Side Slope of Channel given Critical Depth for Parabolic Channel Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bed Slope = (3.375*((Discharge of Channel)^2)/((Critical Depth of Parabolic Channel^4)*[g]))^(1/2)
S = (3.375*((Q)^2)/((hp^4)*[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 Parabolic Channel - (Measured in Meter) - The Critical Depth of Parabolic Channel 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 Parabolic Channel: 143 Meter --> 143 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = (3.375*((Q)^2)/((hp^4)*[g]))^(1/2) --> (3.375*((14)^2)/((143^4)*[g]))^(1/2)
Evaluating ... ...
S = 0.000401635887517008
STEP 3: Convert Result to Output's Unit
0.000401635887517008 --> No Conversion Required
FINAL ANSWER
0.000401635887517008 0.000402 <-- Bed Slope
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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16 Critical Flow and its Computation Calculators

Discharge given Critical Depth for Parabolic Channel
Go Discharge of Channel = sqrt((Critical Depth of Parabolic Channel^4)*((Bed Slope)^2)*0.29629629629 *[g])
Discharge given Critical Depth for Triangular Channel
Go Discharge of Channel = sqrt((Critical Depth of Triangular Channnel^5)*((Bed Slope)^2)*0.5*[g])
Side Slope of Channel given Critical Depth for Parabolic Channel
Go Bed Slope = (3.375*((Discharge of Channel)^2)/((Critical Depth of Parabolic Channel^4)*[g]))^(1/2)
Side Slope of Channel given Critical Depth for Triangular Channel
Go Bed Slope = (2*((Discharge of Channel)^2)/((Critical Depth of Triangular Channnel^5)*[g]))^(1/2)
Critical Depth for Parabolic Channel
Go Critical Depth of Parabolic Channel = (3.375*((Discharge of Channel/Bed Slope)^2)/[g])^(1/4)
Critical Depth for Triangular Channel
Go Critical Depth of Triangular Channnel = (2*((Discharge of Channel/Bed Slope)^2)/[g])^(1/5)
Critical Depth for Rectangular Channel
Go Critical Depth of Rectangular Channel = ((Discharge per unit Width^2)/([g]))^(1/3)
Discharge per unit Width given Critical Depth for Rectangular Channel
Go Discharge per unit Width = ((Critical Depth of Rectangular Channel^3)*[g])^(1/2)
Discharge given Critical Section Factor
Go Discharge of Channel = Section Factor*sqrt([g])
Critical Section Factor
Go Section Factor = Discharge of Channel/sqrt([g])
Critical Depth given Critical Energy for Rectangular Channel
Go Critical Depth of Rectangular Channel = Critical Energy of Rectangular Channel/1.5
Critical Depth given Critical Energy for Triangular Channel
Go Critical Depth of Triangular Channnel = Critical Energy of Triangular Channel/1.25
Critical Energy for Rectangular Channel
Go Critical Energy of Rectangular Channel = 1.5*Critical Depth of Rectangular Channel
Critical Energy for Triangular Channel
Go Critical Energy of Triangular Channel = Critical Depth of Triangular Channnel*1.25
Critical Depth of Flow given Critical Energy for Parabolic Channel
Go Critical Depth of Parabolic Channel = Critical energy of Parabolic Channel/(4/3)
Critical Energy for Parabolic Channel
Go Critical energy of Parabolic Channel = (4/3)*Critical Depth of Parabolic Channel

Side Slope of Channel given Critical Depth for Parabolic Channel Formula

Bed Slope = (3.375*((Discharge of Channel)^2)/((Critical Depth of Parabolic Channel^4)*[g]))^(1/2)
S = (3.375*((Q)^2)/((hp^4)*[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 Parabolic Channel?

Side Slope of Channel given Critical Depth for Parabolic Channel calculator uses Bed Slope = (3.375*((Discharge of Channel)^2)/((Critical Depth of Parabolic Channel^4)*[g]))^(1/2) to calculate the Bed Slope, Side Slope of Channel given Critical Depth for Parabolic Channel is defined as the lateral angle at which the channel banks slope, affecting flow capacity and stability. Bed Slope is denoted by S symbol.

How to calculate Side Slope of Channel given Critical Depth for Parabolic Channel using this online calculator? To use this online calculator for Side Slope of Channel given Critical Depth for Parabolic Channel, enter Discharge of Channel (Q) & Critical Depth of Parabolic Channel (hp) and hit the calculate button. Here is how the Side Slope of Channel given Critical Depth for Parabolic Channel calculation can be explained with given input values -> 0.000402 = (3.375*((14)^2)/((143^4)*[g]))^(1/2).

FAQ

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