Radius of Pipe for Mean Velocity of Flow Calculator

✖The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.ⓘ Mean Velocity [V_mean]			+10% -10%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.ⓘ Pressure Gradient [dp\|dr]			+10% -10%

✖The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.ⓘ Radius of Pipe for Mean Velocity of Flow [R]

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Radius of Pipe for Mean Velocity of Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of pipe = sqrt(Mean Velocity*8*Dynamic Viscosity/Pressure Gradient)
R = sqrt(V_mean*8*μ/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

Radius of pipe - (Measured in Meter) - The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.
Mean Velocity - (Measured in Meter per Second) - The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Pressure Gradient - (Measured in Newton per Cubic Meter) - The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.

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/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 <-- Radius of pipe

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Steady Laminar Flow in Circular Pipes » 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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< Radius of Pipe Calculators

Radius of Pipe given Velocity at any Point in Cylindrical Element

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

Radius of Pipe given Discharge through Pipe

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

Radius of Pipe for Maximum Velocity at Axis of Cylindrical Element

LaTeX Go Radius of pipe = sqrt((4*Dynamic Viscosity)/(Pressure Gradient))

Radius of Pipe given Maximum Shear Stress at Cylindrical Element

LaTeX Go Radius of pipe = 2*Maximum Shear Stress on Shaft/Pressure Gradient

Radius of Pipe for Mean Velocity of Flow Formula

LaTeX Go

Radius of pipe = sqrt(Mean Velocity*8*Dynamic Viscosity/Pressure Gradient)
R = sqrt(V_mean*8*μ/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 Radius of pipe = sqrt(Mean Velocity*8*Dynamic Viscosity/Pressure Gradient) to calculate the Radius of pipe, The Radius of Pipe for Mean Velocity of Flow is defined as total sectional area of pipe taken for study. Radius of pipe 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) & 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/dp|dr) or Radius of pipe = sqrt(Mean Velocity*8*Dynamic Viscosity/Pressure Gradient). The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied & The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.

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 Radius of pipe = 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) & 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 Radius of pipe?

In this formula, Radius of pipe uses Mean Velocity, Dynamic Viscosity & Pressure Gradient. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radius of pipe = 2*Maximum Shear Stress on Shaft/Pressure Gradient
Radius of pipe = sqrt((-4*Dynamic Viscosity/Pressure Gradient)+(Radial Distance^2))
Radius of pipe = sqrt((4*Dynamic Viscosity)/(Pressure Gradient))

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