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

✖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%
✖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%

✖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 given Discharge [E_total]

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Formula

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

Formula

E total = d f + (\frac{{(\frac{Q}{A cs})}^{2}}{2 \cdot [g]})

Example

4.164465 J = 3.3 m + (\frac{{(\frac{14 m³/s}{3.4 m²})}^{2}}{2 \cdot [g]})

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

Depth of Flow: 3.3 Meter --> 3.3 Meter 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

E_total = d_f+(((Q/A_cs)^2)/(2*[g])) --> 3.3+(((14/3.4)^2)/(2*[g]))

Evaluating ... ...

E_total = 4.16446530165949

STEP 3: Convert Result to Output's Unit

4.16446530165949 Joule --> No Conversion Required

FINAL ANSWER

4.16446530165949 ≈ 4.164465 Joule <-- Total Energy

(Calculation completed in 00.004 seconds)

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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

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

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)

Total Energy per unit Weight of Water in Flow Section

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

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

Total Energy = Depth of Flow+(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g]))
E_total = d_f+(((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 Total Energy per unit Weight of Water in Flow Section given Discharge?

Total Energy per unit Weight of Water in Flow Section given Discharge calculator uses Total Energy = Depth of Flow+(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g])) to calculate the Total Energy, The Total Energy per unit Weight of Water in Flow Section given Discharge is defined as the energy posses by liquid flowing in channel. Total Energy is denoted by E_total symbol.

How to calculate Total Energy per unit Weight of Water in Flow Section given Discharge using this online calculator? To use this online calculator for Total Energy per unit Weight of Water in Flow Section given Discharge, enter Depth of Flow (d_f), Discharge of Channel (Q) & Cross-Sectional Area of Channel (A_cs) and hit the calculate button. Here is how the Total Energy per unit Weight of Water in Flow Section given Discharge calculation can be explained with given input values -> 3.344414 = 3.3+(((14/3.4)^2)/(2*[g])).

FAQ

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

The Total Energy per unit Weight of Water in Flow Section given Discharge is defined as the energy posses by liquid flowing in channel and is represented as E_total = d_f+(((Q/A_cs)^2)/(2*[g])) or Total Energy = Depth of Flow+(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g])). 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, 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 Total Energy per unit Weight of Water in Flow Section given Discharge?

The Total Energy per unit Weight of Water in Flow Section given Discharge is defined as the energy posses by liquid flowing in channel is calculated using Total Energy = Depth of Flow+(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g])). To calculate Total Energy per unit Weight of Water in Flow Section given Discharge, you need Depth of Flow (d_f), Discharge of Channel (Q) & Cross-Sectional Area of Channel (A_cs). With our tool, you need to enter the respective value for Depth of Flow, 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 Total Energy?

In this formula, Total Energy uses Depth of Flow, Discharge of Channel & Cross-Sectional Area of Channel. 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 = ((Mean Velocity for Froude Number^2)/(2*[g]))+Depth of Flow

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