Velocity at any point in 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%
✖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 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.ⓘ Radial Distance [d_radial]			+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).ⓘ Velocity at any point in Cylindrical Element [v_Fluid]

⎘ Copy

👎

Formula

✖

Velocity at any point in Cylindrical Element

Formula

v Fluid = - (\frac{1}{4 \cdot μ}) \cdot dp|dr \cdot ((R^{2}) - ({d radial}^{2}))

Example

352.5873 m/s = - (\frac{1}{4 \cdot 10.2 P}) \cdot 17 N/m³ \cdot (({138 mm}^{2}) - ({9.2 m}^{2}))

Calculator

LaTeX

Reset

👍

Download Laminar Flow Formula PDF PDF Image

Velocity at any point in Cylindrical Element Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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).
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.
Radius of pipe - (Measured in Meter) - The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.
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.

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
Radius of pipe: 138 Millimeter --> 0.138 Meter (Check conversion here)
Radial Distance: 9.2 Meter --> 9.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_Fluid = -(1/(4*μ))*dp|dr*((R^2)-(d_radial^2)) --> -(1/(4*1.02))*17*((0.138^2)-(9.2^2))

Evaluating ... ...

v_Fluid = 352.587316666667

STEP 3: Convert Result to Output's Unit

352.587316666667 Meter per Second --> No Conversion Required

FINAL ANSWER

352.587316666667 ≈ 352.5873 Meter per Second <-- Fluid Velocity

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Steady Laminar Flow in Circular Pipes » Velocity at any point in Cylindrical Element

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< Steady Laminar Flow in Circular Pipes 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 at any point in Cylindrical Element Formula

Fluid Velocity = -(1/(4*Dynamic Viscosity))*Pressure Gradient*((Radius of pipe^2)-(Radial Distance^2))
v_Fluid = -(1/(4*μ))*dp|dr*((R^2)-(d_radial^2))

What is Hagen Poiseuille Law ?

Velocity of the steady flow of a fluid through a narrow tube (as a blood vessel or a catheter) varies directly as the pressure and the fourth power of the radius of the tube and inversely as the length of the tube and the coefficient of viscosity.

How to Calculate Velocity at any point in Cylindrical Element?

Velocity at any point in Cylindrical Element calculator uses Fluid Velocity = -(1/(4*Dynamic Viscosity))*Pressure Gradient*((Radius of pipe^2)-(Radial Distance^2)) to calculate the Fluid Velocity, The Velocity at any point in Cylindrical Element formula is defined as rate at which fluid into the pipe forming a parabolic profile. Fluid Velocity is denoted by v_Fluid symbol.

How to calculate Velocity at any point in Cylindrical Element using this online calculator? To use this online calculator for Velocity at any point in Cylindrical Element, enter Dynamic Viscosity (μ), Pressure Gradient (dp|dr), Radius of pipe (R) & Radial Distance (d_radial) and hit the calculate button. Here is how the Velocity at any point in Cylindrical Element calculation can be explained with given input values -> 352.5873 = -(1/(4*1.02))*17*((0.138^2)-(9.2^2)).

FAQ

What is Velocity at any point in Cylindrical Element?

The Velocity at any point in Cylindrical Element formula is defined as rate at which fluid into the pipe forming a parabolic profile and is represented as v_Fluid = -(1/(4*μ))*dp|dr*((R^2)-(d_radial^2)) or Fluid Velocity = -(1/(4*Dynamic Viscosity))*Pressure Gradient*((Radius of pipe^2)-(Radial Distance^2)). 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, The Radius of Pipe refers to the distance from the center of the pipe to its inner wall & 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.

How to calculate Velocity at any point in Cylindrical Element?

The Velocity at any point in Cylindrical Element formula is defined as rate at which fluid into the pipe forming a parabolic profile is calculated using Fluid Velocity = -(1/(4*Dynamic Viscosity))*Pressure Gradient*((Radius of pipe^2)-(Radial Distance^2)). To calculate Velocity at any point in Cylindrical Element, you need Dynamic Viscosity (μ), Pressure Gradient (dp|dr), Radius of pipe (R) & Radial Distance (d_radial). With our tool, you need to enter the respective value for Dynamic Viscosity, Pressure Gradient, Radius of pipe & Radial Distance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search