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

STEP 0: Pre-Calculation Summary
Formula Used
Pipe Radius = sqrt((4*Dynamic Viscosity)/(Pressure Gradient))
R = sqrt((4*μviscosity)/(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
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.
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*μviscosity)/(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 <-- Pipe Radius
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Indian Institute of Information Technology (IIIT), Bhopal
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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 for Maximum Velocity at Axis of Cylindrical Element Formula

Pipe Radius = sqrt((4*Dynamic Viscosity)/(Pressure Gradient))
R = sqrt((4*μviscosity)/(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 Pipe Radius = sqrt((4*Dynamic Viscosity)/(Pressure Gradient)) to calculate the Pipe Radius, 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. Pipe Radius 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 viscosity) & 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*μviscosity)/(dp|dr)) or Pipe Radius = sqrt((4*Dynamic Viscosity)/(Pressure Gradient)). 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.
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 Pipe Radius = sqrt((4*Dynamic Viscosity)/(Pressure Gradient)). To calculate Radius of Pipe for Maximum Velocity at Axis of Cylindrical Element, you need Dynamic Viscosity viscosity) & 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 Pipe Radius?
In this formula, Pipe Radius uses Dynamic Viscosity & Pressure Gradient. 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)+(Radial Distance^2))
  • Pipe Radius = ((8*Dynamic Viscosity)/(pi*Pressure Gradient))^(1/4)
  • Pipe Radius = sqrt(Mean Velocity*8*Dynamic Viscosity/Pressure Gradient)
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