Diameter of Section given Mean Velocity of Flow Calculator

✖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 [V_mean]			+10% -10%
✖The Slope of Surface of Constant Pressure refers to the slope at which free surface is inclined with horizontal.ⓘ Slope of Surface of Constant Pressure [S]			+10% -10%
✖The Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+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 given Mean Velocity of Flow [d_section]

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Diameter of Section given Mean Velocity of Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Section = ((Horizontal Distance^2+(Dynamic Viscosity*Mean Velocity*Slope of Surface of Constant Pressure/Specific Weight of Liquid)))/Horizontal Distance
d_section = ((R^2+(μ*V_mean*S/γ_f)))/R
This formula uses 6 Variables

Variables Used

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.
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.
Slope of Surface of Constant Pressure - The Slope of Surface of Constant Pressure refers to the slope at which free surface is inclined with horizontal.
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.

STEP 1: Convert Input(s) to Base Unit

Horizontal Distance: 1.01 Meter --> 1.01 Meter No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Mean Velocity: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Slope of Surface of Constant Pressure: 10 --> No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_section = ((R^2+(μ*V_mean*S/γ_f)))/R --> ((1.01^2+(1.02*10*10/9.81)))/1.01

Evaluating ... ...

d_section = 11.3046074423956

STEP 3: Convert Result to Output's Unit

11.3046074423956 Meter --> No Conversion Required

FINAL ANSWER

11.3046074423956 ≈ 11.30461 Meter <-- Diameter of Section

(Calculation completed in 00.020 seconds)

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< Laminar Flow of Fluid in an Open Channel Calculators

Slope of Channel given Mean Velocity of Flow

LaTeX 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

LaTeX 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

LaTeX 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

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

Diameter of Section given Mean Velocity of Flow Formula

LaTeX Go

What is Channel?

A channel is a passageway, a means of access for a thing, a communication, or an idea. Think of a channel as sort of a tunnel or a funnel that moves something directly through. The noun channel can be used for many such avenues.

How to Calculate Diameter of Section given Mean Velocity of Flow?

Diameter of Section given Mean Velocity of Flow calculator uses Diameter of Section = ((Horizontal Distance^2+(Dynamic Viscosity*Mean Velocity*Slope of Surface of Constant Pressure/Specific Weight of Liquid)))/Horizontal Distance to calculate the Diameter of Section, The Diameter of Section given Mean Velocity of Flow is defined as the sectional area of the channel or depth of flow in the channel. Diameter of Section is denoted by d_section symbol.

How to calculate Diameter of Section given Mean Velocity of Flow using this online calculator? To use this online calculator for Diameter of Section given Mean Velocity of Flow, enter Horizontal Distance (R), Dynamic Viscosity (μ), Mean Velocity (V_mean), Slope of Surface of Constant Pressure (S) & Specific Weight of Liquid (γ_f) and hit the calculate button. Here is how the Diameter of Section given Mean Velocity of Flow calculation can be explained with given input values -> 1.020295 = ((1.01^2+(1.02*10*10/9810)))/1.01.

FAQ

What is Diameter of Section given Mean Velocity of Flow?

The Diameter of Section given Mean Velocity of Flow is defined as the sectional area of the channel or depth of flow in the channel and is represented as d_section = ((R^2+(μ*V_mean*S/γ_f)))/R or Diameter of Section = ((Horizontal Distance^2+(Dynamic Viscosity*Mean Velocity*Slope of Surface of Constant Pressure/Specific Weight of Liquid)))/Horizontal Distance. 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, The Mean Velocity refers to the average rate at which an object or fluid moves over a given time interval, The Slope of Surface of Constant Pressure refers to the slope at which free surface is inclined with horizontal & The Specific Weight of Liquid refers to the weight per unit volume of that substance.

How to calculate Diameter of Section given Mean Velocity of Flow?

The Diameter of Section given Mean Velocity of Flow is defined as the sectional area of the channel or depth of flow in the channel is calculated using Diameter of Section = ((Horizontal Distance^2+(Dynamic Viscosity*Mean Velocity*Slope of Surface of Constant Pressure/Specific Weight of Liquid)))/Horizontal Distance. To calculate Diameter of Section given Mean Velocity of Flow, you need Horizontal Distance (R), Dynamic Viscosity (μ), Mean Velocity (V_mean), Slope of Surface of Constant Pressure (S) & Specific Weight of Liquid (γ_f). With our tool, you need to enter the respective value for Horizontal Distance, Dynamic Viscosity, Mean Velocity, Slope of Surface of Constant Pressure & Specific Weight of Liquid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diameter of Section?

In this formula, Diameter of Section uses Horizontal Distance, Dynamic Viscosity, Mean Velocity, Slope of Surface of Constant Pressure & Specific Weight of Liquid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diameter of Section = ((3*Dynamic Viscosity*Kinematic Viscosity)/(Slope of Bed*Specific Weight of Liquid))^(1/3)
Diameter of Section = sqrt((3*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction))
Diameter of Section = (Shear Stress/(Slope of Bed*Specific Weight of Liquid))+Horizontal Distance

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