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

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖Velocity Gradient is the difference in velocity between the adjacent layers of the fluid.ⓘ Velocity Gradient [VG]			+10% -10%
✖The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.ⓘ 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 Velocity Gradient at Cylindrical Element [d_radial]

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Formula

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

Formula

d radial = 2 \cdot μ \cdot \frac{VG}{dp|dr}

Example

9.192 m = 2 \cdot 10.2 P \cdot \frac{76.6 m/s}{17 N/m³}

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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
d_radial = 2*μ*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 refers to the internal resistance of a fluid to flow when a 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) - The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.

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

d_radial = 2*μ*VG/dp|dr --> 2*1.02*76.6/17

Evaluating ... ...

d_radial = 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)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Steady Laminar Flow in Circular Pipes, Hagen Poiseuille Law Calculators

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)

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

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

Radial Distance = 2*Dynamic Viscosity*Velocity Gradient/Pressure Gradient
d_radial = 2*μ*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 d_radial 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 (μ), 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 d_radial = 2*μ*VG/dp|dr or Radial Distance = 2*Dynamic Viscosity*Velocity Gradient/Pressure Gradient. The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, Velocity Gradient is the difference in velocity between the adjacent layers of the fluid & The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.

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 (μ), 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))

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