Distance of Element from Center line given Shear Stress at any Cylindrical Element Calculator

✖Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress [𝜏]			+10% -10%
✖Pressure Gradient is the change in pressure with respect to radial distance of element.ⓘ Pressure Gradient [dp\|dr]			+10% -10%

✖Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Distance of Element from Center line given Shear Stress at any Cylindrical Element [d_radial]

⎘ Copy

👎

Formula

✖

Distance of Element from Center line given Shear Stress at any Cylindrical Element

Formula

`"d"_{"radial"} = 2*"𝜏"/"dp|dr"`

Example

`"10.95294m"=2*"93.1Pa"/"17N/m³"`

Calculator

LaTeX

Reset

👍

Download Laminar Flow Formula PDF

Distance of Element from Center line given Shear Stress at any Cylindrical Element Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Distance = 2*Shear Stress/Pressure Gradient
d_radial = 2*𝜏/dp|dr
This formula uses 3 Variables

Variables Used

Radial Distance - (Measured in Meter) - Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
Shear Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
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

Shear Stress: 93.1 Pascal --> 93.1 Pascal No Conversion Required
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_radial = 2*𝜏/dp|dr --> 2*93.1/17

Evaluating ... ...

d_radial = 10.9529411764706

STEP 3: Convert Result to Output's Unit

10.9529411764706 Meter --> No Conversion Required

FINAL ANSWER

10.9529411764706 ≈ 10.95294 Meter <-- Radial Distance

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Steady Laminar Flow in Circular Pipes – Hagen Poiseuille Law » Distance of Element from Center line given Shear Stress at any 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 M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< 12 Steady Laminar Flow in Circular Pipes – Hagen Poiseuille Law Calculators

Distance of Element from Center Line given Velocity at any point in Cylindrical Element

Go Radial Distance = sqrt((Pipe Radius^2)-(-4*Dynamic Viscosity*Fluid Velocity in Pipe/Pressure Gradient))

Velocity at any point in Cylindrical Element

Go Fluid Velocity in Pipe = -(1/(4*Dynamic Viscosity))*Pressure Gradient*((Pipe Radius^2)-(Radial Distance^2))

Shear Stress at any Cylindrical Element given Head Loss

Go Shear Stress = (Specific Weight of Liquid*Head Loss due to Friction*Radial Distance)/(2*Length of Pipe)

Distance of Element from Center Line given Head Loss

Go Radial Distance = 2*Shear Stress*Length of Pipe/(Head Loss due to Friction*Specific Weight of Liquid)

Discharge through Pipe given Pressure Gradient

Go Discharge in pipe = (pi/(8*Dynamic Viscosity))*(Pipe Radius^4)*Pressure Gradient

Velocity Gradient given Pressure Gradient at Cylindrical Element

Go Velocity Gradient = (1/(2*Dynamic Viscosity))*Pressure Gradient*Radial Distance

Distance of Element from Center Line given Velocity Gradient at Cylindrical Element

Go Radial Distance = 2*Dynamic Viscosity*Velocity Gradient/Pressure Gradient

Mean Velocity of Fluid Flow

Go Mean Velocity = (1/(8*Dynamic Viscosity))*Pressure Gradient*Pipe Radius^2

Distance of Element from Center line given Shear Stress at any Cylindrical Element

Go Radial Distance = 2*Shear Stress/Pressure Gradient

Shear Stress at any Cylindrical Element

Go Shear Stress = Pressure Gradient*Radial Distance/2

Mean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element

Go Mean Velocity = 0.5*Maximum Velocity

Maximum Velocity at Axis of Cylindrical Element given Mean Velocity of Flow

Go Maximum Velocity = 2*Mean Velocity

Distance of Element from Center line given Shear Stress at any Cylindrical Element Formula

Radial Distance = 2*Shear Stress/Pressure Gradient
d_radial = 2*𝜏/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 Distance of Element from Center line given Shear Stress at any Cylindrical Element?

Distance of Element from Center line given Shear Stress at any Cylindrical Element calculator uses Radial Distance = 2*Shear Stress/Pressure Gradient to calculate the Radial Distance, The Distance of Element from Center line given Shear Stress at any Cylindrical Element is defined as radius of elemental section. Radial Distance is denoted by d_radial symbol.

How to calculate Distance of Element from Center line given Shear Stress at any Cylindrical Element using this online calculator? To use this online calculator for Distance of Element from Center line given Shear Stress at any Cylindrical Element, enter Shear Stress (𝜏) & Pressure Gradient (dp|dr) and hit the calculate button. Here is how the Distance of Element from Center line given Shear Stress at any Cylindrical Element calculation can be explained with given input values -> 10.95294 = 2*93.1/17.

FAQ

What is Distance of Element from Center line given Shear Stress at any Cylindrical Element?

The Distance of Element from Center line given Shear Stress at any Cylindrical Element is defined as radius of elemental section and is represented as d_radial = 2*𝜏/dp|dr or Radial Distance = 2*Shear Stress/Pressure Gradient. Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress & Pressure Gradient is the change in pressure with respect to radial distance of element.

How to calculate Distance of Element from Center line given Shear Stress at any Cylindrical Element?

The Distance of Element from Center line given Shear Stress at any Cylindrical Element is defined as radius of elemental section is calculated using Radial Distance = 2*Shear Stress/Pressure Gradient. To calculate Distance of Element from Center line given Shear Stress at any Cylindrical Element, you need Shear Stress (𝜏) & Pressure Gradient (dp|dr). With our tool, you need to enter the respective value for Shear Stress & 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 Radial Distance?

In this formula, Radial Distance uses Shear Stress & Pressure Gradient. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radial Distance = 2*Shear Stress*Length of Pipe/(Head Loss due to Friction*Specific Weight of Liquid)
Radial Distance = 2*Dynamic Viscosity*Velocity Gradient/Pressure Gradient
Radial Distance = sqrt((Pipe Radius^2)-(-4*Dynamic Viscosity*Fluid Velocity in Pipe/Pressure Gradient))

Home

FREE PDFs

🔍 Search