Velocity Distribution in Rough Turbulent Flow Calculator

✖Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity.ⓘ Shear Velocity [v_shear]			+10% -10%
✖Height above Bed is the elevation from surface of zero elevation to which heights of various points are referenced.ⓘ Height above Bed [y]			+10% -10%
✖Equivalent Sand-Grain Roughness is an empirical model initiated for predicting skin friction and heat transfer for turbulent flows over rough surfaces.ⓘ Equivalent Sand-Grain Roughness [k_s]			+10% -10%

✖Average Velocity in Vertical is the rate at which the water flows in any stream or water body.ⓘ Velocity Distribution in Rough Turbulent Flow [v]

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Formula

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Velocity Distribution in Rough Turbulent Flow

Formula

`"v" = 5.75*"v"_{"shear"}*log10(30*"y"/"k"_{"s"})`

Example

`"20.77107m/s"=5.75*"6m/s"*log10(30*"2m"/"15")`

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Velocity Distribution in Rough Turbulent Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Velocity in Vertical = 5.75*Shear Velocity*log10(30*Height above Bed/Equivalent Sand-Grain Roughness)
v = 5.75*v_shear*log10(30*y/k_s)
This formula uses 1 Functions, 4 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

Average Velocity in Vertical - (Measured in Meter per Second) - Average Velocity in Vertical is the rate at which the water flows in any stream or water body.
Shear Velocity - (Measured in Meter per Second) - Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity.
Height above Bed - (Measured in Meter) - Height above Bed is the elevation from surface of zero elevation to which heights of various points are referenced.
Equivalent Sand-Grain Roughness - Equivalent Sand-Grain Roughness is an empirical model initiated for predicting skin friction and heat transfer for turbulent flows over rough surfaces.

STEP 1: Convert Input(s) to Base Unit

Shear Velocity: 6 Meter per Second --> 6 Meter per Second No Conversion Required
Height above Bed: 2 Meter --> 2 Meter No Conversion Required
Equivalent Sand-Grain Roughness: 15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v = 5.75*v_shear*log10(30*y/k_s) --> 5.75*6*log10(30*2/15)

Evaluating ... ...

v = 20.7710697008147

STEP 3: Convert Result to Output's Unit

20.7710697008147 Meter per Second --> No Conversion Required

FINAL ANSWER

20.7710697008147 ≈ 20.77107 Meter per Second <-- Average Velocity in Vertical

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Area-Velocity and Ultrasonic Method of Streamflow Measurement » Measurement of Velocity » Velocity Distribution in Rough Turbulent Flow

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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Indian Institute of Information Technology (IIIT), Bhopal

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< 12 Measurement of Velocity Calculators

Velocity Distribution in Rough Turbulent Flow

Go Average Velocity in Vertical = 5.75*Shear Velocity*log10(30*Height above Bed/Equivalent Sand-Grain Roughness)

Revolutions per Second of Horizontal Axis Meter given Stream Velocity

Go Revolutions per Second of Meter = (Average Velocity in Vertical-Constant b)/Constant a

Stream Velocity at Instrument Location

Go Average Velocity in Vertical = Constant a*Revolutions per Second of Meter+Constant b

Average Velocity in Moderately Deep Streams

Go Average Velocity in Vertical = (Velocity at 0.2 Times Depth of Flow+Velocity at 0.8 Times Depth of Flow)/2

Depth of Flow at Vertical given Sounding Weights

Go Depth of Flow in Vertical = Minimum Weight/(50*Average Velocity in Vertical)

Average Stream Velocity given Minimum Weight

Go Average Velocity in Vertical = Minimum Weight/(50*Depth of Flow in Vertical)

Sounding Weights

Go Minimum Weight = 50*Average Velocity in Vertical*Depth of Flow in Vertical

Average Velocity obtained by using Reduction Factor

Go Average Velocity in Vertical = Reduction Factor*Surface Velocity of River

Surface Velocity given Average of Velocity

Go Surface Velocity of River = Average Velocity in Vertical/Reduction Factor

Time of Distance Travelled given Surface Velocity

Go Time Taken to Travel = Distance Travelled/Surface Velocity of River

Distance Travelled given Surface Velocity

Go Distance Travelled = Surface Velocity of River*Time Taken to Travel

Surface Velocity

Go Surface Velocity of River = Distance Travelled/Time Taken to Travel

Velocity Distribution in Rough Turbulent Flow Formula

Average Velocity in Vertical = 5.75*Shear Velocity*log10(30*Height above Bed/Equivalent Sand-Grain Roughness)
v = 5.75*v_shear*log10(30*y/k_s)

What is Shear Velocity?

Shear Velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity. It is useful as a method in fluid mechanics to compare true velocities, such as the velocity of a flow in a stream, to a velocity that relates shear between layers of flow.

What is Stream Velocity?

Stream Velocity is important because of its impact on water quality and the living organisms and habitats in the stream. Stream Velocity increases as the volume of the water in the stream increases, determining the kinds of organisms that can live in the stream (some need fast-flowing areas; others need quiet pools).

How to Calculate Velocity Distribution in Rough Turbulent Flow?

Velocity Distribution in Rough Turbulent Flow calculator uses Average Velocity in Vertical = 5.75*Shear Velocity*log10(30*Height above Bed/Equivalent Sand-Grain Roughness) to calculate the Average Velocity in Vertical, The Velocity Distribution in Rough Turbulent Flow formula is defined as the function that describes how molecular velocities are distributed on average in a rough, turbulent flow. Average Velocity in Vertical is denoted by v symbol.

How to calculate Velocity Distribution in Rough Turbulent Flow using this online calculator? To use this online calculator for Velocity Distribution in Rough Turbulent Flow, enter Shear Velocity (v_shear), Height above Bed (y) & Equivalent Sand-Grain Roughness (k_s) and hit the calculate button. Here is how the Velocity Distribution in Rough Turbulent Flow calculation can be explained with given input values -> 20.77107 = 5.75*6*log10(30*2/15).

FAQ

What is Velocity Distribution in Rough Turbulent Flow?

The Velocity Distribution in Rough Turbulent Flow formula is defined as the function that describes how molecular velocities are distributed on average in a rough, turbulent flow and is represented as v = 5.75*v_shear*log10(30*y/k_s) or Average Velocity in Vertical = 5.75*Shear Velocity*log10(30*Height above Bed/Equivalent Sand-Grain Roughness). Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity, Height above Bed is the elevation from surface of zero elevation to which heights of various points are referenced & Equivalent Sand-Grain Roughness is an empirical model initiated for predicting skin friction and heat transfer for turbulent flows over rough surfaces.

How to calculate Velocity Distribution in Rough Turbulent Flow?

The Velocity Distribution in Rough Turbulent Flow formula is defined as the function that describes how molecular velocities are distributed on average in a rough, turbulent flow is calculated using Average Velocity in Vertical = 5.75*Shear Velocity*log10(30*Height above Bed/Equivalent Sand-Grain Roughness). To calculate Velocity Distribution in Rough Turbulent Flow, you need Shear Velocity (v_shear), Height above Bed (y) & Equivalent Sand-Grain Roughness (k_s). With our tool, you need to enter the respective value for Shear Velocity, Height above Bed & Equivalent Sand-Grain Roughness 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 Average Velocity in Vertical?

In this formula, Average Velocity in Vertical uses Shear Velocity, Height above Bed & Equivalent Sand-Grain Roughness. We can use 4 other way(s) to calculate the same, which is/are as follows -

Average Velocity in Vertical = Constant a*Revolutions per Second of Meter+Constant b
Average Velocity in Vertical = (Velocity at 0.2 Times Depth of Flow+Velocity at 0.8 Times Depth of Flow)/2
Average Velocity in Vertical = Reduction Factor*Surface Velocity of River
Average Velocity in Vertical = Minimum Weight/(50*Depth of Flow in Vertical)

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