Area of Section given Discharge Calculator

✖Discharge of Channel is the rate of flow of a liquid.ⓘ Discharge of Channel [Q]			+10% -10%
✖Total Energy is the sum of the kinetic energy and the potential energy of the system under consideration.ⓘ Total Energy [E_total]			+10% -10%
✖Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.ⓘ Depth of Flow [d_f]			+10% -10%

✖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.ⓘ Area of Section given Discharge [A_cs]

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Area of Section given Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross-Sectional Area of Channel = Discharge of Channel/sqrt(2*[g]*(Total Energy-Depth of Flow))
A_cs = Q/sqrt(2*[g]*(E_total-d_f))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Cross-Sectional Area of Channel - (Measured in Square Meter) - 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.
Discharge of Channel - (Measured in Cubic Meter per Second) - Discharge of Channel is the rate of flow of a liquid.
Total Energy - (Measured in Joule) - Total Energy is the sum of the kinetic energy and the potential energy of the system under consideration.
Depth of Flow - (Measured in Meter) - Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.

STEP 1: Convert Input(s) to Base Unit

Discharge of Channel: 14 Cubic Meter per Second --> 14 Cubic Meter per Second No Conversion Required
Total Energy: 8.6 Joule --> 8.6 Joule No Conversion Required
Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_cs = Q/sqrt(2*[g]*(E_total-d_f)) --> 14/sqrt(2*[g]*(8.6-3.3))

Evaluating ... ...

A_cs = 1.37313983176581

STEP 3: Convert Result to Output's Unit

1.37313983176581 Square Meter --> No Conversion Required

FINAL ANSWER

1.37313983176581 ≈ 1.37314 Square Meter <-- Cross-Sectional Area of Channel

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Specific Energy and Critical Depth Calculators

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

LaTeX Go Mean Velocity = sqrt((Total Energy-(Depth of Flow+Height above Datum))*2*[g])

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

LaTeX Go Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))+Height above Datum)

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

LaTeX Go Height above Datum = Total Energy-(((Mean Velocity^2)/(2*[g]))+Depth of Flow)

Total Energy per unit Weight of Water in Flow Section

LaTeX Go Total Energy = ((Mean Velocity^2)/(2*[g]))+Depth of Flow+Height above Datum

Area of Section given Discharge Formula

LaTeX Go

Cross-Sectional Area of Channel = Discharge of Channel/sqrt(2*[g]*(Total Energy-Depth of Flow))
A_cs = Q/sqrt(2*[g]*(E_total-d_f))

What is Rate of Flow?

In physics and engineering, in particular fluid dynamics, the volumetric flow rate is the volume of fluid which passes per unit time; usually it is represented by the symbol Q. The SI unit is cubic metres per second. Another unit used is standard cubic centimetres per minute. In hydrometry, it is known as discharge.

How to Calculate Area of Section given Discharge?

Area of Section given Discharge calculator uses Cross-Sectional Area of Channel = Discharge of Channel/sqrt(2*[g]*(Total Energy-Depth of Flow)) to calculate the Cross-Sectional Area of Channel, The Area of Section given Discharge is defined as the sectional area of channel at any point in flow. Cross-Sectional Area of Channel is denoted by A_cs symbol.

How to calculate Area of Section given Discharge using this online calculator? To use this online calculator for Area of Section given Discharge, enter Discharge of Channel (Q), Total Energy (E_total) & Depth of Flow (d_f) and hit the calculate button. Here is how the Area of Section given Discharge calculation can be explained with given input values -> 1.37314 = 14/sqrt(2*[g]*(8.6-3.3)).

FAQ

What is Area of Section given Discharge?

The Area of Section given Discharge is defined as the sectional area of channel at any point in flow and is represented as A_cs = Q/sqrt(2*[g]*(E_total-d_f)) or Cross-Sectional Area of Channel = Discharge of Channel/sqrt(2*[g]*(Total Energy-Depth of Flow)). Discharge of Channel is the rate of flow of a liquid, Total Energy is the sum of the kinetic energy and the potential energy of the system under consideration & Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.

How to calculate Area of Section given Discharge?

The Area of Section given Discharge is defined as the sectional area of channel at any point in flow is calculated using Cross-Sectional Area of Channel = Discharge of Channel/sqrt(2*[g]*(Total Energy-Depth of Flow)). To calculate Area of Section given Discharge, you need Discharge of Channel (Q), Total Energy (E_total) & Depth of Flow (d_f). With our tool, you need to enter the respective value for Discharge of Channel, Total Energy & Depth of Flow 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 Cross-Sectional Area of Channel?

In this formula, Cross-Sectional Area of Channel uses Discharge of Channel, Total Energy & Depth of Flow. We can use 2 other way(s) to calculate the same, which is/are as follows -

Cross-Sectional Area of Channel = (Discharge of Channel*Top Width/[g])^(1/3)
Cross-Sectional Area of Channel = (Discharge of Channel*Discharge of Channel*Top Width/[g])^(1/3)

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