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

STEP 0: Pre-Calculation Summary
Formula Used
Radial Distance = 2*Dynamic Viscosity*Velocity Gradient/Pressure Gradient
dradial = 2*μviscosity*VG/dp|dr
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.
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.
Velocity Gradient - (Measured in Meter per Second) - Velocity Gradient is the difference in velocity between the adjacent layers of the fluid.
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)
Velocity Gradient: 76.6 Meter per Second --> 76.6 Meter per Second 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
dradial = 2*μviscosity*VG/dp|dr --> 2*1.02*76.6/17
Evaluating ... ...
dradial = 9.192
STEP 3: Convert Result to Output's Unit
9.192 Meter --> No Conversion Required
FINAL ANSWER
9.192 Meter <-- Radial Distance
(Calculation completed in 00.004 seconds)

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 Velocity Gradient at Cylindrical Element Formula

Radial Distance = 2*Dynamic Viscosity*Velocity Gradient/Pressure Gradient
dradial = 2*μviscosity*VG/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 Velocity Gradient at Cylindrical Element?

Distance of Element from Center Line given Velocity Gradient at Cylindrical Element calculator uses Radial Distance = 2*Dynamic Viscosity*Velocity Gradient/Pressure Gradient to calculate the Radial Distance, The Distance of Element from Center line given Velocity Gradient at Cylindrical Element is defined as radius of elemental section. Radial Distance is denoted by dradial symbol.

How to calculate Distance of Element from Center Line given Velocity Gradient at Cylindrical Element using this online calculator? To use this online calculator for Distance of Element from Center Line given Velocity Gradient at Cylindrical Element, enter Dynamic Viscosity viscosity), Velocity Gradient (VG) & Pressure Gradient (dp|dr) and hit the calculate button. Here is how the Distance of Element from Center Line given Velocity Gradient at Cylindrical Element calculation can be explained with given input values -> 9.192 = 2*1.02*76.6/17.

FAQ

What is Distance of Element from Center Line given Velocity Gradient at Cylindrical Element?
The Distance of Element from Center line given Velocity Gradient at Cylindrical Element is defined as radius of elemental section and is represented as dradial = 2*μviscosity*VG/dp|dr or Radial Distance = 2*Dynamic Viscosity*Velocity Gradient/Pressure Gradient. The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Velocity Gradient is the difference in velocity between the adjacent layers of the fluid & Pressure Gradient is the change in pressure with respect to radial distance of element.
How to calculate Distance of Element from Center Line given Velocity Gradient at Cylindrical Element?
The Distance of Element from Center line given Velocity Gradient at Cylindrical Element is defined as radius of elemental section is calculated using Radial Distance = 2*Dynamic Viscosity*Velocity Gradient/Pressure Gradient. To calculate Distance of Element from Center Line given Velocity Gradient at Cylindrical Element, you need Dynamic Viscosity viscosity), Velocity Gradient (VG) & Pressure Gradient (dp|dr). With our tool, you need to enter the respective value for Dynamic Viscosity, Velocity Gradient & 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 Dynamic Viscosity, Velocity Gradient & Pressure Gradient. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Radial Distance = 2*Shear Stress/Pressure Gradient
  • Radial Distance = 2*Shear Stress*Length of Pipe/(Head Loss due to Friction*Specific Weight of Liquid)
  • Radial Distance = sqrt((Pipe Radius^2)-(-4*Dynamic Viscosity*Fluid Velocity in Pipe/Pressure Gradient))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!