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Hydraulic Radius given Flow Velocity Formula

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The Hydraulic Radius refers to 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 f \cdot n c}{C \cdot S^{\frac{1}{2}}})}^{\frac{3}{2}}

r_H - Hydraulic Radius?V_f - Flow Velocity?n_c - Roughness Coefficient of Conduit Surface?C - Conversion Factor?S - Energy Loss?

Hydraulic Radius given Flow Velocity Example

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

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

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

0.3334 = {(\frac{1.12 \cdot 0.017}{0.028 \cdot 2^{\frac{1}{2}}})}^{\frac{3}{2}}

0.3334m = {(\frac{1.12m/s \cdot 0.017}{0.028 \cdot {2J}^{\frac{1}{2}}})}^{\frac{3}{2}}

0.3334 = {(\frac{1.12 \cdot 0.017}{0.028 \cdot 2^{\frac{1}{2}}})}^{\frac{3}{2}}

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Hydraulic Radius given Flow Velocity Solution

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

FIRST Step Consider the formula

r H = {(\frac{V f \cdot n c}{C \cdot S^{\frac{1}{2}}})}^{\frac{3}{2}}

Next Step Substitute values of Variables

∴

r H = {(\frac{1.12m/s \cdot 0.017}{0.028 \cdot {2J}^{\frac{1}{2}}})}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

r H = {(\frac{1.12 \cdot 0.017}{0.028 \cdot 2^{\frac{1}{2}}})}^{\frac{3}{2}}

Next Step Evaluate

∴

r H = 0.333419405120674m

LAST Step Rounding Answer

∴

r H = 0.3334m

Hydraulic Radius given Flow Velocity Formula Elements

Variables

Hydraulic Radius

The Hydraulic Radius refers to 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

Flow Velocity

The Flow Velocity refers to the speed at which a fluid (such as water) moves through a specific cross-section.

Symbol: V_f

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Flow Velocity

Roughness Coefficient of Conduit Surface

The Roughness Coefficient of Conduit Surface refers to the roughness or irregularity of the inner surface of a conduit through which fluid flows.

Symbol: n_c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Roughness Coefficient of Conduit Surface

Conversion Factor

Conversion Factor is a numerical coefficient used to convert one set of units to another.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Conversion Factor

Energy Loss

The Energy Loss refers to the dissipation or reduction of energy within a system or process.

Symbol: S

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Energy Loss

Other formulas in Flow Velocity in Straight Sewers category

Go Flow Velocity using Manning's formula

V f = \frac{C \cdot {r H}^{\frac{2}{3}} \cdot S^{\frac{1}{2}}}{n c}

Go Roughness Coefficient using Flow Velocity

n c = \frac{C \cdot {r H}^{\frac{2}{3}} \cdot S^{\frac{1}{2}}}{V f}

Go Energy Loss given Flow Velocity

S = {(\frac{V f \cdot n c}{C \cdot {r H}^{\frac{2}{3}}})}^{2}

Go Conversion Factor given Flow Velocity

C = (\frac{V f \cdot n c}{(S^{\frac{1}{2}}) \cdot {r H}^{\frac{2}{3}}})

How to Evaluate Hydraulic Radius given Flow Velocity?

Hydraulic Radius given Flow Velocity evaluator uses Hydraulic Radius = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(Conversion Factor*Energy Loss^(1/2)))^(3/2) to evaluate the Hydraulic Radius, The Hydraulic Radius given Flow Velocity is defined as 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 when we have a prior info of the flow velocity. Hydraulic Radius is denoted by r_H symbol.

How to evaluate Hydraulic Radius given Flow Velocity using this online evaluator? To use this online evaluator for Hydraulic Radius given Flow Velocity, enter Flow Velocity (V_f), Roughness Coefficient of Conduit Surface (n_c), Conversion Factor (C) & Energy Loss (S) and hit the calculate button.

FAQs on Hydraulic Radius given Flow Velocity

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

The formula of Hydraulic Radius given Flow Velocity is expressed as Hydraulic Radius = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(Conversion Factor*Energy Loss^(1/2)))^(3/2). Here is an example- 0.000862 = ((1.12*0.017)/(0.028*2^(1/2)))^(3/2).

How to calculate Hydraulic Radius given Flow Velocity?

With Flow Velocity (V_f), Roughness Coefficient of Conduit Surface (n_c), Conversion Factor (C) & Energy Loss (S) we can find Hydraulic Radius given Flow Velocity using the formula - Hydraulic Radius = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(Conversion Factor*Energy Loss^(1/2)))^(3/2).

Can the Hydraulic Radius given Flow Velocity be negative?

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

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

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

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Hydraulic Radius given Flow Velocity Formula

Hydraulic Radius given Flow Velocity Example

Hydraulic Radius given Flow Velocity Solution

Hydraulic Radius given Flow Velocity Formula Elements

Other formulas in Flow Velocity in Straight Sewers category

How to Evaluate Hydraulic Radius given Flow Velocity?

FAQs on Hydraulic Radius given Flow Velocity

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