Discharge per unit channel width Calculator

✖The Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+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 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 [d_section]			+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 Kinematic Viscosity refers to the fluid’s internal resistance to flow under the influence of gravity.ⓘ Discharge per unit channel width [ν]

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Discharge per unit channel width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Kinematic Viscosity = (Specific Weight of Liquid*Slope of Bed*Diameter of Section^3)/(3*Dynamic Viscosity)
ν = (γ_f*s*d_section^3)/(3*μ)
This formula uses 5 Variables

Variables Used

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.
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.
Slope of Bed - The Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields.
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.

STEP 1: Convert Input(s) to Base Unit

Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
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

ν = (γ_f*s*d_section^3)/(3*μ) --> (9.81*0.01*5^3)/(3*1.02)

Evaluating ... ...

ν = 4.00735294117647

STEP 3: Convert Result to Output's Unit

4.00735294117647 Square Meter per Second --> No Conversion Required

FINAL ANSWER

4.00735294117647 ≈ 4.007353 Square Meter per Second <-- Kinematic Viscosity

(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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< 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

Discharge per unit channel width Formula

LaTeX Go

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

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 Kinematic Viscosity = (Specific Weight of Liquid*Slope of Bed*Diameter of Section^3)/(3*Dynamic Viscosity) to calculate the Kinematic Viscosity, The Discharge per Unit Channel Width formula is defined as amount of fluid on through the section of the channel in the whole length. Kinematic Viscosity is denoted by ν 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 (s), Diameter of Section (d_section) & Dynamic Viscosity (μ) and hit the calculate button. Here is how the Discharge per unit channel width calculation can be explained with given input values -> 4.007353 = (9810*0.01*5^3)/(3*1.02).

FAQ

What is Discharge per unit channel width?

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

How to calculate Discharge per unit channel width?

The Discharge per Unit Channel Width formula is defined as amount of fluid on through the section of the channel in the whole length is calculated using Kinematic Viscosity = (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 (s), Diameter of Section (d_section) & Dynamic Viscosity (μ). 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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