Datum Height for Total Energy per unit Weight of Water in Flow Section 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 [d_f]			+10% -10%

✖Height above datum is the elevation from surface of zero elevation to which heights of various points are referenced.ⓘ Datum Height for Total Energy per unit Weight of Water in Flow Section [y]

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Formula

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

Formula

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

Example

`"98.93746mm"="8.6J"-(((("10.1m/s")^2)/(2*"[g]"))+"3.3m")`

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Download Specific Energy and Critical Depth Formulas PDF

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

STEP 0: Pre-Calculation Summary

Formula Used

Height above Datum = Total Energy-(((Mean Velocity^2)/(2*[g]))+Depth of Flow)
y = E_total-(((V_mean^2)/(2*[g]))+d_f)
This formula uses 1 Constants, 4 Variables

Constants Used

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

Variables Used

Height above Datum - (Measured in Meter) - Height above datum is the elevation from surface of zero elevation to which heights of various points are referenced.
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.
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

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
Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y = E_total-(((V_mean^2)/(2*[g]))+d_f) --> 8.6-(((10.1^2)/(2*[g]))+3.3)

Evaluating ... ...

y = 0.0989374557060767

STEP 3: Convert Result to Output's Unit

0.0989374557060767 Meter -->98.9374557060767 Millimeter (Check conversion here)

FINAL ANSWER

98.9374557060767 ≈ 98.93746 Millimeter <-- Height above Datum

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Flow in Open Channels » Specific Energy and Critical Depth » Datum Height for Total Energy per unit Weight of Water in Flow Section

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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]

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

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

What is Datum Head?

A vertical datum, altimetric datum, or height datum is a reference surface for vertical positions, such as the elevations of Earth features including terrain, bathymetry, water level, and man-made structures.

How to Calculate Datum Height for Total Energy per unit Weight of Water in Flow Section?

Datum Height for Total Energy per unit Weight of Water in Flow Section calculator uses Height above Datum = Total Energy-(((Mean Velocity^2)/(2*[g]))+Depth of Flow) to calculate the Height above Datum, The Datum Height for Total Energy per unit Weight of Water in Flow Section is defined as elevation of bed slope with respect to ground level. Height above Datum is denoted by y symbol.

How to calculate Datum Height for Total Energy per unit Weight of Water in Flow Section using this online calculator? To use this online calculator for Datum Height for Total Energy per unit Weight of Water in Flow Section, enter Total Energy (E_total), Mean Velocity (V_mean) & Depth of Flow (d_f) and hit the calculate button. Here is how the Datum Height for Total Energy per unit Weight of Water in Flow Section calculation can be explained with given input values -> 98937.46 = 8.6-(((10.1^2)/(2*[g]))+3.3).

FAQ

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

The Datum Height for Total Energy per unit Weight of Water in Flow Section is defined as elevation of bed slope with respect to ground level and is represented as y = E_total-(((V_mean^2)/(2*[g]))+d_f) or Height above Datum = Total Energy-(((Mean Velocity^2)/(2*[g]))+Depth of Flow). 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 & 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 Datum Height for Total Energy per unit Weight of Water in Flow Section?

The Datum Height for Total Energy per unit Weight of Water in Flow Section is defined as elevation of bed slope with respect to ground level is calculated using Height above Datum = Total Energy-(((Mean Velocity^2)/(2*[g]))+Depth of Flow). To calculate Datum Height for Total Energy per unit Weight of Water in Flow Section, you need Total Energy (E_total), Mean Velocity (V_mean) & Depth of Flow (d_f). With our tool, you need to enter the respective value for Total Energy, Mean Velocity & Depth of Flow and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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