Slope of Channel Bed given Average Velocity in Channel Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bed Slope = (Average Velocity of Flow/(sqrt(8*[g]*Hydraulic Radius of Channel/Darcy Friction Factor)))^2
S = (Vavg/(sqrt(8*[g]*RH/f)))^2
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
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.
Average Velocity of Flow - (Measured in Meter per Second) - Average Velocity of Flow is defined as the mean of all different velocities.
Hydraulic Radius of Channel - (Measured in Meter) - Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.
Darcy Friction Factor - The Darcy Friction Factor is a dimensionless parameter used to describe the resistance to fluid flow in pipes or channels.
STEP 1: Convert Input(s) to Base Unit
Average Velocity of Flow: 0.32 Meter per Second --> 0.32 Meter per Second No Conversion Required
Hydraulic Radius of Channel: 1.6 Meter --> 1.6 Meter No Conversion Required
Darcy Friction Factor: 0.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = (Vavg/(sqrt(8*[g]*RH/f)))^2 --> (0.32/(sqrt(8*[g]*1.6/0.5)))^2
Evaluating ... ...
S = 0.000407886485191171
STEP 3: Convert Result to Output's Unit
0.000407886485191171 --> No Conversion Required
FINAL ANSWER
0.000407886485191171 0.000408 <-- Bed Slope
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has verified this Calculator and 2600+ more calculators!

9 Average Velocity in Uniform Flow in Channels Calculators

Slope of Channel Bed given Average Velocity in Channel
Go Bed Slope = (Average Velocity of Flow/(sqrt(8*[g]*Hydraulic Radius of Channel/Darcy Friction Factor)))^2
Hydraulic Radius given Average Velocity in Channel
Go Hydraulic Radius of Channel = (Average Velocity of Flow/(sqrt(8*[g]*Bed Slope/Darcy Friction Factor)))^2
Average Velocity in Channel
Go Average Velocity of Flow = sqrt(8*[g]*Hydraulic Radius of Channel*Bed Slope/Darcy Friction Factor)
Friction Factor given Average Velocity in Channel
Go Darcy Friction Factor = (8*[g]*Hydraulic Radius of Channel*Bed Slope/Average Velocity of Flow^2)
Specific Weight of Liquid given Boundary Shear Stress
Go Liquid Specific Weight = Shear Stress of Wall/(Hydraulic Radius of Channel*Bed Slope)
Slope of Channel Bottom given Boundary Shear Stress
Go Bed Slope = Shear Stress of Wall/(Liquid Specific Weight*Hydraulic Radius of Channel)
Hydraulic Radius given Boundary Shear Stress
Go Hydraulic Radius of Channel = Shear Stress of Wall/(Liquid Specific Weight*Bed Slope)
Boundary Shear Stress
Go Shear Stress of Wall = Liquid Specific Weight*Hydraulic Radius of Channel*Bed Slope
Strickler Formula for Average Height of Roughness Protrusions
Go Roughness Value = (21*Manning’s Roughness Coefficient)^(6)

Slope of Channel Bed given Average Velocity in Channel Formula

Bed Slope = (Average Velocity of Flow/(sqrt(8*[g]*Hydraulic Radius of Channel/Darcy Friction Factor)))^2
S = (Vavg/(sqrt(8*[g]*RH/f)))^2

What is Average Velocity?

The average velocity of an object is its total displacement divided by the total time taken. In other words, it is the rate at which an object changes its position from one place to another. Average velocity is a vector quantity.

How to Calculate Slope of Channel Bed given Average Velocity in Channel?

Slope of Channel Bed given Average Velocity in Channel calculator uses Bed Slope = (Average Velocity of Flow/(sqrt(8*[g]*Hydraulic Radius of Channel/Darcy Friction Factor)))^2 to calculate the Bed Slope, The Slope of Channel Bed given Average Velocity in Channel is defined as elevation of channel with respect to horizontal or Ground level. Bed Slope is denoted by S symbol.

How to calculate Slope of Channel Bed given Average Velocity in Channel using this online calculator? To use this online calculator for Slope of Channel Bed given Average Velocity in Channel, enter Average Velocity of Flow (Vavg), Hydraulic Radius of Channel (RH) & Darcy Friction Factor (f) and hit the calculate button. Here is how the Slope of Channel Bed given Average Velocity in Channel calculation can be explained with given input values -> 0.000408 = (0.32/(sqrt(8*[g]*1.6/0.5)))^2.

FAQ

What is Slope of Channel Bed given Average Velocity in Channel?
The Slope of Channel Bed given Average Velocity in Channel is defined as elevation of channel with respect to horizontal or Ground level and is represented as S = (Vavg/(sqrt(8*[g]*RH/f)))^2 or Bed Slope = (Average Velocity of Flow/(sqrt(8*[g]*Hydraulic Radius of Channel/Darcy Friction Factor)))^2. Average Velocity of Flow is defined as the mean of all different velocities, Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit & The Darcy Friction Factor is a dimensionless parameter used to describe the resistance to fluid flow in pipes or channels.
How to calculate Slope of Channel Bed given Average Velocity in Channel?
The Slope of Channel Bed given Average Velocity in Channel is defined as elevation of channel with respect to horizontal or Ground level is calculated using Bed Slope = (Average Velocity of Flow/(sqrt(8*[g]*Hydraulic Radius of Channel/Darcy Friction Factor)))^2. To calculate Slope of Channel Bed given Average Velocity in Channel, you need Average Velocity of Flow (Vavg), Hydraulic Radius of Channel (RH) & Darcy Friction Factor (f). With our tool, you need to enter the respective value for Average Velocity of Flow, Hydraulic Radius of Channel & Darcy Friction Factor 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 Bed Slope?
In this formula, Bed Slope uses Average Velocity of Flow, Hydraulic Radius of Channel & Darcy Friction Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Bed Slope = Shear Stress of Wall/(Liquid Specific Weight*Hydraulic Radius of Channel)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!