FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

GoDepth of Flow given Total Energy per Unit Weight of Water in Flow Section Formula

GoDepth of Flow given Discharge Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

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

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

With values

With units

Only example

Here is how the Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum equation looks like with Values.

Here is how the Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum equation looks like with Units.

Here is how the Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum equation looks like.

3.3989 = 8.6 - ((\frac{{10.1}^{2}}{2 \cdot 9.8066}))

3.3989m = 8.6J - ((\frac{{10.1m/s}^{2}}{2 \cdot 9.8066m/s²}))

3.3989 = 8.6 - ((\frac{{10.1}^{2}}{2 \cdot 9.8066}))

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Hydraulics and Waterworks » fx Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum

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

Follow our step by step solution on how to calculate Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d f = 8.6J - ((\frac{{10.1m/s}^{2}}{2 \cdot [g]}))

Next Step Substitute values of Constants

∴

d f = 8.6J - ((\frac{{10.1m/s}^{2}}{2 \cdot 9.8066m/s²}))

Next Step Prepare to Evaluate

∴

d f = 8.6 - ((\frac{{10.1}^{2}}{2 \cdot 9.8066}))

Next Step Evaluate

∴

d f = 3.39893745570608m

LAST Step Rounding Answer

∴

d f = 3.3989m

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

Variables

Constants

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

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

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

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

Other Formulas to find Depth of Flow

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 Depth of Flow given Discharge

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

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

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

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

Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum evaluator uses Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))) to evaluate the Depth of Flow, The Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum is defined as the depth of flow in a section can be determined from the total energy using appropriate hydraulic equations. Depth of Flow is denoted by d_f symbol.

How to evaluate Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum using this online evaluator? To use this online evaluator for Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum, enter Total Energy (E_total) & Mean Velocity (V_mean) and hit the calculate button.

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

What is the formula to find Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum?

The formula of Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum is expressed as Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))). Here is an example- 3.398937 = 8.6-(((10.1^2)/(2*[g]))).

How to calculate Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum?

With Total Energy (E_total) & Mean Velocity (V_mean) we can find Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum using the formula - Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Depth of Flow?

Here are the different ways to Calculate Depth of Flow-

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

Can the Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum be negative?

No, the Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum, measured in Length cannot be negative.

Which unit is used to measure Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum?

Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!