Depth of Flow given Discharge Calculator

✖Total Energy is the sum of the kinetic energy and the potential energy of the system under consideration.ⓘ Total Energy [E_total]			+10% -10%
✖Discharge of Channel is the rate of flow of a liquid.ⓘ Discharge of Channel [Q]			+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.ⓘ Cross-Sectional Area of Channel [A_cs]			+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 given Discharge [d_f]

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Depth of Flow given Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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.
Total Energy - (Measured in Joule) - Total Energy is the sum of the kinetic energy and the potential energy of the system under consideration.
Discharge of Channel - (Measured in Cubic Meter per Second) - Discharge of Channel is the rate of flow of a liquid.
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.

STEP 1: Convert Input(s) to Base Unit

Total Energy: 8.6 Joule --> 8.6 Joule No Conversion Required
Discharge of Channel: 14 Cubic Meter per Second --> 14 Cubic Meter per Second No Conversion Required
Cross-Sectional Area of Channel: 3.4 Square Meter --> 3.4 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_f = E_total-(((Q/A_cs)^2)/(2*[g])) --> 8.6-(((14/3.4)^2)/(2*[g]))

Evaluating ... ...

d_f = 7.73553469834051

STEP 3: Convert Result to Output's Unit

7.73553469834051 Meter --> No Conversion Required

FINAL ANSWER

7.73553469834051 ≈ 7.735535 Meter <-- Depth of Flow

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

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Meerut Institute of Engineering and Technology (MIET), Meerut

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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

Depth of Flow given Discharge Formula

LaTeX Go

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

What is Depth of Flow?

Normal depth is the depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant. Note: Flow at normal depth in culverts often presents the highest average velocities and shallowest depths at that flow.

How to Calculate Depth of Flow given Discharge?

Depth of Flow given Discharge calculator uses Depth of Flow = Total Energy-(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g])) to calculate the Depth of Flow, The Depth of Flow given Discharge is defined as the amount of fluid in path of channel in open channel flow. Depth of Flow is denoted by d_f symbol.

How to calculate Depth of Flow given Discharge using this online calculator? To use this online calculator for Depth of Flow given Discharge, enter Total Energy (E_total), Discharge of Channel (Q) & Cross-Sectional Area of Channel (A_cs) and hit the calculate button. Here is how the Depth of Flow given Discharge calculation can be explained with given input values -> 8.555586 = 8.6-(((14/3.4)^2)/(2*[g])).

FAQ

What is Depth of Flow given Discharge?

The Depth of Flow given Discharge is defined as the amount of fluid in path of channel in open channel flow and is represented as d_f = E_total-(((Q/A_cs)^2)/(2*[g])) or Depth of Flow = Total Energy-(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g])). Total Energy is the sum of the kinetic energy and the potential energy of the system under consideration, Discharge of Channel is the rate of flow of a liquid & 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.

How to calculate Depth of Flow given Discharge?

The Depth of Flow given Discharge is defined as the amount of fluid in path of channel in open channel flow is calculated using Depth of Flow = Total Energy-(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g])). To calculate Depth of Flow given Discharge, you need Total Energy (E_total), Discharge of Channel (Q) & Cross-Sectional Area of Channel (A_cs). With our tool, you need to enter the respective value for Total Energy, Discharge of Channel & Cross-Sectional Area of 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 Depth of Flow?

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

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

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