Radius of Pipe for Maximum Velocity at Axis of 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 Radius of Pipe refers to the distance from the center of the pipe to its inner wall.ⓘ Radius of Pipe for Maximum Velocity at Axis of Cylindrical Element [R]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Laminar Flow Formula PDF PDF Image

Radius of Pipe for Maximum Velocity at Axis of Cylindrical Element Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of pipe = sqrt((4*Dynamic Viscosity)/(Pressure Gradient))
R = sqrt((4*μ)/(dp|dr))
This formula uses 1 Functions, 3 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.

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 = sqrt((4*μ)/(dp|dr)) --> sqrt((4*1.02)/(17))

Evaluating ... ...

R = 0.489897948556636

STEP 3: Convert Result to Output's Unit

0.489897948556636 Meter -->489.897948556636 Millimeter (Check conversion here)

FINAL ANSWER

489.897948556636 ≈ 489.8979 Millimeter <-- Radius of pipe

(Calculation completed in 00.004 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 for Maximum Velocity at Axis of 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 Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma 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 for Maximum Velocity at Axis of Cylindrical Element Formula

LaTeX Go

Radius of pipe = sqrt((4*Dynamic Viscosity)/(Pressure Gradient))
R = sqrt((4*μ)/(dp|dr))

What is Pressure Gradient ?

Pressure gradient is a physical quantity that describes in which direction and at what rate the pressure increases the most rapidly around a particular location. The pressure gradient is a dimensional quantity expressed in units of pascals per metre

How to Calculate Radius of Pipe for Maximum Velocity at Axis of Cylindrical Element?

Radius of Pipe for Maximum Velocity at Axis of Cylindrical Element calculator uses Radius of pipe = sqrt((4*Dynamic Viscosity)/(Pressure Gradient)) to calculate the Radius of pipe, The Radius of Pipe for Maximum Velocity at axis of Cylindrical Element is defines the maximum velocity that occurs at the axis of the pipe and has the specified magnitude. Radius of pipe is denoted by R symbol.

How to calculate Radius of Pipe for Maximum Velocity at Axis of Cylindrical Element using this online calculator? To use this online calculator for Radius of Pipe for Maximum Velocity at Axis of Cylindrical Element, enter Dynamic Viscosity (μ) & Pressure Gradient (dp|dr) and hit the calculate button. Here is how the Radius of Pipe for Maximum Velocity at Axis of Cylindrical Element calculation can be explained with given input values -> 489897.9 = sqrt((4*1.02)/(17)).

FAQ

What is Radius of Pipe for Maximum Velocity at Axis of Cylindrical Element?

The Radius of Pipe for Maximum Velocity at axis of Cylindrical Element is defines the maximum velocity that occurs at the axis of the pipe and has the specified magnitude and is represented as R = sqrt((4*μ)/(dp|dr)) or Radius of pipe = sqrt((4*Dynamic Viscosity)/(Pressure Gradient)). 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 for Maximum Velocity at Axis of Cylindrical Element?

The Radius of Pipe for Maximum Velocity at axis of Cylindrical Element is defines the maximum velocity that occurs at the axis of the pipe and has the specified magnitude is calculated using Radius of pipe = sqrt((4*Dynamic Viscosity)/(Pressure Gradient)). To calculate Radius of Pipe for Maximum Velocity at Axis of Cylindrical Element, 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 = ((8*Dynamic Viscosity)/(pi*Pressure Gradient))^(1/4)

Home

FREE PDFs

🔍 Search