Velocity Gradient given Pressure 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%
✖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.ⓘ Radial Distance [d_radial]			+10% -10%

✖Velocity Gradient is the difference in velocity between the adjacent layers of the fluid.ⓘ Velocity Gradient given Pressure Gradient at Cylindrical Element [VG]

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Formula

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Velocity Gradient given Pressure Gradient at Cylindrical Element

Formula

VG = (\frac{1}{2 \cdot μ}) \cdot dp|dr \cdot d radial

Example

76.66667 m/s = (\frac{1}{2 \cdot 10.2 P}) \cdot 17 N/m³ \cdot 9.2 m

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Velocity Gradient given Pressure Gradient at Cylindrical Element Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Gradient = (1/(2*Dynamic Viscosity))*Pressure Gradient*Radial Distance
VG = (1/(2*μ))*dp|dr*d_radial
This formula uses 4 Variables

Variables Used

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 refers to the internal resistance of a fluid to flow when a force is applied.
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.
Radial Distance - (Measured in Meter) - Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
Radial Distance: 9.2 Meter --> 9.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

VG = (1/(2*μ))*dp|dr*d_radial --> (1/(2*1.02))*17*9.2

Evaluating ... ...

VG = 76.6666666666666

STEP 3: Convert Result to Output's Unit

76.6666666666666 Meter per Second --> No Conversion Required

FINAL ANSWER

76.6666666666666 ≈ 76.66667 Meter per Second <-- Velocity Gradient

(Calculation completed in 00.004 seconds)

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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

Velocity Gradient given Pressure Gradient at Cylindrical Element Formula

Velocity Gradient = (1/(2*Dynamic Viscosity))*Pressure Gradient*Radial Distance
VG = (1/(2*μ))*dp|dr*d_radial

What is Velocity Gradient ?

The difference in velocity between adjacent layers of the fluid is known as a velocity gradient and is given by v/x, where v is the velocity difference and x is the distance between the layers.

How to Calculate Velocity Gradient given Pressure Gradient at Cylindrical Element?

Velocity Gradient given Pressure Gradient at Cylindrical Element calculator uses Velocity Gradient = (1/(2*Dynamic Viscosity))*Pressure Gradient*Radial Distance to calculate the Velocity Gradient, The Velocity Gradient given Pressure Gradient at Cylindrical Element is defined as variation of velocity with respect to radius of pipe. Velocity Gradient is denoted by VG symbol.

How to calculate Velocity Gradient given Pressure Gradient at Cylindrical Element using this online calculator? To use this online calculator for Velocity Gradient given Pressure Gradient at Cylindrical Element, enter Dynamic Viscosity (μ), Pressure Gradient (dp|dr) & Radial Distance (d_radial) and hit the calculate button. Here is how the Velocity Gradient given Pressure Gradient at Cylindrical Element calculation can be explained with given input values -> 76.66667 = (1/(2*1.02))*17*9.2.

FAQ

What is Velocity Gradient given Pressure Gradient at Cylindrical Element?

The Velocity Gradient given Pressure Gradient at Cylindrical Element is defined as variation of velocity with respect to radius of pipe and is represented as VG = (1/(2*μ))*dp|dr*d_radial or Velocity Gradient = (1/(2*Dynamic Viscosity))*Pressure Gradient*Radial Distance. The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, 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 & Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.

How to calculate Velocity Gradient given Pressure Gradient at Cylindrical Element?

The Velocity Gradient given Pressure Gradient at Cylindrical Element is defined as variation of velocity with respect to radius of pipe is calculated using Velocity Gradient = (1/(2*Dynamic Viscosity))*Pressure Gradient*Radial Distance. To calculate Velocity Gradient given Pressure Gradient at Cylindrical Element, you need Dynamic Viscosity (μ), Pressure Gradient (dp|dr) & Radial Distance (d_radial). With our tool, you need to enter the respective value for Dynamic Viscosity, Pressure Gradient & Radial Distance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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