Radius of Pipe for Mean Velocity of Flow Calculator

✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity [V_mean]			+10% -10%
✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖Pressure Gradient is the change in pressure with respect to radial distance of element.ⓘ Pressure Gradient [dp\|dr]			+10% -10%

✖The Pipe Radius is the radius of the pipe through which the fluid is flowing.ⓘ Radius of Pipe for Mean Velocity of Flow [R]

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Formula

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Radius of Pipe for Mean Velocity of Flow

Formula

`"R" = sqrt("V"_{"mean"}*8*"μ"_{"viscosity"}/"dp|dr")`

Example

`"2201.817mm"=sqrt("10.1m/s"*8*"10.2P"/"17N/m³")`

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Radius of Pipe for Mean Velocity of Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pipe Radius = sqrt(Mean Velocity*8*Dynamic Viscosity/Pressure Gradient)
R = sqrt(V_mean*8*μ_viscosity/dp|dr)
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

Pipe Radius - (Measured in Meter) - The Pipe Radius is the radius of the pipe through which the fluid is flowing.
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.

STEP 1: Convert Input(s) to Base Unit

Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = sqrt(V_mean*8*μ_viscosity/dp|dr) --> sqrt(10.1*8*1.02/17)

Evaluating ... ...

R = 2.20181743112366

STEP 3: Convert Result to Output's Unit

2.20181743112366 Meter -->2201.81743112366 Millimeter (Check conversion here)

FINAL ANSWER

2201.81743112366 ≈ 2201.817 Millimeter <-- Pipe Radius

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Steady Laminar Flow in Circular Pipes – Hagen Poiseuille Law » Laminar Flow Through Inclined Pipes » Radius of Pipe » Radius of Pipe for Mean Velocity of Flow

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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National Institute of Technology (NIT), Warangal

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< 5 Radius of Pipe Calculators

Radius of Pipe given Velocity at any Point in Cylindrical Element

Go Pipe Radius = sqrt((-4*Dynamic Viscosity/Pressure Gradient)+(Radial Distance^2))

Radius of Pipe for Mean Velocity of Flow

Go Pipe Radius = sqrt(Mean Velocity*8*Dynamic Viscosity/Pressure Gradient)

Radius of Pipe given Discharge through Pipe

Go Pipe Radius = ((8*Dynamic Viscosity)/(pi*Pressure Gradient))^(1/4)

Radius of Pipe for Maximum Velocity at Axis of Cylindrical Element

Go Pipe Radius = sqrt((4*Dynamic Viscosity)/(Pressure Gradient))

Radius of Pipe given Maximum Shear Stress at Cylindrical Element

Go Pipe Radius = 2*Maximum Shear Stress on Shaft/Pressure Gradient

Radius of Pipe for Mean Velocity of Flow Formula

Pipe Radius = sqrt(Mean Velocity*8*Dynamic Viscosity/Pressure Gradient)
R = sqrt(V_mean*8*μ_viscosity/dp|dr)

What is Flow Rate ?

Flow rate is the volume of fluid per unit time flowing past a point through the area A. Here the shaded cylinder of fluid flows past point P in a uniform pipe in time t.

How to Calculate Radius of Pipe for Mean Velocity of Flow?

Radius of Pipe for Mean Velocity of Flow calculator uses Pipe Radius = sqrt(Mean Velocity*8*Dynamic Viscosity/Pressure Gradient) to calculate the Pipe Radius, The Radius of Pipe for Mean Velocity of Flow is defined as total sectional area of pipe taken for study. Pipe Radius is denoted by R symbol.

How to calculate Radius of Pipe for Mean Velocity of Flow using this online calculator? To use this online calculator for Radius of Pipe for Mean Velocity of Flow, enter Mean Velocity (V_mean), Dynamic Viscosity (μ_viscosity) & Pressure Gradient (dp|dr) and hit the calculate button. Here is how the Radius of Pipe for Mean Velocity of Flow calculation can be explained with given input values -> 2.2E+6 = sqrt(10.1*8*1.02/17).

FAQ

What is Radius of Pipe for Mean Velocity of Flow?

The Radius of Pipe for Mean Velocity of Flow is defined as total sectional area of pipe taken for study and is represented as R = sqrt(V_mean*8*μ_viscosity/dp|dr) or Pipe Radius = sqrt(Mean Velocity*8*Dynamic Viscosity/Pressure Gradient). Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T, The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied & Pressure Gradient is the change in pressure with respect to radial distance of element.

How to calculate Radius of Pipe for Mean Velocity of Flow?

The Radius of Pipe for Mean Velocity of Flow is defined as total sectional area of pipe taken for study is calculated using Pipe Radius = sqrt(Mean Velocity*8*Dynamic Viscosity/Pressure Gradient). To calculate Radius of Pipe for Mean Velocity of Flow, you need Mean Velocity (V_mean), Dynamic Viscosity (μ_viscosity) & Pressure Gradient (dp|dr). With our tool, you need to enter the respective value for Mean Velocity, Dynamic Viscosity & Pressure Gradient 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 Pipe Radius?

In this formula, Pipe Radius uses Mean Velocity, Dynamic Viscosity & Pressure Gradient. We can use 4 other way(s) to calculate the same, which is/are as follows -

Pipe Radius = 2*Maximum Shear Stress on Shaft/Pressure Gradient
Pipe Radius = sqrt((-4*Dynamic Viscosity/Pressure Gradient)+(Radial Distance^2))
Pipe Radius = sqrt((4*Dynamic Viscosity)/(Pressure Gradient))
Pipe Radius = ((8*Dynamic Viscosity)/(pi*Pressure Gradient))^(1/4)

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