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Mean velocity in terms of shear velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
mean_velocity = Centreline velocity-(3.75*Shear Velocity)
V = umax-(3.75*V*)
This formula uses 2 Variables
Variables Used
Centreline velocity - Centreline velocity is defined as the maximum velocity in the pipe, so it is, most of the time, larger than the average velocity. (Measured in Meter per Second)
Shear Velocity - Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity. (Measured in Meter per Second)
STEP 1: Convert Input(s) to Base Unit
Centreline velocity: 5 Meter per Second --> 5 Meter per Second No Conversion Required
Shear Velocity: 10 Meter per Second --> 10 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = umax-(3.75*V*) --> 5-(3.75*10)
Evaluating ... ...
V = -32.5
STEP 3: Convert Result to Output's Unit
-32.5 Meter per Second --> No Conversion Required
FINAL ANSWER
-32.5 Meter per Second <-- Mean velocity
(Calculation completed in 00.000 seconds)

10+ Turbulent flow Calculators

Head loss due to friction for power required and discharge in turbulent flow
head_loss_due_to_friction = (Power*1000)/(Density of Fluid*[g]*Discharge) Go
Discharge through pipe for power required and head loss in turbulent flow
discharge = (Power*1000)/(Density of Fluid*[g]*Head loss due to friction) Go
Power required to maintain the turbulent flow
power = (Density of Fluid*[g]*Discharge*Head loss due to friction)/1000 Go
Average height of irregularities for turbulent flow in pipes
average_height_irregularities = (Roughness reynold number*Kinematic viscosity)/Shear Velocity Go
Roughness Reynold number for turbulent flow in pipes
roughness_reynold_number = (Shear Velocity*Average height irregularities)/Kinematic viscosity Go
Shear stress in turbulent flow
shear_stress = (Friction factor*Density of Fluid*Velocity^2)/2 Go
Shear velocity for turbulent flow in pipes
shear_velocity = sqrt(Shear Stress/Density of Fluid) Go
Boundary layer thickness of laminar sublayer
boundary_layer_thickness = (11.6*Kinematic viscosity)/(Shear Velocity) Go
Shear stress due to viscosity
shear_stress = (Dynamic viscosity*Change in Velocity) Go
Shear stress developed for turbulent flow in pipes
shear_stress = (Shear Velocity^2)*Density of Fluid Go

Mean velocity in terms of shear velocity Formula

mean_velocity = Centreline velocity-(3.75*Shear Velocity)
V = umax-(3.75*V*)

What is meant by flow velocity?

Flow velocity is the vector field that is used to describe fluid motion in a mathematical manner. The entire length of the flow velocity is referred to as the flow speed. Flow velocity in fluids is the vector field that provides the velocity of fluids at a certain time and position.

What is the meaning of mean velocity?

The time average of the velocity of a fluid at a fixed point, over a somewhat arbitrary time interval T, counted from some fixed time t0.

How to Calculate Mean velocity in terms of shear velocity?

Mean velocity in terms of shear velocity calculator uses mean_velocity = Centreline velocity-(3.75*Shear Velocity) to calculate the Mean velocity, The Mean velocity in terms of shear velocity formula is defined as the velocity of a fluid at a fixed point, over a somewhat arbitrary time interval counted from some fixed time. Mean velocity is denoted by V symbol.

How to calculate Mean velocity in terms of shear velocity using this online calculator? To use this online calculator for Mean velocity in terms of shear velocity, enter Centreline velocity (umax) & Shear Velocity (V*) and hit the calculate button. Here is how the Mean velocity in terms of shear velocity calculation can be explained with given input values -> -32.5 = 5-(3.75*10).

FAQ

What is Mean velocity in terms of shear velocity?
The Mean velocity in terms of shear velocity formula is defined as the velocity of a fluid at a fixed point, over a somewhat arbitrary time interval counted from some fixed time and is represented as V = umax-(3.75*V*) or mean_velocity = Centreline velocity-(3.75*Shear Velocity). Centreline velocity is defined as the maximum velocity in the pipe, so it is, most of the time, larger than the average velocity & Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity.
How to calculate Mean velocity in terms of shear velocity?
The Mean velocity in terms of shear velocity formula is defined as the velocity of a fluid at a fixed point, over a somewhat arbitrary time interval counted from some fixed time is calculated using mean_velocity = Centreline velocity-(3.75*Shear Velocity). To calculate Mean velocity in terms of shear velocity, you need Centreline velocity (umax) & Shear Velocity (V*). With our tool, you need to enter the respective value for Centreline velocity & Shear 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 Centreline velocity & Shear Velocity. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • shear_stress = (Shear Velocity^2)*Density of Fluid
  • average_height_irregularities = (Roughness reynold number*Kinematic viscosity)/Shear Velocity
  • power = (Density of Fluid*[g]*Discharge*Head loss due to friction)/1000
  • roughness_reynold_number = (Shear Velocity*Average height irregularities)/Kinematic viscosity
  • shear_velocity = sqrt(Shear Stress/Density of Fluid)
  • head_loss_due_to_friction = (Power*1000)/(Density of Fluid*[g]*Discharge)
  • discharge = (Power*1000)/(Density of Fluid*[g]*Head loss due to friction)
  • boundary_layer_thickness = (11.6*Kinematic viscosity)/(Shear Velocity)
  • shear_stress = (Friction factor*Density of Fluid*Velocity^2)/2
  • shear_stress = (Dynamic viscosity*Change in Velocity)
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