Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum 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%
✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity [V_mean]			+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 Total Energy in Flow Section taking Bed Slope as Datum [d_f]

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Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g])))
d_f = E_total-(((V_mean^2)/(2*[g])))
This formula uses 1 Constants, 3 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.
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

STEP 1: Convert Input(s) to Base Unit

Total Energy: 8.6 Joule --> 8.6 Joule No Conversion Required
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_f = E_total-(((V_mean^2)/(2*[g]))) --> 8.6-(((10.1^2)/(2*[g])))

Evaluating ... ...

d_f = 3.39893745570608

STEP 3: Convert Result to Output's Unit

3.39893745570608 Meter --> No Conversion Required

FINAL ANSWER

3.39893745570608 ≈ 3.398937 Meter <-- Depth of Flow

(Calculation completed in 00.020 seconds)

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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 Total Energy in Flow Section taking Bed Slope as Datum Formula

LaTeX Go

Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g])))
d_f = E_total-(((V_mean^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 Total Energy in Flow Section taking Bed Slope as Datum?

Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum calculator uses Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))) to calculate the Depth of Flow, The Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum is defined as the depth of flow in a section can be determined from the total energy using appropriate hydraulic equations. Depth of Flow is denoted by d_f symbol.

How to calculate Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum using this online calculator? To use this online calculator for Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum, enter Total Energy (E_total) & Mean Velocity (V_mean) and hit the calculate button. Here is how the Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum calculation can be explained with given input values -> 3.398937 = 8.6-(((10.1^2)/(2*[g]))).

FAQ

What is Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum?

The Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum is defined as the depth of flow in a section can be determined from the total energy using appropriate hydraulic equations and is represented as d_f = E_total-(((V_mean^2)/(2*[g]))) or Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))). Total Energy is the sum of the kinetic energy and the potential energy of the system under consideration & Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

How to calculate Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum?

The Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum is defined as the depth of flow in a section can be determined from the total energy using appropriate hydraulic equations is calculated using Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))). To calculate Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum, you need Total Energy (E_total) & Mean Velocity (V_mean). With our tool, you need to enter the respective value for Total Energy & Mean Velocity 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 & Mean Velocity. 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-(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g]))

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