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Boundary layer thickness on vertical surfaces Formula

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Boundary Layer Thickness is defined as the distance from the solid body to the point at which the viscous flow velocity is 99% of the freestream velocity. Check FAQs

d x = 3.93 \cdot x \cdot {Pr}^{- 0.5} \cdot {(0.952 + Pr)}^{0.25} \cdot {Gr x}^{- 0.25}

d_x - Boundary Layer Thickness?x - Distance From Point to YY Axis?Pr - Prandtl Number?Gr_x - Local Grashof Number?

Boundary layer thickness on vertical surfaces Example

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Here is how the Boundary layer thickness on vertical surfaces equation looks like with Values.

Here is how the Boundary layer thickness on vertical surfaces equation looks like with Units.

Here is how the Boundary layer thickness on vertical surfaces equation looks like.

0.8446 = 3.93 \cdot 1.5 \cdot {0.7}^{- 0.5} \cdot {(0.952 + 0.7)}^{0.25} \cdot 8000^{- 0.25}

0.8446m = 3.93 \cdot 1.5m \cdot {0.7}^{- 0.5} \cdot {(0.952 + 0.7)}^{0.25} \cdot 8000^{- 0.25}

0.8446 = 3.93 \cdot 1.5 \cdot {0.7}^{- 0.5} \cdot {(0.952 + 0.7)}^{0.25} \cdot 8000^{- 0.25}

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Boundary layer thickness on vertical surfaces Solution

Follow our step by step solution on how to calculate Boundary layer thickness on vertical surfaces?

FIRST Step Consider the formula

d x = 3.93 \cdot x \cdot {Pr}^{- 0.5} \cdot {(0.952 + Pr)}^{0.25} \cdot {Gr x}^{- 0.25}

Next Step Substitute values of Variables

∴

d x = 3.93 \cdot 1.5m \cdot {0.7}^{- 0.5} \cdot {(0.952 + 0.7)}^{0.25} \cdot 8000^{- 0.25}

Next Step Prepare to Evaluate

∴

d x = 3.93 \cdot 1.5 \cdot {0.7}^{- 0.5} \cdot {(0.952 + 0.7)}^{0.25} \cdot 8000^{- 0.25}

Next Step Evaluate

∴

d x = 0.844626694891855m

LAST Step Rounding Answer

∴

d x = 0.8446m

Boundary layer thickness on vertical surfaces Formula Elements

Variables

Boundary Layer Thickness

Boundary Layer Thickness is defined as the distance from the solid body to the point at which the viscous flow velocity is 99% of the freestream velocity.

Symbol: d_x

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Boundary Layer Thickness

Distance From Point to YY Axis

Distance From Point to YY Axis is the distance from the point to the YY axis where stress is to be computed.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance From Point to YY Axis

Prandtl Number

Prandtl Number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.

Symbol: Pr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Prandtl Number

Local Grashof Number

Local Grashof Number is a dimensionless number in fluid dynamics and heat transfer which approximates the ratio of the buoyancy to viscous force acting on a fluid.

Symbol: Gr_x

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Local Grashof Number

Other formulas in Convective Flow Over Cylinder and Sphere category

Go Convective mass transfer coefficient at distance X from leading edge

k L = \frac{2 \cdot k e}{d x}

Go Inside surface temperature for annular space between concentric cylinders

t i = (e' \cdot \frac{\ln (\frac{D o}{D i})}{2 \cdot π \cdot k e}) + t o

Go Outside surface temperature for annular space between concentric cylinders

t o = t i - (e' \cdot \frac{\ln (\frac{D o}{D i})}{2 \cdot π \cdot k e})

Go Thermal conductivity of fluid

k e = \frac{0.386 \cdot k 0}{(\frac{Pr}{{(0.861 + Pr)}^{0.25}}) \cdot {R a}^{0.25}}

How to Evaluate Boundary layer thickness on vertical surfaces?

Boundary layer thickness on vertical surfaces evaluator uses Boundary Layer Thickness = 3.93*Distance From Point to YY Axis*Prandtl Number^(-0.5)*(0.952+Prandtl Number)^0.25*Local Grashof Number^(-0.25) to evaluate the Boundary Layer Thickness, The Boundary layer thickness on vertical surfaces formula is defined as the distance from the solid body to the point at which the viscous flow velocity is 99% of the freestream velocity. Boundary Layer Thickness is denoted by d_x symbol.

How to evaluate Boundary layer thickness on vertical surfaces using this online evaluator? To use this online evaluator for Boundary layer thickness on vertical surfaces, enter Distance From Point to YY Axis (x), Prandtl Number (Pr) & Local Grashof Number (Gr_x) and hit the calculate button.

FAQs on Boundary layer thickness on vertical surfaces

What is the formula to find Boundary layer thickness on vertical surfaces?

The formula of Boundary layer thickness on vertical surfaces is expressed as Boundary Layer Thickness = 3.93*Distance From Point to YY Axis*Prandtl Number^(-0.5)*(0.952+Prandtl Number)^0.25*Local Grashof Number^(-0.25). Here is an example- 0.844627 = 3.93*1.5*0.7^(-0.5)*(0.952+0.7)^0.25*8000^(-0.25).

How to calculate Boundary layer thickness on vertical surfaces?

With Distance From Point to YY Axis (x), Prandtl Number (Pr) & Local Grashof Number (Gr_x) we can find Boundary layer thickness on vertical surfaces using the formula - Boundary Layer Thickness = 3.93*Distance From Point to YY Axis*Prandtl Number^(-0.5)*(0.952+Prandtl Number)^0.25*Local Grashof Number^(-0.25).

Can the Boundary layer thickness on vertical surfaces be negative?

Yes, the Boundary layer thickness on vertical surfaces, measured in Length can be negative.

Which unit is used to measure Boundary layer thickness on vertical surfaces?

Boundary layer thickness on vertical surfaces is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Boundary layer thickness on vertical surfaces can be measured.

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