Radius of Pipe given Velocity at any Point in Cylindrical Element 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 Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.ⓘ Radial Distance [d_radial]			+10% -10%

✖The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.ⓘ Radius of Pipe given Velocity at any Point in Cylindrical Element [R]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Laminar Flow Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

Radius of pipe = sqrt((-4*Dynamic Viscosity/Pressure Gradient)+(Radial Distance^2))
R = sqrt((-4*μ/dp|dr)+(d_radial^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

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.
Radial Distance - (Measured in Meter) - The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.

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*μ/dp|dr)+(d_radial^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 <-- Radius of pipe

(Calculation completed in 00.020 seconds)

You are here -

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 given Velocity at any Point in Cylindrical Element

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!

< 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 Velocity at any Point in Cylindrical Element Formula

LaTeX Go

Radius of pipe = sqrt((-4*Dynamic Viscosity/Pressure Gradient)+(Radial Distance^2))
R = sqrt((-4*μ/dp|dr)+(d_radial^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 Radius of pipe = sqrt((-4*Dynamic Viscosity/Pressure Gradient)+(Radial Distance^2)) to calculate the Radius of pipe, The Radius of Pipe given Velocity at any point in Cylindrical Element is defined as the total width of the pipe. Radius of pipe 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 (μ), Pressure Gradient (dp|dr) & Radial Distance (d_radial) 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*μ/dp|dr)+(d_radial^2)) or Radius of pipe = sqrt((-4*Dynamic Viscosity/Pressure Gradient)+(Radial Distance^2)). 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 & The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.

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 Radius of pipe = 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 (μ), Pressure Gradient (dp|dr) & Radial Distance (d_radial). 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 Radius of pipe?

In this formula, Radius of pipe uses Dynamic Viscosity, Pressure Gradient & Radial Distance. 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))
Radius of pipe = ((8*Dynamic Viscosity)/(pi*Pressure Gradient))^(1/4)

Home

FREE PDFs

🔍 Search