Mean Velocity of Flow in Section Calculator

✖The Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖The Piezometric Gradient refers to the variation of piezometric head with respect to distance in along the pipe length.ⓘ Piezometric Gradient [dh\|dx]			+10% -10%
✖The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.ⓘ Diameter of Section [d_section]			+10% -10%
✖The Horizontal Distance refers to the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance [R]			+10% -10%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%

✖The Mean Velocity refers to the average rate at which an object or fluid moves over a given time interval.ⓘ Mean Velocity of Flow in Section [V_mean]

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Formula

✖

Mean Velocity of Flow in Section

Formula

V mean = \frac{γ f \cdot dh|dx \cdot (d section \cdot R - R^{2})}{μ}

Example

10.01123 m/s = \frac{9.81 kN/m³ \cdot 0.2583 \cdot (5 m \cdot 1.01 m - {1.01 m}^{2})}{10.2 P}

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Download Laminar Flow of Fluid in an Open Channel Formulas PDF PDF Image

Mean Velocity of Flow in Section 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*dh|dx*(d_section*R-R^2))/μ
This formula uses 6 Variables

Variables Used

Mean Velocity - (Measured in Meter per Second) - The Mean Velocity refers to the average rate at which an object or fluid moves over a given time interval.
Specific Weight of Liquid - (Measured in Kilonewton per Cubic Meter) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.
Piezometric Gradient - The Piezometric Gradient refers to the variation of piezometric head with respect to distance in along the pipe length.
Diameter of Section - (Measured in Meter) - The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.
Horizontal Distance - (Measured in Meter) - The Horizontal Distance refers to the instantaneous horizontal distance cover by an object in a projectile motion.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

STEP 1: Convert Input(s) to Base Unit

Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
Piezometric Gradient: 0.2583 --> 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*dh|dx*(d_section*R-R^2))/μ --> (9.81*0.2583*(5*1.01-1.01^2))/1.02

Evaluating ... ...

V_mean = 10.0112316644118

STEP 3: Convert Result to Output's Unit

10.0112316644118 Meter per Second --> No Conversion Required

FINAL ANSWER

10.0112316644118 ≈ 10.01123 Meter per Second <-- Mean Velocity

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< 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

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

Mean Velocity of Flow in Section

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

Mean Velocity of Flow in Section Formula

Mean Velocity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity
V_mean = (γ_f*dh|dx*(d_section*R-R^2))/μ

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 of Flow in Section?

Mean Velocity of Flow in Section 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 of Flow in Section 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 of Flow in Section using this online calculator? To use this online calculator for Mean Velocity of Flow in Section, enter Specific Weight of Liquid (γ_f), Piezometric Gradient (dh|dx), Diameter of Section (d_section), Horizontal Distance (R) & Dynamic Viscosity (μ) and hit the calculate button. Here is how the Mean Velocity of Flow in Section calculation can be explained with given input values -> 10011.23 = (9810*0.2583*(5*1.01-1.01^2))/1.02.

FAQ

What is Mean Velocity of Flow in Section?

The Mean Velocity of Flow in Section 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*dh|dx*(d_section*R-R^2))/μ or Mean Velocity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity. The Specific Weight of Liquid refers to the weight per unit volume of that substance, The Piezometric Gradient refers to the variation of piezometric head with respect to distance in along the pipe length, The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle, The Horizontal Distance refers to the instantaneous horizontal distance cover by an object in a projectile motion & The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

How to calculate Mean Velocity of Flow in Section?

The Mean Velocity of Flow in Section 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 of Flow in Section, you need Specific Weight of Liquid (γ_f), Piezometric Gradient (dh|dx), Diameter of Section (d_section), Horizontal Distance (R) & Dynamic Viscosity (μ). 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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