Radius of Pipe given Discharge through Pipe Calculator

✖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 given Discharge through Pipe [R]

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Formula

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Radius of Pipe given Discharge through Pipe

Formula

`"R" = ((8*"μ"_{"viscosity"})/(pi*"dp|dr"))^(1/4)`

Example

`"625.2056mm"=((8*"10.2P")/(pi*"17N/m³"))^(1/4)`

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Radius of Pipe given Discharge through Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pipe Radius = ((8*Dynamic Viscosity)/(pi*Pressure Gradient))^(1/4)
R = ((8*μ_viscosity)/(pi*dp|dr))^(1/4)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Pipe Radius - (Measured in Meter) - The Pipe Radius is the radius of the pipe through which the fluid is flowing.
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

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 = ((8*μ_viscosity)/(pi*dp|dr))^(1/4) --> ((8*1.02)/(pi*17))^(1/4)

Evaluating ... ...

R = 0.625205573809396

STEP 3: Convert Result to Output's Unit

0.625205573809396 Meter -->625.205573809396 Millimeter (Check conversion here)

FINAL ANSWER

625.205573809396 ≈ 625.2056 Millimeter <-- Pipe Radius

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Coorg Institute of Technology (CIT), Coorg

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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 given Discharge through Pipe Formula

Pipe Radius = ((8*Dynamic Viscosity)/(pi*Pressure Gradient))^(1/4)
R = ((8*μ_viscosity)/(pi*dp|dr))^(1/4)

What is Pipe Radius ?

The Pipe Radius is the distance, in pixels, between the center of a pipe segment to the edge of the pipe segment. The maximum pipe radius is one pixel less than the radius of the narrowest flange. The radius of a flange is equal to the pipe radius plus the flange width.

How to Calculate Radius of Pipe given Discharge through Pipe?

Radius of Pipe given Discharge through Pipe calculator uses Pipe Radius = ((8*Dynamic Viscosity)/(pi*Pressure Gradient))^(1/4) to calculate the Pipe Radius, The Radius of pipe given discharge through pipe is defined as the width of the pipe through which water is flowing. Pipe Radius is denoted by R symbol.

How to calculate Radius of Pipe given Discharge through Pipe using this online calculator? To use this online calculator for Radius of Pipe given Discharge through Pipe, enter Dynamic Viscosity (μ_viscosity) & Pressure Gradient (dp|dr) and hit the calculate button. Here is how the Radius of Pipe given Discharge through Pipe calculation can be explained with given input values -> 625205.6 = ((8*1.02)/(pi*17))^(1/4).

FAQ

What is Radius of Pipe given Discharge through Pipe?

The Radius of pipe given discharge through pipe is defined as the width of the pipe through which water is flowing and is represented as R = ((8*μ_viscosity)/(pi*dp|dr))^(1/4) or Pipe Radius = ((8*Dynamic Viscosity)/(pi*Pressure Gradient))^(1/4). 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 given Discharge through Pipe?

The Radius of pipe given discharge through pipe is defined as the width of the pipe through which water is flowing is calculated using Pipe Radius = ((8*Dynamic Viscosity)/(pi*Pressure Gradient))^(1/4). To calculate Radius of Pipe given Discharge through Pipe, you need Dynamic Viscosity (μ_viscosity) & Pressure Gradient (dp|dr). With our tool, you need to enter the respective value for 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 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 = sqrt(Mean Velocity*8*Dynamic Viscosity/Pressure Gradient)

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