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Radius of Elemental Section of Pipe given Flow Velocity of Stream Formula

GoRadius of Elemental Section of Pipe given Shear Stress Formula

GoRadius of Elemental Section of Pipe given Velocity Gradient with Shear Stress Formula

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The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system. Check FAQs

d radial = \sqrt{({R inclined}^{2}) + \frac{v}{(\frac{γ f}{4 \cdot μ}) \cdot dh /dx}}

d_radial - Radial Distance?R_inclined - Inclined Pipes Radius?v - Velocity of Liquid?γ_f - Specific Weight of Liquid?μ - Dynamic Viscosity?dh_/dx - Piezometric Gradient?

Radius of Elemental Section of Pipe given Flow Velocity of Stream Example

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Here is how the Radius of Elemental Section of Pipe given Flow Velocity of Stream equation looks like with Values.

Here is how the Radius of Elemental Section of Pipe given Flow Velocity of Stream equation looks like with Units.

Here is how the Radius of Elemental Section of Pipe given Flow Velocity of Stream equation looks like.

10.5001 = \sqrt{({10.5}^{2}) + \frac{61.57}{(\frac{9.81}{4 \cdot 10.2}) \cdot 10}}

10.5001m = \sqrt{({10.5m}^{2}) + \frac{61.57m/s}{(\frac{9.81kN/m³}{4 \cdot 10.2P}) \cdot 10}}

10.5001 = \sqrt{({10.5}^{2}) + \frac{61.57}{(\frac{9.81}{4 \cdot 10.2}) \cdot 10}}

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Radius of Elemental Section of Pipe given Flow Velocity of Stream Solution

Follow our step by step solution on how to calculate Radius of Elemental Section of Pipe given Flow Velocity of Stream?

FIRST Step Consider the formula

d radial = \sqrt{({R inclined}^{2}) + \frac{v}{(\frac{γ f}{4 \cdot μ}) \cdot dh /dx}}

Next Step Substitute values of Variables

∴

d radial = \sqrt{({10.5m}^{2}) + \frac{61.57m/s}{(\frac{9.81kN/m³}{4 \cdot 10.2P}) \cdot 10}}

Next Step Convert Units

∴

d radial = \sqrt{({10.5m}^{2}) + \frac{61.57m/s}{(\frac{9810N/m³}{4 \cdot 1.02Pa*s}) \cdot 10}}

Next Step Prepare to Evaluate

∴

d radial = \sqrt{({10.5}^{2}) + \frac{61.57}{(\frac{9810}{4 \cdot 1.02}) \cdot 10}}

Next Step Evaluate

∴

d radial = 10.5001219378386m

LAST Step Rounding Answer

∴

d radial = 10.5001m

Radius of Elemental Section of Pipe given Flow Velocity of Stream Formula Elements

Variables

Functions

Radial Distance

The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.

Symbol: d_radial

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial Distance

Inclined Pipes Radius

The Inclined Pipes Radius refers to the distance from the center of the pipe’s cross-section to its inner wall.

Symbol: R_inclined

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inclined Pipes Radius

Velocity of Liquid

The Velocity of Liquid refers to the speed at which the fluid moves through a pipe or channel.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Liquid

Specific Weight of Liquid

The Specific Weight of Liquid refers to the weight per unit volume of that substance.

Symbol: γ_f

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Specific Weight of Liquid

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Piezometric Gradient

The Piezometric Gradient refers to the measure of the change in hydraulic head (or piezometric head) per unit distance in a given direction within a fluid system.

Symbol: dh_/dx

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Piezometric Gradient

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Radial Distance

Go Radius of Elemental Section of Pipe given Shear Stress

d radial = \frac{2 \cdot 𝜏}{γ f \cdot dh /dx}

Go Radius of Elemental Section of Pipe given Velocity Gradient with Shear Stress

d radial = \frac{2 \cdot V G \cdot μ}{dh /dx \cdot γ f}

Other formulas in Laminar Flow Through Inclined Pipes category

Go Shear Stresses

𝜏 = γ f \cdot dh /dx \cdot \frac{d radial}{2}

Go Specific Weight of Fluid given Shear Stress

γ f = \frac{2 \cdot 𝜏}{d radial \cdot dh /dx}

Go Piezometric Gradient given Shear Stress

dh /dx = \frac{2 \cdot 𝜏}{γ f \cdot d radial}

Go Velocity Gradient given Piezometric Gradient with Shear Stress

V G = (\frac{γ f}{μ}) \cdot dh /dx \cdot 0.5 \cdot d radial

How to Evaluate Radius of Elemental Section of Pipe given Flow Velocity of Stream?

Radius of Elemental Section of Pipe given Flow Velocity of Stream evaluator uses Radial Distance = sqrt((Inclined Pipes Radius^2)+Velocity of Liquid/((Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient)) to evaluate the Radial Distance, The Radius of Elemental Section of Pipe given Flow Velocity of Stream is defined as width of sectional area. Radial Distance is denoted by d_radial symbol.

How to evaluate Radius of Elemental Section of Pipe given Flow Velocity of Stream using this online evaluator? To use this online evaluator for Radius of Elemental Section of Pipe given Flow Velocity of Stream, enter Inclined Pipes Radius (R_inclined), Velocity of Liquid (v), Specific Weight of Liquid (γ_f), Dynamic Viscosity (μ) & Piezometric Gradient (dh_/dx) and hit the calculate button.

FAQs on Radius of Elemental Section of Pipe given Flow Velocity of Stream

What is the formula to find Radius of Elemental Section of Pipe given Flow Velocity of Stream?

The formula of Radius of Elemental Section of Pipe given Flow Velocity of Stream is expressed as Radial Distance = sqrt((Inclined Pipes Radius^2)+Velocity of Liquid/((Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient)). Here is an example- 10.50012 = sqrt((10.5^2)+61.57/((9810/(4*1.02))*10)).

How to calculate Radius of Elemental Section of Pipe given Flow Velocity of Stream?

With Inclined Pipes Radius (R_inclined), Velocity of Liquid (v), Specific Weight of Liquid (γ_f), Dynamic Viscosity (μ) & Piezometric Gradient (dh_/dx) we can find Radius of Elemental Section of Pipe given Flow Velocity of Stream using the formula - Radial Distance = sqrt((Inclined Pipes Radius^2)+Velocity of Liquid/((Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Radial Distance?

Here are the different ways to Calculate Radial Distance-

Radial Distance=(2*Shear Stress)/(Specific Weight of Liquid*Piezometric Gradient)
Radial Distance=(2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Specific Weight of Liquid)

Can the Radius of Elemental Section of Pipe given Flow Velocity of Stream be negative?

Yes, the Radius of Elemental Section of Pipe given Flow Velocity of Stream, measured in Length can be negative.

Which unit is used to measure Radius of Elemental Section of Pipe given Flow Velocity of Stream?

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

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Radius of Elemental Section of Pipe given Flow Velocity of Stream Formula

​GoRadius of Elemental Section of Pipe given Shear Stress Formula

​GoRadius of Elemental Section of Pipe given Velocity Gradient with Shear Stress Formula

Radius of Elemental Section of Pipe given Flow Velocity of Stream Example

Radius of Elemental Section of Pipe given Flow Velocity of Stream Solution

Radius of Elemental Section of Pipe given Flow Velocity of Stream Formula Elements

Other Formulas to find Radial Distance

Other formulas in Laminar Flow Through Inclined Pipes category

How to Evaluate Radius of Elemental Section of Pipe given Flow Velocity of Stream?

FAQs on Radius of Elemental Section of Pipe given Flow Velocity of Stream

Variable Name

GoRadius of Elemental Section of Pipe given Shear Stress Formula

GoRadius of Elemental Section of Pipe given Velocity Gradient with Shear Stress Formula