FormulaDen.com

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

Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels Formula

Fx Copy

LaTeX Copy

Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates. Check FAQs

R a = \frac{R H}{10^{\frac{(\frac{V avg(Tur)}{V shear}) - 6.25}{5.75}}}

R_a - Roughness Value?R_H - Hydraulic Radius of Channel?V_avg(Tur) - Average Velocity of Turbulent flow?V_shear - Shear Velocity?

Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels Example

With values

With units

Only example

Here is how the Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels equation looks like with Values.

Here is how the Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels equation looks like with Units.

Here is how the Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels equation looks like.

0.0009 = \frac{1.6}{10^{\frac{(\frac{380}{9}) - 6.25}{5.75}}}

0.0009mm = \frac{1.6m}{10^{\frac{(\frac{380m/s}{9m/s}) - 6.25}{5.75}}}

0.0009 = \frac{1.6}{10^{\frac{(\frac{380}{9}) - 6.25}{5.75}}}

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 Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels

Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels Solution

Follow our step by step solution on how to calculate Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels?

FIRST Step Consider the formula

R a = \frac{R H}{10^{\frac{(\frac{V avg(Tur)}{V shear}) - 6.25}{5.75}}}

Next Step Substitute values of Variables

∴

R a = \frac{1.6m}{10^{\frac{(\frac{380m/s}{9m/s}) - 6.25}{5.75}}}

Next Step Prepare to Evaluate

∴

R a = \frac{1.6}{10^{\frac{(\frac{380}{9}) - 6.25}{5.75}}}

Next Step Evaluate

∴

R a = 8.87322175487257E-07m

Next Step Convert to Output's Unit

∴

R a = 0.000887322175487257mm

LAST Step Rounding Answer

∴

R a = 0.0009mm

Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels Formula Elements

Variables

Roughness Value

Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.

Symbol: R_a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Roughness Value

Hydraulic Radius of Channel

Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.

Symbol: R_H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hydraulic Radius of Channel

Average Velocity of Turbulent flow

Average Velocity of Turbulent flow is defined as the mean of all different velocities.

Symbol: V_avg(Tur)

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Average Velocity of Turbulent flow

Shear Velocity

The Shear Velocity refers to the measure of the shear stress exerted by the fluid flow on the boundary, such as the bed of a river or the walls of a pipe.

Symbol: V_shear

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Shear Velocity

Other formulas in Uniform Turbulent Flow category

Go Mean Velocity of flow in Smooth Channels

V avg(Tur) = V shear \cdot (3.25 + 5.75 \cdot \log 10 (R H \cdot \frac{V shear}{ν Tur}))

Go Mean Velocity of flow in Rough Channels

V avg(Tur) = V shear \cdot (6.25 + 5.75 \cdot \log 10 (\frac{R H}{R a}))

Go Hydraulic Radius given Mean Velocity of flow in Smooth Channels

R H = (10^{\frac{(\frac{V avg(Tur)}{V shear}) - 3.25}{5.75}}) \cdot (\frac{ν Tur}{V shear})

Go Kinematic Viscosity given Mean Velocity of flow in Smooth Channels

ν Tur = \frac{R H \cdot V shear}{10^{\frac{(\frac{V avg(Tur)}{V shear}) - 3.25}{5.75}}}

How to Evaluate Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels?

Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels evaluator uses Roughness Value = Hydraulic Radius of Channel/(10^(((Average Velocity of Turbulent flow/Shear Velocity)-6.25)/5.75)) to evaluate the Roughness Value, The Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels is defined as roughness value of channel. Roughness Value is denoted by R_a symbol.

How to evaluate Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels using this online evaluator? To use this online evaluator for Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels, enter Hydraulic Radius of Channel (R_H), Average Velocity of Turbulent flow (V_avg(Tur)) & Shear Velocity (V_shear) and hit the calculate button.

FAQs on Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels

What is the formula to find Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels?

The formula of Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels is expressed as Roughness Value = Hydraulic Radius of Channel/(10^(((Average Velocity of Turbulent flow/Shear Velocity)-6.25)/5.75)). Here is an example- 0.887322 = 1.6/(10^(((380/9)-6.25)/5.75)).

How to calculate Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels?

With Hydraulic Radius of Channel (R_H), Average Velocity of Turbulent flow (V_avg(Tur)) & Shear Velocity (V_shear) we can find Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels using the formula - Roughness Value = Hydraulic Radius of Channel/(10^(((Average Velocity of Turbulent flow/Shear Velocity)-6.25)/5.75)).

Can the Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels be negative?

No, the Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels, measured in Length cannot be negative.

Which unit is used to measure Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels?

Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels Formula

Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels Example

Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels Solution

Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels Formula Elements

Other formulas in Uniform Turbulent Flow category

How to Evaluate Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels?

FAQs on Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels

Variable Name