Radius of Elemental Section of Pipe given Shear Stress 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%
✖Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length.ⓘ Piezometric Gradient [dhbydx]			+10% -10%

✖Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radius of Elemental Section of Pipe given Shear Stress [d_radial]

⎘ Copy

👎

Formula

✖

Radius of Elemental Section of Pipe given Shear Stress

Formula

`"d"_{"radial"} = (2*"𝜏")/("γ"_{"f"}*"dhbydx")`

Example

`"0.001898m"=(2*"93.1Pa")/("9.81kN/m³"*"10")`

Calculator

LaTeX

Reset

👍

Download Laminar Flow Formula PDF

Radius of Elemental Section of Pipe given Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Distance = (2*Shear Stress)/(Specific Weight of Liquid*Piezometric Gradient)
d_radial = (2*𝜏)/(γ_f*dhbydx)
This formula uses 4 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.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
Piezometric Gradient - Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 93.1 Pascal --> 93.1 Pascal No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Piezometric Gradient: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_radial = (2*𝜏)/(γ_f*dhbydx) --> (2*93.1)/(9810*10)

Evaluating ... ...

d_radial = 0.00189806320081549

STEP 3: Convert Result to Output's Unit

0.00189806320081549 Meter --> No Conversion Required

FINAL ANSWER

0.00189806320081549 ≈ 0.001898 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 » Laminar Flow Through Inclined Pipes » Radius of Elemental Section of Pipe given Shear Stress

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!

< 15 Laminar Flow Through Inclined Pipes Calculators

Radius of Elemental Section of Pipe given Flow Velocity of Stream

Go Radial Distance = sqrt((Inclined Pipes Radius^2)+Velocity of Liquid/((Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient))

Radius of Pipe for Flow Velocity of Stream

Go Inclined Pipes Radius = sqrt((Radial Distance^2)-((Velocity of Liquid*4*Dynamic Viscosity)/(Specific Weight of Liquid*Piezometric Gradient)))

Specific Weight of Liquid given Flow Velocity of Stream

Go Specific Weight of Liquid = Velocity of Liquid/((1/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2))

Piezometric Gradient given Flow Velocity of Stream

Go Piezometric Gradient = Velocity of Liquid/(((Specific Weight of Liquid)/(4*Dynamic Viscosity))*(Inclined Pipes Radius^2-Radial Distance^2))

Dynamic Viscosity given Flow Velocity of Stream

Go Dynamic Viscosity = (Specific Weight of Liquid/((4*Velocity of Liquid))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2))

Flow Velocity of Stream

Go Velocity of Liquid = (Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2)

Piezometric Gradient given Velocity Gradient with Shear Stress

Go Piezometric Gradient = Velocity Gradient/((Specific Weight of Liquid/Dynamic Viscosity)*(0.5*Radial Distance))

Radius of Elemental Section of Pipe given Velocity Gradient with Shear Stress

Go Radial Distance = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Specific Weight of Liquid)

Specific Weight of Liquid given Velocity Gradient with Shear Stress

Go Specific Weight of Liquid = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Radial Distance)

Velocity Gradient given Piezometric Gradient with Shear Stress

Go Velocity Gradient = (Specific Weight of Liquid/Dynamic Viscosity)*Piezometric Gradient*0.5*Radial Distance

Dynamic Viscosity given Velocity Gradient with Shear Stress

Go Dynamic Viscosity = (Specific Weight of Liquid/Velocity Gradient)*Piezometric Gradient*0.5*Radial Distance

Radius of Elemental Section of Pipe given Shear Stress

Go Radial Distance = (2*Shear Stress)/(Specific Weight of Liquid*Piezometric Gradient)

Specific Weight of Fluid given Shear Stress

Go Specific Weight of Liquid = (2*Shear Stress)/(Radial Distance*Piezometric Gradient)

Piezometric Gradient given Shear Stress

Go Piezometric Gradient = (2*Shear Stress)/(Specific Weight of Liquid*Radial Distance)

Shear Stresses

Go Shear Stress = Specific Weight of Liquid*Piezometric Gradient*Radial Distance/2

Radius of Elemental Section of Pipe given Shear Stress Formula

Radial Distance = (2*Shear Stress)/(Specific Weight of Liquid*Piezometric Gradient)
d_radial = (2*𝜏)/(γ_f*dhbydx)

What is Shear Stress ?

The shear stress is the type of stress where we consider the force applied on any area of the member surface. It means load per unit area expressed in N/mm2 or Pascal in the SI system. Mostly we consider Pascal as Pa.

How to Calculate Radius of Elemental Section of Pipe given Shear Stress?

Radius of Elemental Section of Pipe given Shear Stress calculator uses Radial Distance = (2*Shear Stress)/(Specific Weight of Liquid*Piezometric Gradient) to calculate the Radial Distance, The Radius of Elemental Section of Pipe given Shear Stress is defined as width of elemental section of pipe used in flowing stream. Radial Distance is denoted by d_radial symbol.

How to calculate Radius of Elemental Section of Pipe given Shear Stress using this online calculator? To use this online calculator for Radius of Elemental Section of Pipe given Shear Stress, enter Shear Stress (𝜏), Specific Weight of Liquid (γ_f) & Piezometric Gradient (dhbydx) and hit the calculate button. Here is how the Radius of Elemental Section of Pipe given Shear Stress calculation can be explained with given input values -> 0.001898 = (2*93.1)/(9810*10).

FAQ

What is Radius of Elemental Section of Pipe given Shear Stress?

The Radius of Elemental Section of Pipe given Shear Stress is defined as width of elemental section of pipe used in flowing stream and is represented as d_radial = (2*𝜏)/(γ_f*dhbydx) or Radial Distance = (2*Shear Stress)/(Specific Weight of Liquid*Piezometric Gradient). Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid & Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length.

How to calculate Radius of Elemental Section of Pipe given Shear Stress?

The Radius of Elemental Section of Pipe given Shear Stress is defined as width of elemental section of pipe used in flowing stream is calculated using Radial Distance = (2*Shear Stress)/(Specific Weight of Liquid*Piezometric Gradient). To calculate Radius of Elemental Section of Pipe given Shear Stress, you need Shear Stress (𝜏), Specific Weight of Liquid (γ_f) & Piezometric Gradient (dhbydx). With our tool, you need to enter the respective value for Shear Stress, Specific Weight of Liquid & Piezometric 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, Specific Weight of Liquid & Piezometric Gradient. We can use 2 other way(s) to calculate the same, which is/are as follows -

Radial Distance = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Specific Weight of Liquid)
Radial Distance = sqrt((Inclined Pipes Radius^2)+Velocity of Liquid/((Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient))

Home

FREE PDFs

🔍 Search