Mean Velocity of Flow given Flow Velocity 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%
✖The Width refers to the measurement or extent of something from side to side.ⓘ Width [w]			+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 Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%

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

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Mean Velocity of Flow given Flow Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Flow velocity = (Mean Velocity*Horizontal Distance/Width)-(0.5*Pressure Gradient*(Width*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity
V_f = (V_mean*R/w)-(0.5*dp|dr*(w*R-R^2))/μ
This formula uses 6 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) - The Width refers to the measurement or extent of something from side to side.
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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a 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
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*(w*R-R^2))/μ --> (10.1*4/2.29)-(0.5*17*(2.29*4-4^2))/1.02

Evaluating ... ...

V_f = 74.6419213973799

STEP 3: Convert Result to Output's Unit

74.6419213973799 Meter per Second --> No Conversion Required

FINAL ANSWER

74.6419213973799 ≈ 74.64192 Meter per Second <-- Flow velocity

(Calculation completed in 00.008 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 » Mean Velocity of Flow given Flow Velocity

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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NSS College of Engineering (NSSCE), Palakkad

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

Dynamic Viscosity given Flow Velocity

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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 Flow Velocity Formula

LaTeX Go

Flow velocity = (Mean Velocity*Horizontal Distance/Width)-(0.5*Pressure Gradient*(Width*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity
V_f = (V_mean*R/w)-(0.5*dp|dr*(w*R-R^2))/μ

What is Velocity?

The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is equivalent to a specification of an object's speed and direction of motion.

How to Calculate Mean Velocity of Flow given Flow Velocity?

Mean Velocity of Flow given Flow Velocity calculator uses Flow velocity = (Mean Velocity*Horizontal Distance/Width)-(0.5*Pressure Gradient*(Width*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity to calculate the Flow velocity, The Mean Velocity of Flow given Flow Velocity is defined as average velocity of fluid in the stream in laminar flow. Flow velocity is denoted by V_f symbol.

How to calculate Mean Velocity of Flow given Flow Velocity using this online calculator? To use this online calculator for Mean Velocity of Flow given Flow Velocity, enter Mean Velocity (V_mean), Horizontal Distance (R), Width (w), Pressure Gradient (dp|dr) & Dynamic Viscosity (μ) and hit the calculate button. Here is how the Mean Velocity of Flow given Flow Velocity calculation can be explained with given input values -> 46.8 = (10.1*4/2.29)-(0.5*17*(2.29*4-4^2))/1.02.

FAQ

What is Mean Velocity of Flow given Flow Velocity?

The Mean Velocity of Flow given Flow Velocity is defined as average velocity of fluid in the stream in laminar flow and is represented as V_f = (V_mean*R/w)-(0.5*dp|dr*(w*R-R^2))/μ or Flow velocity = (Mean Velocity*Horizontal Distance/Width)-(0.5*Pressure Gradient*(Width*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, The Width refers to the measurement or extent of something from side to side, 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 Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

How to calculate Mean Velocity of Flow given Flow Velocity?

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

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