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Side Slope of Channel given Critical Depth for Parabolic Channel Formula

GoSide Slope of Channel given Critical Depth for Triangular Channel Formula

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Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow. Check FAQs

S = {(3.375 \cdot \frac{{(Q)}^{2}}{({h p}^{4}) \cdot [g]})}^{\frac{1}{2}}

S - Bed Slope?Q - Discharge of Channel?h_p - Critical Depth of Parabolic Channel?[g] - Gravitational acceleration on Earth?

Side Slope of Channel given Critical Depth for Parabolic Channel Example

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Here is how the Side Slope of Channel given Critical Depth for Parabolic Channel equation looks like with Values.

Here is how the Side Slope of Channel given Critical Depth for Parabolic Channel equation looks like with Units.

Here is how the Side Slope of Channel given Critical Depth for Parabolic Channel equation looks like.

0.0004 = {(3.375 \cdot \frac{{(14)}^{2}}{(143^{4}) \cdot 9.8066})}^{\frac{1}{2}}

0.0004 = {(3.375 \cdot \frac{{(14m³/s)}^{2}}{({143m}^{4}) \cdot 9.8066m/s²})}^{\frac{1}{2}}

0.0004 = {(3.375 \cdot \frac{{(14)}^{2}}{(143^{4}) \cdot 9.8066})}^{\frac{1}{2}}

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Side Slope of Channel given Critical Depth for Parabolic Channel Solution

Follow our step by step solution on how to calculate Side Slope of Channel given Critical Depth for Parabolic Channel?

FIRST Step Consider the formula

S = {(3.375 \cdot \frac{{(Q)}^{2}}{({h p}^{4}) \cdot [g]})}^{\frac{1}{2}}

Next Step Substitute values of Variables

∴

S = {(3.375 \cdot \frac{{(14m³/s)}^{2}}{({143m}^{4}) \cdot [g]})}^{\frac{1}{2}}

Next Step Substitute values of Constants

∴

S = {(3.375 \cdot \frac{{(14m³/s)}^{2}}{({143m}^{4}) \cdot 9.8066m/s²})}^{\frac{1}{2}}

Next Step Prepare to Evaluate

∴

S = {(3.375 \cdot \frac{{(14)}^{2}}{(143^{4}) \cdot 9.8066})}^{\frac{1}{2}}

Next Step Evaluate

∴

S = 0.000401635887517008

LAST Step Rounding Answer

∴

S = 0.0004

Side Slope of Channel given Critical Depth for Parabolic Channel Formula Elements

Variables

Constants

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.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bed Slope

Discharge of Channel

Discharge of Channel is the rate of flow of a liquid.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge of Channel

Critical Depth of Parabolic Channel

The Critical Depth of Parabolic Channel is defined as the depth of flow where energy is at a minimum for a particular discharge.

Symbol: h_p

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Critical Depth of Parabolic Channel

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other Formulas to find Bed Slope

Go Side Slope of Channel given Critical Depth for Triangular Channel

S = {(2 \cdot \frac{{(Q)}^{2}}{({h t}^{5}) \cdot [g]})}^{\frac{1}{2}}

Other formulas in Critical Flow and its Computation category

Go Critical Section Factor

Z = \frac{Q}{\sqrt{[g]}}

Go Discharge given Critical Section Factor

Q = Z \cdot \sqrt{[g]}

Go Critical Depth for Rectangular Channel

h r = {(\frac{q^{2}}{[g]})}^{\frac{1}{3}}

Go Discharge per unit Width given Critical Depth for Rectangular Channel

q = {(({h r}^{3}) \cdot [g])}^{\frac{1}{2}}

How to Evaluate Side Slope of Channel given Critical Depth for Parabolic Channel?

Side Slope of Channel given Critical Depth for Parabolic Channel evaluator uses Bed Slope = (3.375*((Discharge of Channel)^2)/((Critical Depth of Parabolic Channel^4)*[g]))^(1/2) to evaluate 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 evaluate Side Slope of Channel given Critical Depth for Parabolic Channel using this online evaluator? To use this online evaluator for Side Slope of Channel given Critical Depth for Parabolic Channel, enter Discharge of Channel (Q) & Critical Depth of Parabolic Channel (h_p) and hit the calculate button.

FAQs on Side Slope of Channel given Critical Depth for Parabolic Channel

What is the formula to find Side Slope of Channel given Critical Depth for Parabolic Channel?

The formula of Side Slope of Channel given Critical Depth for Parabolic Channel is expressed as Bed Slope = (3.375*((Discharge of Channel)^2)/((Critical Depth of Parabolic Channel^4)*[g]))^(1/2). Here is an example- 0.000402 = (3.375*((14)^2)/((143^4)*[g]))^(1/2).

How to calculate Side Slope of Channel given Critical Depth for Parabolic Channel?

With Discharge of Channel (Q) & Critical Depth of Parabolic Channel (h_p) we can find Side Slope of Channel given Critical Depth for Parabolic Channel using the formula - Bed Slope = (3.375*((Discharge of Channel)^2)/((Critical Depth of Parabolic Channel^4)*[g]))^(1/2). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Bed Slope?

Here are the different ways to Calculate Bed Slope-

Bed Slope=(2*((Discharge of Channel)^2)/((Critical Depth of Triangular Channnel^5)*[g]))^(1/2)

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