Horizontal Distance given Slope of Channel Calculator

✖Diameter of Section is the diameter of the circular cross-section of the beam.ⓘ Diameter of Section [d_section]			+10% -10%
✖Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress [𝜏]			+10% -10%
✖Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.ⓘ Bed Slope [S̄]			+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%

✖Horizontal Distance is the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance given Slope of Channel [R]

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Formula

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Horizontal Distance given Slope of Channel

Formula

`"R" = "d"_{"section"}-("𝜏"/("S̄"*"γ"_{"f"}))`

Example

`"4.997627m"="5m"-("93.1Pa"/("4"*"9.81kN/m³"))`

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Horizontal Distance given Slope of Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Distance = Diameter of Section-(Shear Stress/(Bed Slope*Specific Weight of Liquid))
R = d_section-(𝜏/(S̄*γ_f))
This formula uses 5 Variables

Variables Used

Horizontal Distance - (Measured in Meter) - Horizontal Distance is the instantaneous horizontal distance cover by an object in a projectile motion.
Diameter of Section - (Measured in Meter) - Diameter of Section is the diameter of the circular cross-section of the beam.
Shear Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Bed Slope - Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.
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.

STEP 1: Convert Input(s) to Base Unit

Diameter of Section: 5 Meter --> 5 Meter No Conversion Required
Shear Stress: 93.1 Pascal --> 93.1 Pascal No Conversion Required
Bed Slope: 4 --> No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = d_section-(𝜏/(S̄*γ_f)) --> 5-(93.1/(4*9810))

Evaluating ... ...

R = 4.99762742099898

STEP 3: Convert Result to Output's Unit

4.99762742099898 Meter --> No Conversion Required

FINAL ANSWER

4.99762742099898 ≈ 4.997627 Meter <-- Horizontal Distance

(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 » Horizontal Distance given Slope of Channel

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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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

Horizontal Distance given Slope of Channel Formula

Horizontal Distance = Diameter of Section-(Shear Stress/(Bed Slope*Specific Weight of Liquid))
R = d_section-(𝜏/(S̄*γ_f))

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 Horizontal Distance given Slope of Channel?

Horizontal Distance given Slope of Channel calculator uses Horizontal Distance = Diameter of Section-(Shear Stress/(Bed Slope*Specific Weight of Liquid)) to calculate the Horizontal Distance, The Horizontal Distance given Slope of Channel is defined as the total or measured depth of flow at the section in the flow stream. Horizontal Distance is denoted by R symbol.

How to calculate Horizontal Distance given Slope of Channel using this online calculator? To use this online calculator for Horizontal Distance given Slope of Channel, enter Diameter of Section (d_section), Shear Stress (𝜏), Bed Slope (S̄) & Specific Weight of Liquid (γ_f) and hit the calculate button. Here is how the Horizontal Distance given Slope of Channel calculation can be explained with given input values -> 4.997627 = 5-(93.1/(4*9810)).

FAQ

What is Horizontal Distance given Slope of Channel?

The Horizontal Distance given Slope of Channel is defined as the total or measured depth of flow at the section in the flow stream and is represented as R = d_section-(𝜏/(S̄*γ_f)) or Horizontal Distance = Diameter of Section-(Shear Stress/(Bed Slope*Specific Weight of Liquid)). Diameter of Section is the diameter of the circular cross-section of the beam, Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow & Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.

How to calculate Horizontal Distance given Slope of Channel?

The Horizontal Distance given Slope of Channel is defined as the total or measured depth of flow at the section in the flow stream is calculated using Horizontal Distance = Diameter of Section-(Shear Stress/(Bed Slope*Specific Weight of Liquid)). To calculate Horizontal Distance given Slope of Channel, you need Diameter of Section (d_section), Shear Stress (𝜏), Bed Slope (S̄) & Specific Weight of Liquid (γ_f). With our tool, you need to enter the respective value for Diameter of Section, Shear Stress, Bed Slope & 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.

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