FormulaDen.com

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

Hydraulic Radius of Culvert given Velocity of Flow Fields Formula

Fx Copy

LaTeX Copy

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. Check FAQs

r h = {(\frac{({(v m \cdot n)}^{2}) \cdot l}{2.21 \cdot (H f - (1 - K e) \cdot (v m \cdot \frac{v m}{2 \cdot [g]}))})}^{0.75}

r_h - Hydraulic Radius of Channel?v_m - Mean Velocity of Culverts?n - Manning’s Roughness Coefficient?l - Length of Culverts?H_f - Head Loss of Friction?K_e - Entrance Loss Coefficient?[g] - Gravitational acceleration on Earth?

Hydraulic Radius of Culvert given Velocity of Flow Fields Example

With values

With units

Only example

Here is how the Hydraulic Radius of Culvert given Velocity of Flow Fields equation looks like with Values.

Here is how the Hydraulic Radius of Culvert given Velocity of Flow Fields equation looks like with Units.

Here is how the Hydraulic Radius of Culvert given Velocity of Flow Fields equation looks like.

0.6085 = {(\frac{({(10 \cdot 0.012)}^{2}) \cdot 3}{2.21 \cdot (0.8027 - (1 - 0.85) \cdot (10 \cdot \frac{10}{2 \cdot 9.8066}))})}^{0.75}

0.6085m = {(\frac{({(10m/s \cdot 0.012)}^{2}) \cdot 3m}{2.21 \cdot (0.8027m - (1 - 0.85) \cdot (10m/s \cdot \frac{10m/s}{2 \cdot 9.8066m/s²}))})}^{0.75}

0.6085 = {(\frac{({(10 \cdot 0.012)}^{2}) \cdot 3}{2.21 \cdot (0.8027 - (1 - 0.85) \cdot (10 \cdot \frac{10}{2 \cdot 9.8066}))})}^{0.75}

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 Hydraulic Radius of Culvert given Velocity of Flow Fields

Hydraulic Radius of Culvert given Velocity of Flow Fields Solution

Follow our step by step solution on how to calculate Hydraulic Radius of Culvert given Velocity of Flow Fields?

FIRST Step Consider the formula

r h = {(\frac{({(v m \cdot n)}^{2}) \cdot l}{2.21 \cdot (H f - (1 - K e) \cdot (v m \cdot \frac{v m}{2 \cdot [g]}))})}^{0.75}

Next Step Substitute values of Variables

∴

r h = {(\frac{({(10m/s \cdot 0.012)}^{2}) \cdot 3m}{2.21 \cdot (0.8027m - (1 - 0.85) \cdot (10m/s \cdot \frac{10m/s}{2 \cdot [g]}))})}^{0.75}

Next Step Substitute values of Constants

∴

r h = {(\frac{({(10m/s \cdot 0.012)}^{2}) \cdot 3m}{2.21 \cdot (0.8027m - (1 - 0.85) \cdot (10m/s \cdot \frac{10m/s}{2 \cdot 9.8066m/s²}))})}^{0.75}

Next Step Prepare to Evaluate

∴

r h = {(\frac{({(10 \cdot 0.012)}^{2}) \cdot 3}{2.21 \cdot (0.8027 - (1 - 0.85) \cdot (10 \cdot \frac{10}{2 \cdot 9.8066}))})}^{0.75}

Next Step Evaluate

∴

r h = 0.608455560024404m

LAST Step Rounding Answer

∴

r h = 0.6085m

Hydraulic Radius of Culvert given Velocity of Flow Fields Formula Elements

Variables

Constants

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 can be positive or negative.

Formulas to find Hydraulic Radius of Channel

Mean Velocity of Culverts

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

Symbol: v_m

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity of Culverts

Manning’s Roughness Coefficient

Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Manning’s Roughness Coefficient

Length of Culverts

Length of Culverts is the measurement or extent of culverts from end to end.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Culverts

Head Loss of Friction

Head Loss of Friction is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.

Symbol: H_f

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head Loss of Friction

Entrance Loss Coefficient

Entrance Loss Coefficient is defined as the amount of head lost at entrance.

Symbol: K_e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Entrance Loss Coefficient

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 in Entrance and Exit Submerged category

Go Head Loss in Flow

H f = (1 - K e) \cdot (v m \cdot \frac{v m}{2 \cdot [g]}) + \frac{({(v m \cdot n)}^{2}) \cdot l}{2.21 \cdot {r h}^{1.33333}}

Go Velocity of Flow Fields

v m = \sqrt{\frac{H f}{\frac{1 - K e}{(2 \cdot [g])} + \frac{({(n)}^{2}) \cdot l}{2.21 \cdot {r h}^{1.33333}}}}

Go Entrance Loss Coefficient given Velocity of Flow Fields

K e = 1 - (\frac{H f - \frac{({(v m \cdot n)}^{2}) \cdot l}{2.21 \cdot {r h}^{1.33333}}}{v m \cdot \frac{v m}{2 \cdot [g]}})

Go Length of Culvert given Velocity of Flow Fields

l = \frac{H f - (1 - K e) \cdot (v m \cdot \frac{v m}{2 \cdot [g]})}{\frac{({(v m \cdot n)}^{2})}{2.21 \cdot {r h}^{1.33333}}}

How to Evaluate Hydraulic Radius of Culvert given Velocity of Flow Fields?

Hydraulic Radius of Culvert given Velocity of Flow Fields evaluator uses Hydraulic Radius of Channel = ((((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*(Head Loss of Friction-(1-Entrance Loss Coefficient)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g])))))^0.75 to evaluate the Hydraulic Radius of Channel, Hydraulic Radius of Culvert given Velocity of Flow Fields is defined as ratio of wetted area to wetted perimeter. Hydraulic Radius of Channel is denoted by r_h symbol.

How to evaluate Hydraulic Radius of Culvert given Velocity of Flow Fields using this online evaluator? To use this online evaluator for Hydraulic Radius of Culvert given Velocity of Flow Fields, enter Mean Velocity of Culverts (v_m), Manning’s Roughness Coefficient (n), Length of Culverts (l), Head Loss of Friction (H_f) & Entrance Loss Coefficient (K_e) and hit the calculate button.

FAQs on Hydraulic Radius of Culvert given Velocity of Flow Fields

What is the formula to find Hydraulic Radius of Culvert given Velocity of Flow Fields?

The formula of Hydraulic Radius of Culvert given Velocity of Flow Fields is expressed as Hydraulic Radius of Channel = ((((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*(Head Loss of Friction-(1-Entrance Loss Coefficient)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g])))))^0.75. Here is an example- 0.608456 = ((((10*0.012)^2)*3)/(2.21*(0.8027-(1-0.85)*(10*10/(2*[g])))))^0.75.

How to calculate Hydraulic Radius of Culvert given Velocity of Flow Fields?

With Mean Velocity of Culverts (v_m), Manning’s Roughness Coefficient (n), Length of Culverts (l), Head Loss of Friction (H_f) & Entrance Loss Coefficient (K_e) we can find Hydraulic Radius of Culvert given Velocity of Flow Fields using the formula - Hydraulic Radius of Channel = ((((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*(Head Loss of Friction-(1-Entrance Loss Coefficient)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g])))))^0.75. This formula also uses Gravitational acceleration on Earth constant(s).

Can the Hydraulic Radius of Culvert given Velocity of Flow Fields be negative?

Yes, the Hydraulic Radius of Culvert given Velocity of Flow Fields, measured in Length can be negative.

Which unit is used to measure Hydraulic Radius of Culvert given Velocity of Flow Fields?

Hydraulic Radius of Culvert given Velocity of Flow Fields is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Hydraulic Radius of Culvert given Velocity of Flow Fields can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Hydraulic Radius of Culvert given Velocity of Flow Fields Formula

Hydraulic Radius of Culvert given Velocity of Flow Fields Example

Hydraulic Radius of Culvert given Velocity of Flow Fields Solution

Hydraulic Radius of Culvert given Velocity of Flow Fields Formula Elements

Other formulas in Entrance and Exit Submerged category

How to Evaluate Hydraulic Radius of Culvert given Velocity of Flow Fields?

FAQs on Hydraulic Radius of Culvert given Velocity of Flow Fields

Variable Name