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)
dradial = (2*VG*μviscosity)/(dhbydx*γf)
This formula uses 5 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.
Velocity Gradient - (Measured in Meter per Second) - Velocity Gradient is the difference in velocity between the adjacent layers of the fluid.
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.
Piezometric Gradient - Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length.
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.
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
dradial = (2*VG*μviscosity)/(dhbydx*γf) --> (2*76.6*1.02)/(10*9810)
Evaluating ... ...
dradial = 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 00.004 seconds)

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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 Velocity Gradient with Shear Stress Formula

Radial Distance = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Specific Weight of Liquid)
dradial = (2*VG*μviscosity)/(dhbydx*γf)

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 dradial 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 (VG), Dynamic Viscosity viscosity), Piezometric Gradient (dhbydx) & Specific Weight of Liquid 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 dradial = (2*VG*μviscosity)/(dhbydx*γf) or Radial Distance = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Specific Weight of Liquid). Velocity Gradient is the difference in velocity between the adjacent layers of the fluid, The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length & Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
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 (VG), Dynamic Viscosity viscosity), Piezometric Gradient (dhbydx) & Specific Weight of Liquid 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))
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