Mean Velocity of Flow 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%
✖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.ⓘ Height above Datum [y]			+10% -10%

✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section [V_mean]

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

Formula

V mean = \sqrt{(E total - (d f + y)) \cdot 2 \cdot [g]}

Example

10.15706 m/s = \sqrt{(8.6 J - (3.3 m + 40 mm)) \cdot 2 \cdot [g]}

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Total Energy: 8.6 Joule --> 8.6 Joule No Conversion Required
Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required
Height above Datum: 40 Millimeter --> 0.04 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_mean = sqrt((E_total-(d_f+y))*2*[g]) --> sqrt((8.6-(3.3+0.04))*2*[g])

Evaluating ... ...

V_mean = 10.157064438114

STEP 3: Convert Result to Output's Unit

10.157064438114 Meter per Second --> No Conversion Required

FINAL ANSWER

10.157064438114 ≈ 10.15706 Meter per Second <-- Mean Velocity

(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

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

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

What is Average Velocity?

The average velocity of an object is its total displacement divided by the total time taken. In other words, it is the rate at which an object changes its position from one place to another. Average velocity is a vector quantity.

How to Calculate Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section?

Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section calculator uses Mean Velocity = sqrt((Total Energy-(Depth of Flow+Height above Datum))*2*[g]) to calculate the Mean Velocity, The Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section is defined as the average velocity in pipe or channel at all point in direction of flow. Mean Velocity is denoted by V_mean symbol.

How to calculate Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section using this online calculator? To use this online calculator for Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section, enter Total Energy (E_total), Depth of Flow (d_f) & Height above Datum (y) and hit the calculate button. Here is how the Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section calculation can be explained with given input values -> 10.15706 = sqrt((8.6-(3.3+0.04))*2*[g]).

FAQ

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

The Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section is defined as the average velocity in pipe or channel at all point in direction of flow and is represented as V_mean = sqrt((E_total-(d_f+y))*2*[g]) or Mean Velocity = sqrt((Total Energy-(Depth of Flow+Height above Datum))*2*[g]). Total Energy is the sum of the kinetic energy and the potential energy of the system under consideration, 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 & Height above datum is the elevation from surface of zero elevation to which heights of various points are referenced.

How to calculate Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section?

The Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section is defined as the average velocity in pipe or channel at all point in direction of flow is calculated using Mean Velocity = sqrt((Total Energy-(Depth of Flow+Height above Datum))*2*[g]). To calculate Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section, you need Total Energy (E_total), Depth of Flow (d_f) & Height above Datum (y). With our tool, you need to enter the respective value for Total Energy, Depth of Flow & Height above Datum 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 Mean Velocity?

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

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

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