Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum Calculator

✖Mean Velocity for Froude Number is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity for Froude Number [V_FN]			+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%

✖Total Energy is the sum of the kinetic energy and the potential energy of the system under consideration.ⓘ Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum [E_total]

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Formula

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Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum

Formula

`"E"_{"total"} = (("V"_{"FN"}^2)/(2*"[g]"))+"d"_{"f"}`

Example

`"253.1305J"=((("70m/s")^2)/(2*"[g]"))+"3.3m"`

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Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Energy = ((Mean Velocity for Froude Number^2)/(2*[g]))+Depth of Flow
E_total = ((V_FN^2)/(2*[g]))+d_f
This formula uses 1 Constants, 3 Variables

Constants Used

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

Variables Used

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 for Froude Number - (Measured in Meter per Second) - Mean Velocity for Froude Number is defined as the average velocity of a fluid at a point and over an arbitrary time T.
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

Mean Velocity for Froude Number: 70 Meter per Second --> 70 Meter per Second No Conversion Required
Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_total = ((V_FN^2)/(2*[g]))+d_f --> ((70^2)/(2*[g]))+3.3

Evaluating ... ...

E_total = 253.130472179592

STEP 3: Convert Result to Output's Unit

253.130472179592 Joule --> No Conversion Required

FINAL ANSWER

253.130472179592 ≈ 253.1305 Joule <-- Total Energy

(Calculation completed in 00.004 seconds)

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< 23 Specific Energy and Critical Depth Calculators

Discharge through Area

Go Discharge of Channel = sqrt(2*[g]*Cross-Sectional Area of Channel^2*(Total Energy-Depth of Flow))

Area of Section given Discharge

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

Volume of Liquid Considering Condition of Maximum Discharge

Go Volume of Water = sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)*Time Interval

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

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

Total Energy per unit Weight of Water in Flow Section given Discharge

Go Total Energy = Depth of Flow+(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g]))

Area of Section Considering Condition of Maximum Discharge

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

Depth of Flow given Discharge

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

Discharge through Section Considering Condition of Minimum Specific Energy

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

Discharge through Section Considering Condition of Maximum Discharge

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

Top Width of Section Considering Condition of Maximum Discharge

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

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

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

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

Mean Velocity of Flow given Froude Number

Go Mean Velocity for Froude Number = Froude Number*sqrt(Diameter of Section*[g])

Froude Number given Velocity

Go Froude Number = Mean Velocity for Froude Number/sqrt([g]*Diameter of Section)

Total Energy per unit Weight of Water in Flow Section

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

Mean Velocity of flow given Total Energy in flow section taking Bed Slope as Datum

Go Mean Velocity = sqrt((Total Energy-(Depth of Flow))*2*[g])

Diameter of Section given Froude Number

Go Diameter of Section = ((Mean Velocity for Froude Number/Froude Number)^2)/[g]

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

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

Top Width of Section through Section Considering Condition of Minimum Specific Energy

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

Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum

Go Total Energy = ((Mean Velocity for Froude Number^2)/(2*[g]))+Depth of Flow

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

Go Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g])))

Mean Velocity of Flow through Section Considering Condition of Minimum Specific Energy

Go Mean Velocity = sqrt([g]*Diameter of Section)

Diameter of Section through Section Considering Condition of Minimum Specific Energy

Go Diameter of Section = (Mean Velocity^2)/[g]

Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum Formula

Total Energy = ((Mean Velocity for Froude Number^2)/(2*[g]))+Depth of Flow
E_total = ((V_FN^2)/(2*[g]))+d_f

What is Specific Energy in Channel?

In open channel flow, specific energy ( e ) is the energy length, or head, relative to the channel bottom. It is also the fundamental relationship used in the standard step method to calculate how the depth of a flow changes over a reach from the energy gained or lost due to the slope of the channel.

How to Calculate Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum?

Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum calculator uses Total Energy = ((Mean Velocity for Froude Number^2)/(2*[g]))+Depth of Flow to calculate the Total Energy, The Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum is defined as the sum of kinetic and potential energy stored in flowing water in channel. Total Energy is denoted by E_total symbol.

How to calculate Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum using this online calculator? To use this online calculator for Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum, enter Mean Velocity for Froude Number (V_FN) & Depth of Flow (d_f) and hit the calculate button. Here is how the Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum calculation can be explained with given input values -> 130.7645 = ((70^2)/(2*[g]))+3.3.

FAQ

What is Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum?

The Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum is defined as the sum of kinetic and potential energy stored in flowing water in channel and is represented as E_total = ((V_FN^2)/(2*[g]))+d_f or Total Energy = ((Mean Velocity for Froude Number^2)/(2*[g]))+Depth of Flow. Mean Velocity for Froude Number is defined as the average velocity of a fluid at a point and over an arbitrary time T & 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 Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum?

The Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum is defined as the sum of kinetic and potential energy stored in flowing water in channel is calculated using Total Energy = ((Mean Velocity for Froude Number^2)/(2*[g]))+Depth of Flow. To calculate Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum, you need Mean Velocity for Froude Number (V_FN) & Depth of Flow (d_f). With our tool, you need to enter the respective value for Mean Velocity for Froude Number & 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 Total Energy?

In this formula, Total Energy uses Mean Velocity for Froude Number & Depth of Flow. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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