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velagapudi ramakrishna siddhartha engineering college (vr siddhartha engineering college), vijayawada
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National Institute Of Technology (NIT), Hamirpur
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Centreline velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Centreline_velocity = (Mean velocity*1.43*sqrt(Friction factor+1))
umax = (V*1.43*sqrt(f+1))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Mean velocity - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T. (Measured in Meter per Second)
Friction factor- The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.
STEP 1: Convert Input(s) to Base Unit
Mean velocity: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Friction factor: 1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
umax = (V*1.43*sqrt(f+1)) --> (10*1.43*sqrt(1+1))
Evaluating ... ...
umax = 20.2232539419353
STEP 3: Convert Result to Output's Unit
20.2232539419353 Meter per Second --> No Conversion Required
FINAL ANSWER
20.2232539419353 Meter per Second <-- Centreline velocity
(Calculation completed in 00.015 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

Centreline velocity Formula

Centreline_velocity = (Mean velocity*1.43*sqrt(Friction factor+1))
umax = (V*1.43*sqrt(f+1))

What is Centreline velocity ?

Center-line velocity is usually the maximum velocity in the pipe, so it is, most of the time, larger than the average velocity.

Does turbulence increase with velocity?

As can be seen in this equation, Re increases as velocity increases and decreases as viscosity increases. Therefore, high velocities and low blood viscosity are more likely to cause turbulence.

How to Calculate Centreline velocity?

Centreline velocity calculator uses Centreline_velocity = (Mean velocity*1.43*sqrt(Friction factor+1)) to calculate the Centreline velocity, The Centreline velocity formula is defined as the maximum velocity in the pipe. Centreline velocity is denoted by umax symbol.

How to calculate Centreline velocity using this online calculator? To use this online calculator for Centreline velocity, enter Mean velocity (V) & Friction factor (f) and hit the calculate button. Here is how the Centreline velocity calculation can be explained with given input values -> 20.22325 = (10*1.43*sqrt(1+1)).

FAQ

What is Centreline velocity?
The Centreline velocity formula is defined as the maximum velocity in the pipe and is represented as umax = (V*1.43*sqrt(f+1)) or Centreline_velocity = (Mean velocity*1.43*sqrt(Friction factor+1)). Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T & The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.
How to calculate Centreline velocity?
The Centreline velocity formula is defined as the maximum velocity in the pipe is calculated using Centreline_velocity = (Mean velocity*1.43*sqrt(Friction factor+1)). To calculate Centreline velocity, you need Mean velocity (V) & Friction factor (f). With our tool, you need to enter the respective value for Mean velocity & Friction factor 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 Centreline velocity?
In this formula, Centreline velocity uses Mean velocity & Friction factor. 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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