Boundary Layer Thickness of Laminar Sublayer Calculator

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Kinematics of Flow

✖The kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.ⓘ Kinematic Viscosity [v']			+10% -10%
✖Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity.ⓘ Shear Velocity [V_']			+10% -10%

✖Boundary layer thickness is the distance normal to the wall to a point where the flow velocity has essentially reached the 'asymptotic' velocity.ⓘ Boundary Layer Thickness of Laminar Sublayer [δ]

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Formula

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Boundary Layer Thickness of Laminar Sublayer

Formula

`"δ" = (11.6*"v'")/("V"_{"'"})`

Example

`"0.001402m"=(11.6*"7.25St")/("6m/s")`

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Boundary Layer Thickness of Laminar Sublayer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Boundary Layer Thickness = (11.6*Kinematic Viscosity)/(Shear Velocity)
δ = (11.6*v')/(V_')
This formula uses 3 Variables

Variables Used

Boundary Layer Thickness - (Measured in Meter) - Boundary layer thickness is the distance normal to the wall to a point where the flow velocity has essentially reached the 'asymptotic' velocity.
Kinematic Viscosity - (Measured in Square Meter per Second) - The kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.
Shear Velocity - (Measured in Meter per Second) - Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity.

STEP 1: Convert Input(s) to Base Unit

Kinematic Viscosity: 7.25 Stokes --> 0.000725 Square Meter per Second (Check conversion here)
Shear Velocity: 6 Meter per Second --> 6 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = (11.6*v')/(V_') --> (11.6*0.000725)/(6)

Evaluating ... ...

δ = 0.00140166666666667

STEP 3: Convert Result to Output's Unit

0.00140166666666667 Meter --> No Conversion Required

FINAL ANSWER

0.00140166666666667 ≈ 0.001402 Meter <-- Boundary Layer Thickness

(Calculation completed in 00.020 seconds)

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< 18 Turbulent Flow Calculators

Head Loss due to Friction given Power Required in Turbulent Flow

Go Head Loss Due to Friction = Power/(Density of Fluid*[g]*Discharge)

Discharge through Pipe given Head Loss in Turbulent Flow

Go Discharge = Power/(Density of Fluid*[g]*Head Loss Due to Friction)

Power Required to Maintain Turbulent Flow

Go Power = Density of Fluid*[g]*Discharge*Head Loss Due to Friction

Average Height of Irregularities for Turbulent Flow in Pipes

Go Average Height Irregularities = (Kinematic Viscosity*Roughness Reynold Number)/Shear Velocity

Roughness Reynold Number for Turbulent Flow in Pipes

Go Roughness Reynold Number = (Average Height Irregularities*Shear Velocity)/Kinematic Viscosity

Mean Velocity given Centreline Velocity

Go Mean Velocity = Centreline Velocity/(1.43*sqrt(1+Friction Factor))

Centreline Velocity

Go Centreline Velocity = 1.43*Mean Velocity*sqrt(1+Friction Factor)

Shear Stress in Turbulent Flow

Go Shear Stress = (Density of Fluid*Friction Factor*Velocity^2)/2

Shear Velocity given Mean Velocity

Go Shear Velocity 1 = Mean Velocity*sqrt(Friction Factor/8)

Shear Velocity for Turbulent Flow in Pipes

Go Shear Velocity = sqrt(Shear Stress/Density of Fluid)

Boundary Layer Thickness of Laminar Sublayer

Go Boundary Layer Thickness = (11.6*Kinematic Viscosity)/(Shear Velocity)

Shear Velocity given Centreline Velocity

Go Shear Velocity 1 = (Centreline Velocity-Mean Velocity)/3.75

Centreline Velocity given Shear and Mean Velocity

Go Centreline Velocity = 3.75*Shear Velocity+Mean Velocity

Mean Velocity given Shear Velocity

Go Mean Velocity = 3.75*Shear Velocity-Centreline Velocity

Shear Stress Developed for Turbulent Flow in Pipes

Go Shear Stress = Density of Fluid*Shear Velocity^2

Shear Stress due to Viscosity

Go Shear Stress = Viscosity*Change in Velocity

Frictional Factor given Reynolds Number

Go Friction Factor = 0.0032+0.221/(Roughness Reynold Number^0.237)

Blasius Equation

Go Friction Factor = (0.316)/(Roughness Reynold Number^(1/4))

Boundary Layer Thickness of Laminar Sublayer Formula

Boundary Layer Thickness = (11.6*Kinematic Viscosity)/(Shear Velocity)
δ = (11.6*v')/(V_')

How is boundary layer thickness defined?

We define the thickness of the boundary layer as the distance from the wall to the point where the velocity is 99% of the “free stream” velocity.

What affects thickness of boundary layer?

The thermal boundary layer thickness is altered due to the presence of flow during boiling in microchannels. If the flow rates are high, the thermal boundary layer thickness is reduced.

How to Calculate Boundary Layer Thickness of Laminar Sublayer?

Boundary Layer Thickness of Laminar Sublayer calculator uses Boundary Layer Thickness = (11.6*Kinematic Viscosity)/(Shear Velocity) to calculate the Boundary Layer Thickness, The Boundary layer thickness of laminar sublayer formula is defined as the distance from the wall to the point where the velocity is 99% of the “free stream” velocity. Boundary Layer Thickness is denoted by δ symbol.

How to calculate Boundary Layer Thickness of Laminar Sublayer using this online calculator? To use this online calculator for Boundary Layer Thickness of Laminar Sublayer, enter Kinematic Viscosity (v') & Shear Velocity (V_') and hit the calculate button. Here is how the Boundary Layer Thickness of Laminar Sublayer calculation can be explained with given input values -> 0.001402 = (11.6*0.000725)/(6).

FAQ

What is Boundary Layer Thickness of Laminar Sublayer?

The Boundary layer thickness of laminar sublayer formula is defined as the distance from the wall to the point where the velocity is 99% of the “free stream” velocity and is represented as δ = (11.6*v')/(V_') or Boundary Layer Thickness = (11.6*Kinematic Viscosity)/(Shear Velocity). The kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid & 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 Boundary Layer Thickness of Laminar Sublayer?

The Boundary layer thickness of laminar sublayer formula is defined as the distance from the wall to the point where the velocity is 99% of the “free stream” velocity is calculated using Boundary Layer Thickness = (11.6*Kinematic Viscosity)/(Shear Velocity). To calculate Boundary Layer Thickness of Laminar Sublayer, you need Kinematic Viscosity (v') & Shear Velocity (V_'). With our tool, you need to enter the respective value for Kinematic Viscosity & Shear Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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