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Wetted Area given Discharge through Channels Formula

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Wetted Surface Area of Channel [length^2] is the total area of outer surface in contact with the surrounding water. Check FAQs

A = {(({(\frac{Q}{C})}^{2}) \cdot \frac{p}{S})}^{\frac{1}{3}}

A - Wetted Surface Area of Channel?Q - Discharge of Channel?C - Chezy's Constant?p - Wetted Perimeter of Channel?S - Bed Slope?

Wetted Area given Discharge through Channels Example

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Here is how the Wetted Area given Discharge through Channels equation looks like with Values.

Here is how the Wetted Area given Discharge through Channels equation looks like with Units.

Here is how the Wetted Area given Discharge through Channels equation looks like.

16.985 = {(({(\frac{14}{40})}^{2}) \cdot \frac{16}{0.0004})}^{\frac{1}{3}}

16.985m² = {(({(\frac{14m³/s}{40})}^{2}) \cdot \frac{16m}{0.0004})}^{\frac{1}{3}}

16.985 = {(({(\frac{14}{40})}^{2}) \cdot \frac{16}{0.0004})}^{\frac{1}{3}}

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Wetted Area given Discharge through Channels Solution

Follow our step by step solution on how to calculate Wetted Area given Discharge through Channels?

FIRST Step Consider the formula

A = {(({(\frac{Q}{C})}^{2}) \cdot \frac{p}{S})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

A = {(({(\frac{14m³/s}{40})}^{2}) \cdot \frac{16m}{0.0004})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

A = {(({(\frac{14}{40})}^{2}) \cdot \frac{16}{0.0004})}^{\frac{1}{3}}

Next Step Evaluate

∴

A = 16.9849925224181m²

LAST Step Rounding Answer

∴

A = 16.985m²

Wetted Area given Discharge through Channels Formula Elements

Variables

Wetted Surface Area of Channel

Wetted Surface Area of Channel [length^2] is the total area of outer surface in contact with the surrounding water.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Wetted Surface Area of Channel

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

Chezy's Constant

The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Chezy's Constant

Wetted Perimeter of Channel

Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.

Symbol: p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wetted Perimeter of Channel

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

Other formulas in Circular Section category

Go Discharge through Channels

Q = C \cdot \sqrt{(A^{3}) \cdot \frac{S}{p}}

Go Chezy Constant given Discharge through Channels

C = \frac{Q}{\sqrt{(A^{3}) \cdot \frac{S}{p}}}

Go Wetted Perimeter given Discharge through Channels

p = \frac{(A^{3}) \cdot S}{{(\frac{Q}{C})}^{2}}

Go Side Slope of Channel Bed given Discharge through Channels

S = \frac{p}{\frac{(A^{3})}{{(\frac{Q}{C})}^{2}}}

How to Evaluate Wetted Area given Discharge through Channels?

Wetted Area given Discharge through Channels evaluator uses Wetted Surface Area of Channel = (((Discharge of Channel/Chezy's Constant)^2)*Wetted Perimeter of Channel/Bed Slope)^(1/3) to evaluate the Wetted Surface Area of Channel, The Wetted Area given Discharge through Channels is defined as amount of area in contact with water. Wetted Surface Area of Channel is denoted by A symbol.

How to evaluate Wetted Area given Discharge through Channels using this online evaluator? To use this online evaluator for Wetted Area given Discharge through Channels, enter Discharge of Channel (Q), Chezy's Constant (C), Wetted Perimeter of Channel (p) & Bed Slope (S) and hit the calculate button.

FAQs on Wetted Area given Discharge through Channels

What is the formula to find Wetted Area given Discharge through Channels?

The formula of Wetted Area given Discharge through Channels is expressed as Wetted Surface Area of Channel = (((Discharge of Channel/Chezy's Constant)^2)*Wetted Perimeter of Channel/Bed Slope)^(1/3). Here is an example- 16.98499 = (((14/40)^2)*16/0.0004)^(1/3).

How to calculate Wetted Area given Discharge through Channels?

With Discharge of Channel (Q), Chezy's Constant (C), Wetted Perimeter of Channel (p) & Bed Slope (S) we can find Wetted Area given Discharge through Channels using the formula - Wetted Surface Area of Channel = (((Discharge of Channel/Chezy's Constant)^2)*Wetted Perimeter of Channel/Bed Slope)^(1/3).

Can the Wetted Area given Discharge through Channels be negative?

Yes, the Wetted Area given Discharge through Channels, measured in Area can be negative.

Which unit is used to measure Wetted Area given Discharge through Channels?

Wetted Area given Discharge through Channels is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Wetted Area given Discharge through Channels can be measured.

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Wetted Area given Discharge through Channels Formula

Wetted Area given Discharge through Channels Example

Wetted Area given Discharge through Channels Solution

Wetted Area given Discharge through Channels Formula Elements

Other formulas in Circular Section category

How to Evaluate Wetted Area given Discharge through Channels?

FAQs on Wetted Area given Discharge through Channels

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