Radius of Pipe given Velocity at any Point in Cylindrical Element Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pipe Radius = sqrt((-4*Dynamic Viscosity/Pressure Gradient)+(Radial Distance^2))
R = sqrt((-4*μviscosity/dp|dr)+(dradial^2))
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.
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.
Radial Distance - (Measured in Meter) - Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
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
Radial Distance: 9.2 Meter --> 9.2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = sqrt((-4*μviscosity/dp|dr)+(dradial^2)) --> sqrt((-4*1.02/17)+(9.2^2))
Evaluating ... ...
R = 9.18694726228468
STEP 3: Convert Result to Output's Unit
9.18694726228468 Meter -->9186.94726228468 Millimeter (Check conversion here)
FINAL ANSWER
9186.94726228468 9186.947 Millimeter <-- Pipe Radius
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has verified this Calculator and 1700+ more calculators!

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 Velocity at any Point in Cylindrical Element Formula

Pipe Radius = sqrt((-4*Dynamic Viscosity/Pressure Gradient)+(Radial Distance^2))
R = sqrt((-4*μviscosity/dp|dr)+(dradial^2))

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 Velocity at any Point in Cylindrical Element?

Radius of Pipe given Velocity at any Point in Cylindrical Element calculator uses Pipe Radius = sqrt((-4*Dynamic Viscosity/Pressure Gradient)+(Radial Distance^2)) to calculate the Pipe Radius, The Radius of Pipe given Velocity at any point in Cylindrical Element is defined as the total width of the pipe. Pipe Radius is denoted by R symbol.

How to calculate Radius of Pipe given Velocity at any Point in Cylindrical Element using this online calculator? To use this online calculator for Radius of Pipe given Velocity at any Point in Cylindrical Element, enter Dynamic Viscosity viscosity), Pressure Gradient (dp|dr) & Radial Distance (dradial) and hit the calculate button. Here is how the Radius of Pipe given Velocity at any Point in Cylindrical Element calculation can be explained with given input values -> 9.2E+6 = sqrt((-4*1.02/17)+(9.2^2)).

FAQ

What is Radius of Pipe given Velocity at any Point in Cylindrical Element?
The Radius of Pipe given Velocity at any point in Cylindrical Element is defined as the total width of the pipe and is represented as R = sqrt((-4*μviscosity/dp|dr)+(dradial^2)) or Pipe Radius = sqrt((-4*Dynamic Viscosity/Pressure Gradient)+(Radial Distance^2)). 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 & Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
How to calculate Radius of Pipe given Velocity at any Point in Cylindrical Element?
The Radius of Pipe given Velocity at any point in Cylindrical Element is defined as the total width of the pipe is calculated using Pipe Radius = sqrt((-4*Dynamic Viscosity/Pressure Gradient)+(Radial Distance^2)). To calculate Radius of Pipe given Velocity at any Point in Cylindrical Element, you need Dynamic Viscosity viscosity), Pressure Gradient (dp|dr) & Radial Distance (dradial). With our tool, you need to enter the respective value for Dynamic Viscosity, Pressure Gradient & Radial Distance 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 & Radial Distance. 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))
  • Pipe Radius = ((8*Dynamic Viscosity)/(pi*Pressure Gradient))^(1/4)
  • Pipe Radius = sqrt(Mean Velocity*8*Dynamic Viscosity/Pressure Gradient)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!