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

✖The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid.ⓘ Velocity Gradient [V_G]			+10% -10%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖The Piezometric Gradient refers to the measure of the change in hydraulic head (or piezometric head) per unit distance in a given direction within a fluid system.ⓘ Piezometric Gradient [dh_/dx]			+10% -10%
✖The Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+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.ⓘ Radius of Elemental Section of Pipe given Velocity Gradient with Shear Stress [d_radial]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Laminar Flow Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

Radial Distance = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Specific Weight of Liquid)
d_radial = (2*V_G*μ)/(dh_/dx*γ_f)
This formula uses 5 Variables

Variables Used

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.
Velocity Gradient - (Measured in Meter per Second) - The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Piezometric Gradient - The Piezometric Gradient refers to the measure of the change in hydraulic head (or piezometric head) per unit distance in a given direction within a fluid system.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.

STEP 1: Convert Input(s) to Base Unit

Velocity Gradient: 76.6 Meter per Second --> 76.6 Meter per Second No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Piezometric Gradient: 10 --> No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_radial = (2*V_G*μ)/(dh_/dx*γ_f) --> (2*76.6*1.02)/(10*9810)

Evaluating ... ...

d_radial = 0.00159290519877676

STEP 3: Convert Result to Output's Unit

0.00159290519877676 Meter --> No Conversion Required

FINAL ANSWER

0.00159290519877676 ≈ 0.001593 Meter <-- Radial Distance

(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 Elemental Section of Pipe given Velocity Gradient with 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!

< Laminar Flow Through Inclined Pipes Calculators

Radius of Elemental Section of Pipe given Shear Stress

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

Specific Weight of Fluid given Shear Stress

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

Piezometric Gradient given Shear Stress

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

Shear Stresses

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

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

LaTeX Go

Radial Distance = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Specific Weight of Liquid)
d_radial = (2*V_G*μ)/(dh_/dx*γ_f)

What is meant by velocity gradient?

According to the definition of velocity gradient, the difference in velocity between the layers of the fluid is known as the velocity gradient. It is represented by v/x, where v stands for velocity and x stands for the distance between the adjacent layers of the fluid.

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

Radius of Elemental Section of Pipe given Velocity Gradient with Shear Stress calculator uses Radial Distance = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Specific Weight of Liquid) to calculate the Radial Distance, The Radius of Elemental Section of Pipe given Velocity Gradient with Shear Stress formula is defined as width of section. Radial Distance is denoted by d_radial symbol.

How to calculate Radius of Elemental Section of Pipe given Velocity Gradient with Shear Stress using this online calculator? To use this online calculator for Radius of Elemental Section of Pipe given Velocity Gradient with Shear Stress, enter Velocity Gradient (V_G), Dynamic Viscosity (μ), Piezometric Gradient (dh_/dx) & Specific Weight of Liquid (γ_f) and hit the calculate button. Here is how the Radius of Elemental Section of Pipe given Velocity Gradient with Shear Stress calculation can be explained with given input values -> 0.001593 = (2*76.6*1.02)/(10*9810).

FAQ

What is Radius of Elemental Section of Pipe given Velocity Gradient with Shear Stress?

The Radius of Elemental Section of Pipe given Velocity Gradient with Shear Stress formula is defined as width of section and is represented as d_radial = (2*V_G*μ)/(dh_/dx*γ_f) or Radial Distance = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Specific Weight of Liquid). The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, The Piezometric Gradient refers to the measure of the change in hydraulic head (or piezometric head) per unit distance in a given direction within a fluid system & The Specific Weight of Liquid refers to the weight per unit volume of that substance.

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

The Radius of Elemental Section of Pipe given Velocity Gradient with Shear Stress formula is defined as width of section is calculated using Radial Distance = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Specific Weight of Liquid). To calculate Radius of Elemental Section of Pipe given Velocity Gradient with Shear Stress, you need Velocity Gradient (V_G), Dynamic Viscosity (μ), Piezometric Gradient (dh_/dx) & Specific Weight of Liquid (γ_f). With our tool, you need to enter the respective value for Velocity Gradient, Dynamic Viscosity, Piezometric Gradient & Specific Weight of Liquid 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 Velocity Gradient, Dynamic Viscosity, Piezometric Gradient & Specific Weight of Liquid. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search