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The Radius of Pipe refers to the distance from the center of the pipe to its inner wall. Check FAQs
R=(8μπdp|dr)14
R - Radius of pipe?μ - Dynamic Viscosity?dp|dr - Pressure Gradient?π - Archimedes' constant?

Radius of Pipe given Discharge through Pipe Example

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With units
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Here is how the Radius of Pipe given Discharge through Pipe equation looks like with Values.

Here is how the Radius of Pipe given Discharge through Pipe equation looks like with Units.

Here is how the Radius of Pipe given Discharge through Pipe equation looks like.

625.2056Edit=(810.2Edit3.141617Edit)14
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Radius of Pipe given Discharge through Pipe Solution

Follow our step by step solution on how to calculate Radius of Pipe given Discharge through Pipe?

FIRST Step Consider the formula
R=(8μπdp|dr)14
Next Step Substitute values of Variables
R=(810.2Pπ17N/m³)14
Next Step Substitute values of Constants
R=(810.2P3.141617N/m³)14
Next Step Convert Units
R=(81.02Pa*s3.141617N/m³)14
Next Step Prepare to Evaluate
R=(81.023.141617)14
Next Step Evaluate
R=0.625205573809396m
Next Step Convert to Output's Unit
R=625.205573809396mm
LAST Step Rounding Answer
R=625.2056mm

Radius of Pipe given Discharge through Pipe Formula Elements

Variables
Constants
Radius of pipe
The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.
Symbol: R
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
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.
Pressure Gradient
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.
Symbol: dp|dr
Measurement: Pressure GradientUnit: N/m³
Note: Value should be greater than 0.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288

Other Formulas to find Radius of pipe

​Go Radius of Pipe given Maximum Shear Stress at Cylindrical Element
R=2𝜏maxdp|dr
​Go Radius of Pipe given Velocity at any Point in Cylindrical Element
R=(-4μdp|dr)+(dradial2)
​Go Radius of Pipe for Maximum Velocity at Axis of Cylindrical Element
R=4μdp|dr
​Go Radius of Pipe for Mean Velocity of Flow
R=Vmean8μdp|dr

How to Evaluate Radius of Pipe given Discharge through Pipe?

Radius of Pipe given Discharge through Pipe evaluator uses Radius of pipe = ((8*Dynamic Viscosity)/(pi*Pressure Gradient))^(1/4) to evaluate 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 evaluate Radius of Pipe given Discharge through Pipe using this online evaluator? To use this online evaluator for Radius of Pipe given Discharge through Pipe, enter Dynamic Viscosity (μ) & Pressure Gradient (dp|dr) and hit the calculate button.

FAQs on Radius of Pipe given Discharge through Pipe

What is the formula to find Radius of Pipe given Discharge through Pipe?
The formula of Radius of Pipe given Discharge through Pipe is expressed as Radius of pipe = ((8*Dynamic Viscosity)/(pi*Pressure Gradient))^(1/4). Here is an example- 625205.6 = ((8*1.02)/(pi*17))^(1/4).
How to calculate Radius of Pipe given Discharge through Pipe?
With Dynamic Viscosity (μ) & Pressure Gradient (dp|dr) we can find Radius of Pipe given Discharge through Pipe using the formula - Radius of pipe = ((8*Dynamic Viscosity)/(pi*Pressure Gradient))^(1/4). This formula also uses Archimedes' constant .
What are the other ways to Calculate Radius of pipe?
Here are the different ways to Calculate Radius of pipe-
  • Radius of pipe=2*Maximum Shear Stress on Shaft/Pressure GradientOpenImg
  • Radius of pipe=sqrt((-4*Dynamic Viscosity/Pressure Gradient)+(Radial Distance^2))OpenImg
  • Radius of pipe=sqrt((4*Dynamic Viscosity)/(Pressure Gradient))OpenImg
Can the Radius of Pipe given Discharge through Pipe be negative?
No, the Radius of Pipe given Discharge through Pipe, measured in Length cannot be negative.
Which unit is used to measure Radius of Pipe given Discharge through Pipe?
Radius of Pipe given Discharge through Pipe is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius of Pipe given Discharge through Pipe can be measured.
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