Diameter of Section given Slope of Channel Calculator

✖The Shear Stress refers to the 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%
✖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 Horizontal Distance refers to the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance [R]			+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 Slope of Channel [d_section]

⎘ Copy

👎

Formula

✖

Diameter of Section given Slope of Channel

Formula

d section = (\frac{𝜏}{s \cdot γ f}) + R

Example

6.01 m = (\frac{490.5 Pa}{0.01 \cdot 9.81 kN/m³}) + 1.01 m

Calculator

LaTeX

Reset

👍

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

Diameter of Section given Slope of Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Section = (Shear Stress/(Slope of Bed*Specific Weight of Liquid))+Horizontal Distance
d_section = (𝜏/(s*γ_f))+R
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.
Shear Stress - (Measured in Pascal) - The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
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 Newton per Cubic Meter) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.
Horizontal Distance - (Measured in Meter) - The Horizontal Distance refers to the instantaneous horizontal distance cover by an object in a projectile motion.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 490.5 Pascal --> 490.5 Pascal No Conversion Required
Slope of Bed: 0.01 --> No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Horizontal Distance: 1.01 Meter --> 1.01 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_section = (𝜏/(s*γ_f))+R --> (490.5/(0.01*9810))+1.01

Evaluating ... ...

d_section = 6.01

STEP 3: Convert Result to Output's Unit

6.01 Meter --> No Conversion Required

FINAL ANSWER

6.01 Meter <-- Diameter of Section

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Laminar Flow of Fluid in an Open Channel » Diameter of Section given Slope of Channel

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< 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

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

Mean Velocity of Flow in Section

Go Mean Velocity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity

Diameter of Section given Slope of Channel Formula

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

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 Slope of Channel?

Diameter of Section given Slope of Channel calculator uses Diameter of Section = (Shear Stress/(Slope of Bed*Specific Weight of Liquid))+Horizontal Distance to calculate the Diameter of Section, The Diameter of Section given Slope of Channel formula is defined as depth of section of flow with respect to center distance of section. Diameter of Section is denoted by d_section symbol.

How to calculate Diameter of Section given Slope of Channel using this online calculator? To use this online calculator for Diameter of Section given Slope of Channel, enter Shear Stress (𝜏), Slope of Bed (s), Specific Weight of Liquid (γ_f) & Horizontal Distance (R) and hit the calculate button. Here is how the Diameter of Section given Slope of Channel calculation can be explained with given input values -> 5001.01 = (490.5/(0.01*9810))+1.01.

FAQ

What is Diameter of Section given Slope of Channel?

The Diameter of Section given Slope of Channel formula is defined as depth of section of flow with respect to center distance of section and is represented as d_section = (𝜏/(s*γ_f))+R or Diameter of Section = (Shear Stress/(Slope of Bed*Specific Weight of Liquid))+Horizontal Distance. The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, 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 & The Horizontal Distance refers to the instantaneous horizontal distance cover by an object in a projectile motion.

How to calculate Diameter of Section given Slope of Channel?

The Diameter of Section given Slope of Channel formula is defined as depth of section of flow with respect to center distance of section is calculated using Diameter of Section = (Shear Stress/(Slope of Bed*Specific Weight of Liquid))+Horizontal Distance. To calculate Diameter of Section given Slope of Channel, you need Shear Stress (𝜏), Slope of Bed (s), Specific Weight of Liquid (γ_f) & Horizontal Distance (R). With our tool, you need to enter the respective value for Shear Stress, Slope of Bed, Specific Weight of Liquid & Horizontal Distance 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 Shear Stress, Slope of Bed, Specific Weight of Liquid & Horizontal Distance. 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 = ((3*Dynamic Viscosity*Kinematic Viscosity)/(Slope of Bed*Specific Weight of Liquid))^(1/3)
Diameter of Section = sqrt((3*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction))

Home

FREE PDFs

🔍 Search