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Area of Section Considering Condition of Maximum Discharge Formula

GoArea of Section of Open Channel Considering Condition of Minimum Specific Energy Formula

GoArea of Section given Discharge Formula

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Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point. Check FAQs

A cs = {(Q \cdot Q \cdot \frac{T}{[g]})}^{\frac{1}{3}}

A_cs - Cross-Sectional Area of Channel?Q - Discharge of Channel?T - Top Width?[g] - Gravitational acceleration on Earth?

Area of Section Considering Condition of Maximum Discharge Example

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Here is how the Area of Section Considering Condition of Maximum Discharge equation looks like with Values.

Here is how the Area of Section Considering Condition of Maximum Discharge equation looks like with Units.

Here is how the Area of Section Considering Condition of Maximum Discharge equation looks like.

3.4752 = {(14 \cdot 14 \cdot \frac{2.1}{9.8066})}^{\frac{1}{3}}

3.4752m² = {(14m³/s \cdot 14m³/s \cdot \frac{2.1m}{9.8066m/s²})}^{\frac{1}{3}}

3.4752 = {(14 \cdot 14 \cdot \frac{2.1}{9.8066})}^{\frac{1}{3}}

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Area of Section Considering Condition of Maximum Discharge Solution

Follow our step by step solution on how to calculate Area of Section Considering Condition of Maximum Discharge?

FIRST Step Consider the formula

A cs = {(Q \cdot Q \cdot \frac{T}{[g]})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

A cs = {(14m³/s \cdot 14m³/s \cdot \frac{2.1m}{[g]})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

A cs = {(14m³/s \cdot 14m³/s \cdot \frac{2.1m}{9.8066m/s²})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

A cs = {(14 \cdot 14 \cdot \frac{2.1}{9.8066})}^{\frac{1}{3}}

Next Step Evaluate

∴

A cs = 3.47524075625864m²

LAST Step Rounding Answer

∴

A cs = 3.4752m²

Area of Section Considering Condition of Maximum Discharge Formula Elements

Variables

Constants

Cross-Sectional Area of Channel

Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross-Sectional 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

Top Width

Top Width is defined as the width at the top of the section.

Symbol: T

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Top Width

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 Cross-Sectional Area of Channel

Go Area of Section of Open Channel Considering Condition of Minimum Specific Energy

A cs = {(Q \cdot \frac{T}{[g]})}^{\frac{1}{3}}

Go Area of Section given Discharge

A cs = \frac{Q}{\sqrt{2 \cdot [g] \cdot (E total - d f)}}

Other formulas in Specific Energy and Critical Depth category

Go Total Energy per unit Weight of Water in Flow Section

E total = (\frac{{V mean}^{2}}{2 \cdot [g]}) + d f + y

Go Datum Height for Total Energy per unit Weight of Water in Flow Section

y = E total - ((\frac{{V mean}^{2}}{2 \cdot [g]}) + d f)

Go Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section

V mean = \sqrt{(E total - (d f + y)) \cdot 2 \cdot [g]}

Go Depth of Flow given Total Energy per Unit Weight of Water in Flow Section

d f = E total - ((\frac{{V mean}^{2}}{2 \cdot [g]}) + y)

How to Evaluate Area of Section Considering Condition of Maximum Discharge?

Area of Section Considering Condition of Maximum Discharge evaluator uses Cross-Sectional Area of Channel = (Discharge of Channel*Discharge of Channel*Top Width/[g])^(1/3) to evaluate the Cross-Sectional Area of Channel, The Area of Section Considering Condition of Maximum Discharge is defined as the area of sectional flow path in open channel. Cross-Sectional Area of Channel is denoted by A_cs symbol.

How to evaluate Area of Section Considering Condition of Maximum Discharge using this online evaluator? To use this online evaluator for Area of Section Considering Condition of Maximum Discharge, enter Discharge of Channel (Q) & Top Width (T) and hit the calculate button.

FAQs on Area of Section Considering Condition of Maximum Discharge

What is the formula to find Area of Section Considering Condition of Maximum Discharge?

The formula of Area of Section Considering Condition of Maximum Discharge is expressed as Cross-Sectional Area of Channel = (Discharge of Channel*Discharge of Channel*Top Width/[g])^(1/3). Here is an example- 3.475241 = (14*14*2.1/[g])^(1/3).

How to calculate Area of Section Considering Condition of Maximum Discharge?

With Discharge of Channel (Q) & Top Width (T) we can find Area of Section Considering Condition of Maximum Discharge using the formula - Cross-Sectional Area of Channel = (Discharge of Channel*Discharge of Channel*Top Width/[g])^(1/3). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Cross-Sectional Area of Channel?

Here are the different ways to Calculate Cross-Sectional Area of Channel-

Cross-Sectional Area of Channel=(Discharge of Channel*Top Width/[g])^(1/3)
Cross-Sectional Area of Channel=Discharge of Channel/sqrt(2*[g]*(Total Energy-Depth of Flow))

Can the Area of Section Considering Condition of Maximum Discharge be negative?

No, the Area of Section Considering Condition of Maximum Discharge, measured in Area cannot be negative.

Which unit is used to measure Area of Section Considering Condition of Maximum Discharge?

Area of Section Considering Condition of Maximum Discharge 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 Area of Section Considering Condition of Maximum Discharge can be measured.

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Area of Section Considering Condition of Maximum Discharge Formula

​GoArea of Section of Open Channel Considering Condition of Minimum Specific Energy Formula

​GoArea of Section given Discharge Formula

Area of Section Considering Condition of Maximum Discharge Example

Area of Section Considering Condition of Maximum Discharge Solution

Area of Section Considering Condition of Maximum Discharge Formula Elements

Other Formulas to find Cross-Sectional Area of Channel

Other formulas in Specific Energy and Critical Depth category

How to Evaluate Area of Section Considering Condition of Maximum Discharge?

FAQs on Area of Section Considering Condition of Maximum Discharge

Variable Name

GoArea of Section of Open Channel Considering Condition of Minimum Specific Energy Formula

GoArea of Section given Discharge Formula