Diameter of Section given Potential Head Drop Calculator

✖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 Length of Pipe refers to the measurement of the pipe from one end to the other.ⓘ Length of Pipe [L]			+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 Head Loss due to Friction refers to the reduction in pressure (or head) that occurs as fluid flows through a pipe or hydraulic system.ⓘ Head Loss due to Friction [h_L]			+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 Potential Head Drop [d_section]

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Formula

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Diameter of Section given Potential Head Drop

Formula

d section = \sqrt{\frac{3 \cdot μ \cdot V mean \cdot L}{γ f \cdot h L}}

Example

4.962437 m = \sqrt{\frac{3 \cdot 10.2 P \cdot 10 m/s \cdot 15 m}{9.81 kN/m³ \cdot 1.9 m}}

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Diameter of Section given Potential Head Drop Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Section = sqrt((3*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction))
d_section = sqrt((3*μ*V_mean*L)/(γ_f*h_L))
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
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.
Length of Pipe - (Measured in Meter) - The Length of Pipe refers to the measurement of the pipe from one end to the other.
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.
Head Loss due to Friction - (Measured in Meter) - The Head Loss due to Friction refers to the reduction in pressure (or head) that occurs as fluid flows through a pipe or hydraulic system.

STEP 1: Convert Input(s) to Base Unit

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
Length of Pipe: 15 Meter --> 15 Meter No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
Head Loss due to Friction: 1.9 Meter --> 1.9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_section = sqrt((3*μ*V_mean*L)/(γ_f*h_L)) --> sqrt((3*1.02*10*15)/(9.81*1.9))

Evaluating ... ...

d_section = 4.96243736938805

STEP 3: Convert Result to Output's Unit

4.96243736938805 Meter --> No Conversion Required

FINAL ANSWER

4.96243736938805 ≈ 4.962437 Meter <-- Diameter of Section

(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 » Diameter of Section given Potential Head Drop

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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National Institute of Technology (NIT), Warangal

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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

Diameter of Section given Potential Head Drop Formula

Diameter of Section = sqrt((3*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction))
d_section = sqrt((3*μ*V_mean*L)/(γ_f*h_L))

What is Dynamic Viscosity?

The dynamic viscosity η (η = "eta") is a measure of the viscosity of a fluid (fluid: liquid, flowing substance). The higher the viscosity, the thicker (less liquid) the fluid; the lower the viscosity, the thinner (more liquid) it is. SI unit of dynamic viscosity: [η] = Pascal-second (Pa*s) = N*s/m² = kg/m*s.

How to Calculate Diameter of Section given Potential Head Drop?

Diameter of Section given Potential Head Drop calculator uses Diameter of Section = sqrt((3*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction)) to calculate the Diameter of Section, The Diameter of Section given Potential Head Drop is defined as the sectional depth of flow depth at a particular point. Diameter of Section is denoted by d_section symbol.

How to calculate Diameter of Section given Potential Head Drop using this online calculator? To use this online calculator for Diameter of Section given Potential Head Drop, enter Dynamic Viscosity (μ), Mean Velocity (V_mean), Length of Pipe (L), Specific Weight of Liquid (γ_f) & Head Loss due to Friction (h_L) and hit the calculate button. Here is how the Diameter of Section given Potential Head Drop calculation can be explained with given input values -> 4.962437 = sqrt((3*1.02*10*15)/(9810*1.9)).

FAQ

What is Diameter of Section given Potential Head Drop?

The Diameter of Section given Potential Head Drop is defined as the sectional depth of flow depth at a particular point and is represented as d_section = sqrt((3*μ*V_mean*L)/(γ_f*h_L)) or Diameter of Section = sqrt((3*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction)). 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 Length of Pipe refers to the measurement of the pipe from one end to the other, The Specific Weight of Liquid refers to the weight per unit volume of that substance & The Head Loss due to Friction refers to the reduction in pressure (or head) that occurs as fluid flows through a pipe or hydraulic system.

How to calculate Diameter of Section given Potential Head Drop?

The Diameter of Section given Potential Head Drop is defined as the sectional depth of flow depth at a particular point is calculated using Diameter of Section = sqrt((3*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction)). To calculate Diameter of Section given Potential Head Drop, you need Dynamic Viscosity (μ), Mean Velocity (V_mean), Length of Pipe (L), Specific Weight of Liquid (γ_f) & Head Loss due to Friction (h_L). With our tool, you need to enter the respective value for Dynamic Viscosity, Mean Velocity, Length of Pipe, Specific Weight of Liquid & Head Loss due to Friction 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 Dynamic Viscosity, Mean Velocity, Length of Pipe, Specific Weight of Liquid & Head Loss due to Friction. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diameter of Section = ((Horizontal Distance^2+(Dynamic Viscosity*Mean Velocity*Slope of Surface of Constant Pressure/Specific Weight of Liquid)))/Horizontal Distance
Diameter of Section = ((3*Dynamic Viscosity*Kinematic Viscosity)/(Slope of Bed*Specific Weight of Liquid))^(1/3)
Diameter of Section = (Shear Stress/(Slope of Bed*Specific Weight of Liquid))+Horizontal Distance

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