Distance of Element from Center Line given Velocity at any point in Cylindrical Element Calculator

✖The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.ⓘ Radius of pipe [R]			+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 Fluid Velocity refers to the speed at which a fluid flows through a pipe. It is typically measured in meters per second (m/s) or feet per second (ft/s).ⓘ Fluid Velocity [v_Fluid]			+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%

✖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.ⓘ Distance of Element from Center Line given Velocity at any point in Cylindrical Element [d_radial]

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Distance of Element from Center Line given Velocity at any point in Cylindrical Element Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Distance = sqrt((Radius of pipe^2)-(-4*Dynamic Viscosity*Fluid Velocity/Pressure Gradient))
d_radial = sqrt((R^2)-(-4*μ*v_Fluid/dp|dr))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Radius of pipe - (Measured in Meter) - The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Fluid Velocity - (Measured in Meter per Second) - The Fluid Velocity refers to the speed at which a fluid flows through a pipe. It is typically measured in meters per second (m/s) or feet per second (ft/s).
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

Radius of pipe: 138 Millimeter --> 0.138 Meter (Check conversion here)
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Fluid Velocity: 353 Meter per Second --> 353 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 = sqrt((R^2)-(-4*μ*v_Fluid/dp|dr)) --> sqrt((0.138^2)-(-4*1.02*353/17))

Evaluating ... ...

d_radial = 9.20538125228934

STEP 3: Convert Result to Output's Unit

9.20538125228934 Meter --> No Conversion Required

FINAL ANSWER

9.20538125228934 ≈ 9.205381 Meter <-- Radial Distance

(Calculation completed in 00.004 seconds)

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< Steady Laminar Flow in Circular Pipes Calculators

Shear Stress at any Cylindrical Element given Head Loss

LaTeX 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

LaTeX 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

LaTeX Go Radial Distance = 2*Shear Stress/Pressure Gradient

Shear Stress at any Cylindrical Element

LaTeX Go Shear Stress = Pressure Gradient*Radial Distance/2

Distance of Element from Center Line given Velocity at any point in Cylindrical Element Formula

LaTeX Go

Radial Distance = sqrt((Radius of pipe^2)-(-4*Dynamic Viscosity*Fluid Velocity/Pressure Gradient))
d_radial = sqrt((R^2)-(-4*μ*v_Fluid/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 at any point in Cylindrical Element?

Distance of Element from Center Line given Velocity at any point in Cylindrical Element calculator uses Radial Distance = sqrt((Radius of pipe^2)-(-4*Dynamic Viscosity*Fluid Velocity/Pressure Gradient)) to calculate the Radial Distance, The Distance of Element from Center Line given Velocity at any point in Cylindrical Element formula is defined as the radius of the elemental section. Radial Distance is denoted by d_radial symbol.

How to calculate Distance of Element from Center Line given Velocity at any point in Cylindrical Element using this online calculator? To use this online calculator for Distance of Element from Center Line given Velocity at any point in Cylindrical Element, enter Radius of pipe (R), Dynamic Viscosity (μ), Fluid Velocity (v_Fluid) & Pressure Gradient (dp|dr) and hit the calculate button. Here is how the Distance of Element from Center Line given Velocity at any point in Cylindrical Element calculation can be explained with given input values -> 8.486403 = sqrt((0.138^2)-(-4*1.02*353/17)).

FAQ

What is Distance of Element from Center Line given Velocity at any point in Cylindrical Element?

The Distance of Element from Center Line given Velocity at any point in Cylindrical Element formula is defined as the radius of the elemental section and is represented as d_radial = sqrt((R^2)-(-4*μ*v_Fluid/dp|dr)) or Radial Distance = sqrt((Radius of pipe^2)-(-4*Dynamic Viscosity*Fluid Velocity/Pressure Gradient)). The Radius of Pipe refers to the distance from the center of the pipe to its inner wall, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, The Fluid Velocity refers to the speed at which a fluid flows through a pipe. It is typically measured in meters per second (m/s) or feet per second (ft/s) & 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 at any point in Cylindrical Element?

The Distance of Element from Center Line given Velocity at any point in Cylindrical Element formula is defined as the radius of the elemental section is calculated using Radial Distance = sqrt((Radius of pipe^2)-(-4*Dynamic Viscosity*Fluid Velocity/Pressure Gradient)). To calculate Distance of Element from Center Line given Velocity at any point in Cylindrical Element, you need Radius of pipe (R), Dynamic Viscosity (μ), Fluid Velocity (v_Fluid) & Pressure Gradient (dp|dr). With our tool, you need to enter the respective value for Radius of pipe, Dynamic Viscosity, Fluid Velocity & 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 Radius of pipe, Dynamic Viscosity, Fluid Velocity & 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 = 2*Dynamic Viscosity*Velocity Gradient/Pressure Gradient

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