Diameter of Section given Discharge per Unit Channel Width 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 Kinematic Viscosity refers to the fluid’s internal resistance to flow under the influence of gravity.ⓘ Kinematic Viscosity [ν]			+10% -10%
✖The Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields.ⓘ Slope of Bed [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 Discharge per Unit Channel Width [d_section]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

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

Diameter of Section given Discharge per Unit Channel Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Section = ((3*Dynamic Viscosity*Kinematic Viscosity)/(Slope of Bed*Specific Weight of Liquid))^(1/3)
d_section = ((3*μ*ν)/(s*γ_f))^(1/3)
This formula uses 5 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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Kinematic Viscosity - (Measured in Square Meter per Second) - The Kinematic Viscosity refers to the fluid’s internal resistance to flow under the influence of gravity.
Slope of Bed - The Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields.
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

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Kinematic Viscosity: 4 Square Meter per Second --> 4 Square Meter per Second No Conversion Required
Slope of Bed: 0.01 --> 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 = ((3*μ*ν)/(s*γ_f))^(1/3) --> ((3*1.02*4)/(0.01*9.81))^(1/3)

Evaluating ... ...

d_section = 4.99694002371552

STEP 3: Convert Result to Output's Unit

4.99694002371552 Meter --> No Conversion Required

FINAL ANSWER

4.99694002371552 ≈ 4.99694 Meter <-- Diameter of Section

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Laminar Flow of Fluid in an Open Channel » Diameter of Section given Discharge per Unit Channel Width

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

< 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 Discharge per Unit Channel Width Formula

LaTeX Go

Diameter of Section = ((3*Dynamic Viscosity*Kinematic Viscosity)/(Slope of Bed*Specific Weight of Liquid))^(1/3)
d_section = ((3*μ*ν)/(s*γ_f))^(1/3)

What is Specific Weight of Liquid?

In fluid mechanics, specific weight represents the force exerted by gravity on a unit volume of a fluid. For this reason, units are expressed as force per unit volume (e.g., N/m3 or lbf/ft3). Specific weight can be used as a characteristic property of a fluid.

How to Calculate Diameter of Section given Discharge per Unit Channel Width?

Diameter of Section given Discharge per Unit Channel Width calculator uses Diameter of Section = ((3*Dynamic Viscosity*Kinematic Viscosity)/(Slope of Bed*Specific Weight of Liquid))^(1/3) to calculate the Diameter of Section, The Diameter of Section given Discharge per Unit Channel Width is defined as the width of overall section or channel. Diameter of Section is denoted by d_section symbol.

How to calculate Diameter of Section given Discharge per Unit Channel Width using this online calculator? To use this online calculator for Diameter of Section given Discharge per Unit Channel Width, enter Dynamic Viscosity (μ), Kinematic Viscosity (ν), Slope of Bed (s) & Specific Weight of Liquid (γ_f) and hit the calculate button. Here is how the Diameter of Section given Discharge per Unit Channel Width calculation can be explained with given input values -> 6.786409 = ((3*1.02*4)/(0.01*9810))^(1/3).

FAQ

What is Diameter of Section given Discharge per Unit Channel Width?

The Diameter of Section given Discharge per Unit Channel Width is defined as the width of overall section or channel and is represented as d_section = ((3*μ*ν)/(s*γ_f))^(1/3) or Diameter of Section = ((3*Dynamic Viscosity*Kinematic Viscosity)/(Slope of Bed*Specific Weight of Liquid))^(1/3). The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, The Kinematic Viscosity refers to the fluid’s internal resistance to flow under the influence of gravity, The Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields & The Specific Weight of Liquid refers to the weight per unit volume of that substance.

How to calculate Diameter of Section given Discharge per Unit Channel Width?

The Diameter of Section given Discharge per Unit Channel Width is defined as the width of overall section or channel is calculated using Diameter of Section = ((3*Dynamic Viscosity*Kinematic Viscosity)/(Slope of Bed*Specific Weight of Liquid))^(1/3). To calculate Diameter of Section given Discharge per Unit Channel Width, you need Dynamic Viscosity (μ), Kinematic Viscosity (ν), Slope of Bed (s) & Specific Weight of Liquid (γ_f). With our tool, you need to enter the respective value for Dynamic Viscosity, Kinematic Viscosity, Slope of Bed & 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 Dynamic Viscosity, Kinematic Viscosity, Slope of Bed & Specific Weight of Liquid. 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 = 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

Home

FREE PDFs

🔍 Search