Discharge per unit channel width Calculator

✖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 Slope of bed is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.ⓘ Slope of bed [i]			+10% -10%
✖Diameter of Section is the diameter of the circular cross-section of the beam.ⓘ Diameter of Section [d_section]			+10% -10%
✖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%

✖The Discharge per Unit Width is the ratio of total discharge in the channel to the width considered.ⓘ Discharge per unit channel width [q]

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Formula

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Discharge per unit channel width

Formula

`"q" = ("γ"_{"f"}*"i"*"d"_{"section"}^3)/(3*"μ"_{"viscosity"})`

Example

`"4007.353m²/s"=("9.81kN/m³"*"0.01"*("5m")^3)/(3*"10.2P")`

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Discharge per unit channel width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge per Unit Width = (Specific Weight of Liquid*Slope of bed*Diameter of Section^3)/(3*Dynamic Viscosity)
q = (γ_f*i*d_section^3)/(3*μ_viscosity)
This formula uses 5 Variables

Variables Used

Discharge per Unit Width - (Measured in Square Meter per Second) - The Discharge per Unit Width is the ratio of total discharge in the channel to the width considered.
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.
Slope of bed - The Slope of bed is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.
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.

STEP 1: Convert Input(s) to Base Unit

Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Slope of bed: 0.01 --> No Conversion Required
Diameter of Section: 5 Meter --> 5 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

q = (γ_f*i*d_section^3)/(3*μ_viscosity) --> (9810*0.01*5^3)/(3*1.02)

Evaluating ... ...

q = 4007.35294117647

STEP 3: Convert Result to Output's Unit

4007.35294117647 Square Meter per Second --> No Conversion Required

FINAL ANSWER

4007.35294117647 ≈ 4007.353 Square Meter per Second <-- Discharge per Unit Width

(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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Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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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

Discharge per unit channel width Formula

Discharge per Unit Width = (Specific Weight of Liquid*Slope of bed*Diameter of Section^3)/(3*Dynamic Viscosity)
q = (γ_f*i*d_section^3)/(3*μ_viscosity)

What is Rate of Flow?

Rate of flow may refer to: Mass flow rate, the movement of mass per time. Volumetric flow rate, the volume of a fluid which passes through a given surface per unit of time. Heat flow rate, the movement of heat per time.

How to Calculate Discharge per unit channel width?

Discharge per unit channel width calculator uses Discharge per Unit Width = (Specific Weight of Liquid*Slope of bed*Diameter of Section^3)/(3*Dynamic Viscosity) to calculate the Discharge per Unit Width, The Discharge per unit channel width is defined as amount of fluid on through the section of the channel in the whole length. Discharge per Unit Width is denoted by q symbol.

How to calculate Discharge per unit channel width using this online calculator? To use this online calculator for Discharge per unit channel width, enter Specific Weight of Liquid (γ_f), Slope of bed (i), Diameter of Section (d_section) & Dynamic Viscosity (μ_viscosity) and hit the calculate button. Here is how the Discharge per unit channel width calculation can be explained with given input values -> 4007.353 = (9810*0.01*5^3)/(3*1.02).

FAQ

What is Discharge per unit channel width?

The Discharge per unit channel width is defined as amount of fluid on through the section of the channel in the whole length and is represented as q = (γ_f*i*d_section^3)/(3*μ_viscosity) or Discharge per Unit Width = (Specific Weight of Liquid*Slope of bed*Diameter of Section^3)/(3*Dynamic Viscosity). Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid, The Slope of bed is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow, Diameter of Section is the diameter of the circular cross-section of the beam & The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

How to calculate Discharge per unit channel width?

The Discharge per unit channel width is defined as amount of fluid on through the section of the channel in the whole length is calculated using Discharge per Unit Width = (Specific Weight of Liquid*Slope of bed*Diameter of Section^3)/(3*Dynamic Viscosity). To calculate Discharge per unit channel width, you need Specific Weight of Liquid (γ_f), Slope of bed (i), Diameter of Section (d_section) & Dynamic Viscosity (μ_viscosity). With our tool, you need to enter the respective value for Specific Weight of Liquid, Slope of bed, Diameter of Section & 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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