Slope of Channel 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 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 [d_section]			+10% -10%

✖The Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields.ⓘ Slope of Channel given Discharge per Unit Channel Width [s]

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Slope of Channel given Discharge per Unit Channel Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

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
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
Diameter of Section: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s = (3*μ*ν)/(γ_f*d_section^3) --> (3*1.02*4)/(9.81*5^3)

Evaluating ... ...

s = 0.00998165137614679

STEP 3: Convert Result to Output's Unit

0.00998165137614679 --> No Conversion Required

FINAL ANSWER

0.00998165137614679 ≈ 0.009982 <-- Slope of Bed

(Calculation completed in 00.004 seconds)

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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

Slope of Channel given Discharge per Unit Channel Width Formula

LaTeX Go

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

What is Channel Gradient?

The Channel Gradient is a fundamental parameter in the geomorphologic characterization of river systems; it is a reflection of the changes in the longitudinal sequence of a river through the presence of waterfalls, step pools (fasts and pools), riffle pools (rapids and pools), etc., which makes it a discriminating.

How to Calculate Slope of Channel given Discharge per Unit Channel Width?

Slope of Channel given Discharge per Unit Channel Width calculator uses Slope of Bed = (3*Dynamic Viscosity*Kinematic Viscosity)/(Specific Weight of Liquid*Diameter of Section^3) to calculate the Slope of Bed, The Slope of Channel given Discharge per Unit Channel Width formula is defined as the rate at which head of the channel is changing with respect to horizontal line. Slope of Bed is denoted by s symbol.

How to calculate Slope of Channel given Discharge per Unit Channel Width using this online calculator? To use this online calculator for Slope of Channel given Discharge per Unit Channel Width, enter Dynamic Viscosity (μ), Kinematic Viscosity (ν), Specific Weight of Liquid (γ_f) & Diameter of Section (d_section) and hit the calculate button. Here is how the Slope of Channel given Discharge per Unit Channel Width calculation can be explained with given input values -> 2.5E-5 = (3*1.02*4)/(9810*5^3).

FAQ

What is Slope of Channel given Discharge per Unit Channel Width?

The Slope of Channel given Discharge per Unit Channel Width formula is defined as the rate at which head of the channel is changing with respect to horizontal line and is represented as s = (3*μ*ν)/(γ_f*d_section^3) or Slope of Bed = (3*Dynamic Viscosity*Kinematic Viscosity)/(Specific Weight of Liquid*Diameter of Section^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 Specific Weight of Liquid refers to the weight per unit volume of that substance & 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.

How to calculate Slope of Channel given Discharge per Unit Channel Width?

The Slope of Channel given Discharge per Unit Channel Width formula is defined as the rate at which head of the channel is changing with respect to horizontal line is calculated using Slope of Bed = (3*Dynamic Viscosity*Kinematic Viscosity)/(Specific Weight of Liquid*Diameter of Section^3). To calculate Slope of Channel given Discharge per Unit Channel Width, you need Dynamic Viscosity (μ), Kinematic Viscosity (ν), Specific Weight of Liquid (γ_f) & Diameter of Section (d_section). With our tool, you need to enter the respective value for Dynamic Viscosity, Kinematic Viscosity, Specific Weight of Liquid & Diameter of Section 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 Slope of Bed?

In this formula, Slope of Bed uses Dynamic Viscosity, Kinematic Viscosity, Specific Weight of Liquid & Diameter of Section. We can use 2 other way(s) to calculate the same, which is/are as follows -

Slope of Bed = Shear Stress/(Specific Weight of Liquid*(Diameter of Section-Horizontal Distance))
Slope of Bed = Shear Stress/(Diameter of Section*Specific Weight of Liquid)

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