-R^2))/μ_viscosity
This formula uses 6 Variables

Variables Used

Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
Piezometric Gradient - Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length.
Diameter of Section - (Measured in Meter) - Diameter of Section is the diameter of the circular cross-section of the beam.
Horizontal Distance - (Measured in Meter) - Horizontal Distance is the instantaneous horizontal distance cover by an object in a projectile motion.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

STEP 1: Convert Input(s) to Base Unit

Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Piezometric Gradient: 10 --> No Conversion Required
Diameter of Section: 5 Meter --> 5 Meter No Conversion Required
Horizontal Distance: 1.01 Meter --> 1.01 Meter No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_mean = -(γ_f*dhbydx*(d_section*R-R^2))/μ_viscosity --> -(9810*10*(5*1.01-1.01^2))/1.02

Evaluating ... ...

V_mean = -387581.558823529

STEP 3: Convert Result to Output's Unit

-387581.558823529 Meter per Second --> No Conversion Required

FINAL ANSWER

-387581.558823529 ≈ -387581.558824 Meter per Second <-- Mean Velocity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Laminar Flow of Fluid in an Open Channel » Mean Velocity in flow

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< 18 Laminar Flow of Fluid in an Open Channel Calculators

Slope of Channel given Mean Velocity of Flow

Go Slope of Surface of Constant Pressure = (Dynamic Viscosity*Mean Velocity)/((Diameter of Section*Horizontal Distance-(Horizontal Distance^2)/2)*Specific Weight of Liquid)

Diameter of Section given Mean Velocity of Flow

Go Diameter of Section = ((Horizontal Distance^2+(-Dynamic Viscosity*Mean Velocity*Slope of Surface of Constant Pressure/Specific Weight of Liquid)))/Horizontal Distance

Mean Velocity in flow

Go Mean Velocity = -(Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity

Dynamic Viscosity given Mean Velocity of Flow in Section

Go Dynamic Viscosity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Mean Velocity

Diameter of Section given Potential Head Drop

Go Diameter of Section = sqrt((3*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction))

Length of Pipe given Potential Head Drop

Go Length of Pipe = (Head Loss due to Friction*Specific Weight of Liquid*(Diameter of Section^2))/(3*Dynamic Viscosity*Mean Velocity)

Potential Head Drop

Go Head Loss due to Friction = (3*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Section^2)

Diameter of Section given Discharge per Unit Channel Width

Go Diameter of Section = ((3*Dynamic Viscosity*Discharge per Unit Width)/(Slope of bed*Specific Weight of Liquid))^(1/3)

Dynamic Viscosity given Discharge per Unit Channel Width

Go Dynamic Viscosity = (Specific Weight of Liquid*Slope of bed*Diameter of Section^3)/(3*Discharge per Unit Width)

Slope of Channel given Discharge per Unit Channel Width

Go Slope of bed = (3*Dynamic Viscosity*Discharge per Unit Width)/(Specific Weight of Liquid*Diameter of Section^3)

Discharge per unit channel width

Go Discharge per Unit Width = (Specific Weight of Liquid*Slope of bed*Diameter of Section^3)/(3*Dynamic Viscosity)

Slope of Channel given Shear Stress

Go Bed Slope = Shear Stress/(Specific Weight of Liquid*(Overall diameter of section-Horizontal Distance))

Diameter of Section given Slope of Channel

Go Diameter of Section = (Shear Stress/(Bed Slope*Specific Weight of Liquid))+Horizontal Distance

Horizontal Distance given Slope of Channel

Go Horizontal Distance = Diameter of Section-(Shear Stress/(Bed Slope*Specific Weight of Liquid))

Shear Stress given Slope of Channel

Go Shear Stress = Specific Weight of Liquid*Bed Slope*(Depth-Horizontal Distance)

Diameter of Section given Bed Shear Stress

Go Diameter of Section = Shear Stress/(Bed Slope*Specific Weight of Liquid)

Bed Slope given Bed Shear Stress

Go Bed Slope = Shear Stress/(Diameter of Section*Specific Weight of Liquid)

Bed Shear Stress

Go Shear Stress = Specific Weight of Liquid*Bed Slope*Diameter of Section

Mean Velocity in flow Formula

What is Mean Velocity?

The time average of the velocity of a fluid at a fixed point, over a somewhat arbitrary time interval T counted from some fixed time t.

How to Calculate Mean Velocity in flow?

Mean Velocity in flow calculator uses Mean Velocity = -(Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity to calculate the Mean Velocity, The Mean Velocity in flow formula is defined as the average velocity in the channel with a bed slope inclined at a particular angle from horizontal. Mean Velocity is denoted by V_mean symbol.

How to calculate Mean Velocity in flow using this online calculator? To use this online calculator for Mean Velocity in flow, enter Specific Weight of Liquid (γ_f), Piezometric Gradient (dhbydx), Diameter of Section (d_section), Horizontal Distance (R) & Dynamic Viscosity (μ_viscosity) and hit the calculate button. Here is how the Mean Velocity in flow calculation can be explained with given input values -> -387581.558824 = -(9810*10*(5*1.01-1.01^2))/1.02.

FAQ

What is Mean Velocity in flow?

The Mean Velocity in flow formula is defined as the average velocity in the channel with a bed slope inclined at a particular angle from horizontal and is represented as V_mean = -(γ_f*dhbydx*(d_section*R-R^2))/μ_viscosity or Mean Velocity = -(Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity. Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid, Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length, Diameter of Section is the diameter of the circular cross-section of the beam, Horizontal Distance is the instantaneous horizontal distance cover by an object in a projectile motion & The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

How to calculate Mean Velocity in flow?

The Mean Velocity in flow formula is defined as the average velocity in the channel with a bed slope inclined at a particular angle from horizontal is calculated using Mean Velocity = -(Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity. To calculate Mean Velocity in flow, you need Specific Weight of Liquid (γ_f), Piezometric Gradient (dhbydx), Diameter of Section (d_section), Horizontal Distance (R) & Dynamic Viscosity (μ_viscosity). With our tool, you need to enter the respective value for Specific Weight of Liquid, Piezometric Gradient, Diameter of Section, Horizontal Distance & Dynamic Viscosity 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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