Mean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Velocity = 0.5*Maximum Velocity
Vmean = 0.5*Vmax
This formula uses 2 Variables
Variables Used
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.
Maximum Velocity - (Measured in Meter per Second) - Maximum Velocity is the rate of change of its position with respect to a frame of reference, and is a function of time.
STEP 1: Convert Input(s) to Base Unit
Maximum Velocity: 18.6 Meter per Second --> 18.6 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vmean = 0.5*Vmax --> 0.5*18.6
Evaluating ... ...
Vmean = 9.3
STEP 3: Convert Result to Output's Unit
9.3 Meter per Second --> No Conversion Required
FINAL ANSWER
9.3 Meter per Second <-- Mean Velocity
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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12 Steady Laminar Flow in Circular Pipes – Hagen Poiseuille Law Calculators

Distance of Element from Center Line given Velocity at any point in Cylindrical Element
Go Radial Distance = sqrt((Pipe Radius^2)-(-4*Dynamic Viscosity*Fluid Velocity in Pipe/Pressure Gradient))
Velocity at any point in Cylindrical Element
Go Fluid Velocity in Pipe = -(1/(4*Dynamic Viscosity))*Pressure Gradient*((Pipe Radius^2)-(Radial Distance^2))
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)
Discharge through Pipe given Pressure Gradient
Go Discharge in pipe = (pi/(8*Dynamic Viscosity))*(Pipe Radius^4)*Pressure Gradient
Velocity Gradient given Pressure Gradient at Cylindrical Element
Go Velocity Gradient = (1/(2*Dynamic Viscosity))*Pressure Gradient*Radial Distance
Distance of Element from Center Line given Velocity Gradient at Cylindrical Element
Go Radial Distance = 2*Dynamic Viscosity*Velocity Gradient/Pressure Gradient
Mean Velocity of Fluid Flow
Go Mean Velocity = (1/(8*Dynamic Viscosity))*Pressure Gradient*Pipe Radius^2
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
Mean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element
Go Mean Velocity = 0.5*Maximum Velocity
Maximum Velocity at Axis of Cylindrical Element given Mean Velocity of Flow
Go Maximum Velocity = 2*Mean Velocity

Mean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element Formula

Mean Velocity = 0.5*Maximum Velocity
Vmean = 0.5*Vmax

What is Average Velocity ?

The average velocity of an object is its total displacement divided by the total time taken. In other words, it is the rate at which an object changes its position from one place to another. Average velocity is a vector quantity.

How to Calculate Mean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element?

Mean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element calculator uses Mean Velocity = 0.5*Maximum Velocity to calculate the Mean Velocity, The Mean Velocity of Flow given Maximum Velocity at axis of Cylindrical Element is defined as the average velocity of flow in the entire pipe. Mean Velocity is denoted by Vmean symbol.

How to calculate Mean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element using this online calculator? To use this online calculator for Mean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element, enter Maximum Velocity (Vmax) and hit the calculate button. Here is how the Mean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element calculation can be explained with given input values -> 9.3 = 0.5*18.6.

FAQ

What is Mean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element?
The Mean Velocity of Flow given Maximum Velocity at axis of Cylindrical Element is defined as the average velocity of flow in the entire pipe and is represented as Vmean = 0.5*Vmax or Mean Velocity = 0.5*Maximum Velocity. Maximum Velocity is the rate of change of its position with respect to a frame of reference, and is a function of time.
How to calculate Mean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element?
The Mean Velocity of Flow given Maximum Velocity at axis of Cylindrical Element is defined as the average velocity of flow in the entire pipe is calculated using Mean Velocity = 0.5*Maximum Velocity. To calculate Mean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element, you need Maximum Velocity (Vmax). With our tool, you need to enter the respective value for Maximum Velocity 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 Mean Velocity?
In this formula, Mean Velocity uses Maximum Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Mean Velocity = (1/(8*Dynamic Viscosity))*Pressure Gradient*Pipe Radius^2
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