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

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

GoMean Velocity of Flow through Section Considering Condition of Minimum Specific Energy Formula

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Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T. Check FAQs

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

V_mean - Mean Velocity?E_total - Total Energy?d_f - Depth of Flow?y - Height above Datum?[g] - Gravitational acceleration on Earth?

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

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Here is how the Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section equation looks like with Values.

Here is how the Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section equation looks like with Units.

Here is how the Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section equation looks like.

10.1571 = \sqrt{(8.6 - (3.3 + 40)) \cdot 2 \cdot 9.8066}

10.1571m/s = \sqrt{(8.6J - (3.3m + 40mm)) \cdot 2 \cdot 9.8066m/s²}

10.1571 = \sqrt{(8.6 - (3.3 + 40)) \cdot 2 \cdot 9.8066}

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Hydraulics and Waterworks » fx 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 Solution

Follow our step by step solution on how to calculate Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

V mean = \sqrt{(8.6J - (3.3m + 40mm)) \cdot 2 \cdot 9.8066m/s²}

Next Step Convert Units

∴

V mean = \sqrt{(8.6J - (3.3m + 0.04m)) \cdot 2 \cdot 9.8066m/s²}

Next Step Prepare to Evaluate

∴

V mean = \sqrt{(8.6 - (3.3 + 0.04)) \cdot 2 \cdot 9.8066}

Next Step Evaluate

∴

V mean = 10.157064438114m/s

LAST Step Rounding Answer

∴

V mean = 10.1571m/s

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

Variables

Constants

Functions

Mean Velocity

Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

Total Energy

Total Energy is the sum of the kinetic energy and the potential energy of the system under consideration.

Symbol: E_total

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Total Energy

Depth of Flow

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.

Symbol: d_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Flow

Height above Datum

Height above datum is the elevation from surface of zero elevation to which heights of various points are referenced.

Symbol: y

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Height above Datum

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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.

Syntax: sqrt(Number)

Other Formulas to find Mean Velocity

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

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

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

V mean = \sqrt{[g] \cdot d section}

Other formulas in Specific Energy and Critical Depth category

Go Total Energy per unit Weight of Water in Flow Section

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

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

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

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

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

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

E total = (\frac{{V FN}^{2}}{2 \cdot [g]}) + d f

How to Evaluate 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 evaluator uses Mean Velocity = sqrt((Total Energy-(Depth of Flow+Height above Datum))*2*[g]) to evaluate 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 evaluate Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section using this online evaluator? To use this online evaluator 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.

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

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

The formula of Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section is expressed as Mean Velocity = sqrt((Total Energy-(Depth of Flow+Height above Datum))*2*[g]). Here is an example- 10.15706 = sqrt((8.6-(3.3+0.04))*2*[g]).

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

With Total Energy (E_total), Depth of Flow (d_f) & Height above Datum (y) we can find Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section using the formula - Mean Velocity = sqrt((Total Energy-(Depth of Flow+Height above Datum))*2*[g]). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Mean Velocity?

Here are the different ways to Calculate Mean Velocity-

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

Can the Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section be negative?

Yes, the Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section, measured in Speed can be negative.

Which unit is used to measure 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 is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section can be measured.

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