Diameter of Section given Potential Head Drop Calculator

✖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 [V_mean]			+10% -10%
✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%
✖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%
✖The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.ⓘ Head Loss due to Friction [h_location]			+10% -10%

✖Diameter of Section is the diameter of the circular cross-section of the beam.ⓘ 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((3*"μ"_{"viscosity"}*"V"_{"mean"}*"L"_{"p"})/("γ"_{"f"}*"h"_{"location"}))`

Example

`"0.012813m"=sqrt((3*"10.2P"*"10m/s"*"0.10m")/("9.81kN/m³"*"1.9m"))`

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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_viscosity*V_mean*L_p)/(γ_f*h_location))
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) - Diameter of Section is the diameter of the circular cross-section of the beam.
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.
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.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
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.
Head Loss due to Friction - (Measured in Meter) - The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.

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: 0.1 Meter --> 0.1 Meter No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
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_viscosity*V_mean*L_p)/(γ_f*h_location)) --> sqrt((3*1.02*10*0.1)/(9810*1.9))

Evaluating ... ...

d_section = 0.0128129581921582

STEP 3: Convert Result to Output's Unit

0.0128129581921582 Meter --> No Conversion Required

FINAL ANSWER

0.0128129581921582 ≈ 0.012813 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

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

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

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_viscosity*V_mean*L_p)/(γ_f*h_location))

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_viscosity), Mean Velocity (V_mean), Length of Pipe (L_p), Specific Weight of Liquid (γ_f) & Head Loss due to Friction (h_location) and hit the calculate button. Here is how the Diameter of Section given Potential Head Drop calculation can be explained with given input values -> 0.010371 = sqrt((3*1.02*10*0.1)/(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_viscosity*V_mean*L_p)/(γ_f*h_location)) 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 of a fluid is the measure of its resistance to flow when an external force is applied, Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T, Length of Pipe describes the length of the pipe in which the liquid is flowing, Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid & The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.

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_viscosity), Mean Velocity (V_mean), Length of Pipe (L_p), Specific Weight of Liquid (γ_f) & Head Loss due to Friction (h_location). 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 4 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*Discharge per Unit Width)/(Slope of bed*Specific Weight of Liquid))^(1/3)
Diameter of Section = (Shear Stress/(Bed Slope*Specific Weight of Liquid))+Horizontal Distance
Diameter of Section = Shear Stress/(Bed Slope*Specific Weight of Liquid)

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