Flow Velocity of Section Calculator

✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity [V_mean]			+10% -10%
✖Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance [R]			+10% -10%
✖Width is the measurement or extent of something from side to side.ⓘ Width [w]			+10% -10%
✖Pressure Gradient is the change in pressure with respect to radial distance of element.ⓘ Pressure Gradient [dp\|dr]			+10% -10%
✖Distance between plates is the length of the space between two points.ⓘ Distance between plates [D]			+10% -10%
✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%

✖Flow Velocity is the velocity of the flow of any fluid.ⓘ Flow Velocity of Section [V_f]

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Formula

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Flow Velocity of Section

Formula

`"V"_{"f"} = ("V"_{"mean"}*"R"/"w")-(0.5*"dp|dr"*("D"*"R"-"R"^2))/"μ"_{"viscosity"}`

Example

`"54.30859m/s"=("10.1m/s"*"04m"/"2.29m")-(0.5*"17N/m³"*("2.9"*"04m"-("04m")^2))/"10.2P"`

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Download Laminar Flow Formula PDF

Flow Velocity of Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Flow velocity = (Mean Velocity*Horizontal Distance/Width)-(0.5*Pressure Gradient*(Distance between plates*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity
V_f = (V_mean*R/w)-(0.5*dp|dr*(D*R-R^2))/μ_viscosity
This formula uses 7 Variables

Variables Used

Flow velocity - (Measured in Meter per Second) - Flow Velocity is the velocity of the flow of any fluid.
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Horizontal Distance - (Measured in Meter) - Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.
Distance between plates - Distance between plates is the length of the space between two points.
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.

STEP 1: Convert Input(s) to Base Unit

Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Horizontal Distance: 4 Meter --> 4 Meter No Conversion Required
Width: 2.29 Meter --> 2.29 Meter No Conversion Required
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
Distance between plates: 2.9 --> No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_f = (V_mean*R/w)-(0.5*dp|dr*(D*R-R^2))/μ_viscosity --> (10.1*4/2.29)-(0.5*17*(2.9*4-4^2))/1.02

Evaluating ... ...

V_f = 54.3085880640466

STEP 3: Convert Result to Output's Unit

54.3085880640466 Meter per Second --> No Conversion Required

FINAL ANSWER

54.3085880640466 ≈ 54.30859 Meter per Second <-- Flow velocity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Laminar Flow between Parallel Flat Plates, one plate moving and other at rest, Couette Flow » Flow Velocity of Section

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 12 Laminar Flow between Parallel Flat Plates, one plate moving and other at rest, Couette Flow Calculators

Dynamic Viscosity given Flow Velocity

Go Dynamic Viscosity = ((0.5*Pressure Gradient*(Distance between plates*Horizontal Distance-Horizontal Distance^2)))/((Mean Velocity*Horizontal Distance/Width)-Flow velocity)

Flow Velocity of Section

Go Flow velocity = (Mean Velocity*Horizontal Distance/Width)-(0.5*Pressure Gradient*(Distance between plates*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity

Pressure Gradient given Flow Velocity

Go Pressure Gradient = ((Mean Velocity*Horizontal Distance/Width)-Flow velocity)/(((0.5*(Width*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity))

Mean Velocity of Flow given Flow Velocity

Go Flow velocity = (Mean Velocity*Horizontal Distance/Width)-(0.5*Pressure Gradient*(Width*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity

Mean Velocity of Flow given Shear Stress

Go Mean Velocity = (Shear Stress+Pressure Gradient*(0.5*Distance between plates-Horizontal Distance))*(Distance between plates/Dynamic Viscosity)

Pressure Gradient given Shear Stress

Go Pressure Gradient = ((Dynamic Viscosity*Mean Velocity/Distance between plates)-Shear Stress)/(0.5*Distance between plates-Horizontal Distance)

Shear Stress given Velocity

Go Shear Stress = (Dynamic Viscosity*Mean Velocity/Distance between plates)-Pressure Gradient*(0.5*Distance between plates-Horizontal Distance)

Dynamic Viscosity given Stress

Go Dynamic Viscosity = (Shear Stress+Pressure Gradient*(0.5*Distance between plates-Horizontal Distance))*(Width/Mean Velocity)

Distance between Plates given Flow Velocity with No Pressure Gradient

Go Distance between plates = Mean Velocity*Horizontal Distance/Flow velocity

Horizontal Distance given Flow Velocity with No Pressure Gradient

Go Horizontal Distance = Flow velocity*Width/Mean Velocity

Mean Velocity of Flow given Flow Velocity with No Pressure Gradient

Go Mean Velocity = Distance between plates*Horizontal Distance

Flow Velocity given No Pressure Gradient

Go Flow velocity = (Mean Velocity*Horizontal Distance)

Flow Velocity of Section Formula

What is Laminar Flow?

Laminar flow is characterized by fluid particles following smooth paths in layers, with each layer moving smoothly past the adjacent layers with little or no mixing. At low velocities, the fluid tends to flow without lateral mixing, and adjacent layers slide past one another like playing cards.

How to Calculate Flow Velocity of Section?

Flow Velocity of Section calculator uses Flow velocity = (Mean Velocity*Horizontal Distance/Width)-(0.5*Pressure Gradient*(Distance between plates*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity to calculate the Flow velocity, The Flow Velocity of Section is defined as the velocity of fluid in the pipe through a particular section at the stream in laminar flow. Flow velocity is denoted by V_f symbol.

How to calculate Flow Velocity of Section using this online calculator? To use this online calculator for Flow Velocity of Section, enter Mean Velocity (V_mean), Horizontal Distance (R), Width (w), Pressure Gradient (dp|dr), Distance between plates (D) & Dynamic Viscosity (μ_viscosity) and hit the calculate button. Here is how the Flow Velocity of Section calculation can be explained with given input values -> 50.13333 = (10.1*4/2.29)-(0.5*17*(2.9*4-4^2))/1.02.

FAQ

What is Flow Velocity of Section?

The Flow Velocity of Section is defined as the velocity of fluid in the pipe through a particular section at the stream in laminar flow and is represented as V_f = (V_mean*R/w)-(0.5*dp|dr*(D*R-R^2))/μ_viscosity or Flow velocity = (Mean Velocity*Horizontal Distance/Width)-(0.5*Pressure Gradient*(Distance between plates*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity. Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T, Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion, Width is the measurement or extent of something from side to side, Pressure Gradient is the change in pressure with respect to radial distance of element, Distance between plates is the length of the space between two points & The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

How to calculate Flow Velocity of Section?

The Flow Velocity of Section is defined as the velocity of fluid in the pipe through a particular section at the stream in laminar flow is calculated using Flow velocity = (Mean Velocity*Horizontal Distance/Width)-(0.5*Pressure Gradient*(Distance between plates*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity. To calculate Flow Velocity of Section, you need Mean Velocity (V_mean), Horizontal Distance (R), Width (w), Pressure Gradient (dp|dr), Distance between plates (D) & Dynamic Viscosity (μ_viscosity). With our tool, you need to enter the respective value for Mean Velocity, Horizontal Distance, Width, Pressure Gradient, Distance between plates & Dynamic Viscosity 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 Flow velocity?

In this formula, Flow velocity uses Mean Velocity, Horizontal Distance, Width, Pressure Gradient, Distance between plates & Dynamic Viscosity. We can use 2 other way(s) to calculate the same, which is/are as follows -

Flow velocity = (Mean Velocity*Horizontal Distance/Width)-(0.5*Pressure Gradient*(Width*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity
Flow velocity = (Mean Velocity*Horizontal Distance)

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