Radius of Pipe given Discharge through Pipe Calculator

✖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 given Discharge through Pipe [R]

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Radius of Pipe given Discharge through Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
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

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)/(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 <-- Radius of pipe

(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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< 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 given Discharge through Pipe Formula

LaTeX Go

Radius of pipe = ((8*Dynamic Viscosity)/(pi*Pressure Gradient))^(1/4)
R = ((8*μ)/(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 Radius of pipe = ((8*Dynamic Viscosity)/(pi*Pressure Gradient))^(1/4) to calculate the Radius of pipe, The Radius of pipe given discharge through pipe is defined as the width of the pipe through which water is flowing. Radius of pipe 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) & 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)/(pi*dp|dr))^(1/4) or Radius of pipe = ((8*Dynamic Viscosity)/(pi*Pressure Gradient))^(1/4). 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 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 Radius of pipe = ((8*Dynamic Viscosity)/(pi*Pressure Gradient))^(1/4). To calculate Radius of Pipe given Discharge through Pipe, you need Dynamic Viscosity (μ) & 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 Radius of pipe?

In this formula, Radius of pipe uses 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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