Side Slope of Channel given Critical Depth for Triangular Channel Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bed Slope = (2*((Discharge of Channel)^2)/((Critical Depth of Triangular Channnel^5)*[g]))^(1/2)
S = (2*((Q)^2)/((ht^5)*[g]))^(1/2)
This formula uses 1 Constants, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
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.
Discharge of Channel - (Measured in Cubic Meter per Second) - Discharge of Channel is the rate of flow of a liquid.
Critical Depth of Triangular Channnel - (Measured in Meter) - The Critical Depth of Triangular Channnel is defined as the depth of flow where energy is at a minimum for a particular discharge.
STEP 1: Convert Input(s) to Base Unit
Discharge of Channel: 14 Cubic Meter per Second --> 14 Cubic Meter per Second No Conversion Required
Critical Depth of Triangular Channnel: 47.8 Meter --> 47.8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = (2*((Q)^2)/((ht^5)*[g]))^(1/2) --> (2*((14)^2)/((47.8^5)*[g]))^(1/2)
Evaluating ... ...
S = 0.000400233055274369
STEP 3: Convert Result to Output's Unit
0.000400233055274369 --> No Conversion Required
FINAL ANSWER
0.000400233055274369 0.0004 <-- Bed Slope
(Calculation completed in 00.004 seconds)

Credits

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Critical Flow and its Computation Calculators

Critical Depth for Rectangular Channel
​ LaTeX ​ Go Critical Depth of Rectangular Channel = ((Discharge per unit Width^2)/([g]))^(1/3)
Discharge per unit Width given Critical Depth for Rectangular Channel
​ LaTeX ​ Go Discharge per unit Width = ((Critical Depth of Rectangular Channel^3)*[g])^(1/2)
Discharge given Critical Section Factor
​ LaTeX ​ Go Discharge of Channel = Section Factor*sqrt([g])
Critical Section Factor
​ LaTeX ​ Go Section Factor = Discharge of Channel/sqrt([g])

Side Slope of Channel given Critical Depth for Triangular Channel Formula

​LaTeX ​Go
Bed Slope = (2*((Discharge of Channel)^2)/((Critical Depth of Triangular Channnel^5)*[g]))^(1/2)
S = (2*((Q)^2)/((ht^5)*[g]))^(1/2)

What is Critical Energy of Channel?

In open channel flow, specific energy ( e ) is the energy length, or head, relative to the channel bottom. It is also the fundamental relationship used in the standard step method to calculate how the depth of a flow changes over a reach from the energy gained or lost due to the slope of the channel.

How to Calculate Side Slope of Channel given Critical Depth for Triangular Channel?

Side Slope of Channel given Critical Depth for Triangular Channel calculator uses Bed Slope = (2*((Discharge of Channel)^2)/((Critical Depth of Triangular Channnel^5)*[g]))^(1/2) to calculate the Bed Slope, Side Slope of Channel given Critical Depth for Triangular Channel is defined as slope of channel with respect to vertical. Bed Slope is denoted by S symbol.

How to calculate Side Slope of Channel given Critical Depth for Triangular Channel using this online calculator? To use this online calculator for Side Slope of Channel given Critical Depth for Triangular Channel, enter Discharge of Channel (Q) & Critical Depth of Triangular Channnel (ht) and hit the calculate button. Here is how the Side Slope of Channel given Critical Depth for Triangular Channel calculation can be explained with given input values -> 0.0004 = (2*((14)^2)/((47.8^5)*[g]))^(1/2).

FAQ

What is Side Slope of Channel given Critical Depth for Triangular Channel?
Side Slope of Channel given Critical Depth for Triangular Channel is defined as slope of channel with respect to vertical and is represented as S = (2*((Q)^2)/((ht^5)*[g]))^(1/2) or Bed Slope = (2*((Discharge of Channel)^2)/((Critical Depth of Triangular Channnel^5)*[g]))^(1/2). Discharge of Channel is the rate of flow of a liquid & The Critical Depth of Triangular Channnel is defined as the depth of flow where energy is at a minimum for a particular discharge.
How to calculate Side Slope of Channel given Critical Depth for Triangular Channel?
Side Slope of Channel given Critical Depth for Triangular Channel is defined as slope of channel with respect to vertical is calculated using Bed Slope = (2*((Discharge of Channel)^2)/((Critical Depth of Triangular Channnel^5)*[g]))^(1/2). To calculate Side Slope of Channel given Critical Depth for Triangular Channel, you need Discharge of Channel (Q) & Critical Depth of Triangular Channnel (ht). With our tool, you need to enter the respective value for Discharge of Channel & Critical Depth of Triangular Channnel 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 Discharge of Channel & Critical Depth of Triangular Channnel. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Bed Slope = (3.375*((Discharge of Channel)^2)/((Critical Depth of Parabolic Channel^4)*[g]))^(1/2)
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