Boundary layer thickness on vertical surfaces Calculator

✖Distance From Point to YY Axis is the distance from the point to the YY axis where stress is to be computed.ⓘ Distance From Point to YY Axis [x]			+10% -10%
✖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.ⓘ Prandtl Number [Pr]			+10% -10%
✖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.ⓘ Local Grashof Number [Gr_x]			+10% -10%

✖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.ⓘ Boundary layer thickness on vertical surfaces [d_x]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Free convection Formula PDF PDF Image

Boundary layer thickness on vertical surfaces Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
d_x = 3.93*x*Pr^(-0.5)*(0.952+Pr)^0.25*Gr_x^(-0.25)
This formula uses 4 Variables

Variables Used

Boundary Layer Thickness - (Measured in Meter) - 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.
Distance From Point to YY Axis - (Measured in Meter) - Distance From Point to YY Axis is the distance from the point to the YY axis where stress is to be computed.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Distance From Point to YY Axis: 1.5 Meter --> 1.5 Meter No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
Local Grashof Number: 8000 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_x = 3.93*x*Pr^(-0.5)*(0.952+Pr)^0.25*Gr_x^(-0.25) --> 3.93*1.5*0.7^(-0.5)*(0.952+0.7)^0.25*8000^(-0.25)

Evaluating ... ...

d_x = 0.844626694891855

STEP 3: Convert Result to Output's Unit

0.844626694891855 Meter --> No Conversion Required

FINAL ANSWER

0.844626694891855 ≈ 0.844627 Meter <-- Boundary Layer Thickness

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Heat and Mass Transfer » Convection » Free convection » Mechanical » Convective Flow Over Cylinder and Sphere » Boundary layer thickness on vertical surfaces

Credits

Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Calculator and 500+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< Convective Flow Over Cylinder and Sphere Calculators

Outside surface temperature for annular space between concentric cylinders

LaTeX Go Outside Temperature = Inside Temperature-(Heat Transfer Per Unit Length*(ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity))

Inside surface temperature for annular space between concentric cylinders

LaTeX Go Inside Temperature = (Heat Transfer Per Unit Length*(ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity))+Outside Temperature

Boundary layer thickness on vertical surfaces

LaTeX Go 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)

Convective mass transfer coefficient at distance X from leading edge

LaTeX Go Convective Mass Transfer Coefficient = (2*Thermal Conductivity)/Boundary Layer Thickness

Boundary layer thickness on vertical surfaces Formula

LaTeX Go

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)
d_x = 3.93*x*Pr^(-0.5)*(0.952+Pr)^0.25*Gr_x^(-0.25)

What is convection?

Convection is the process of heat transfer by the bulk movement of molecules within fluids such as gases and liquids. The initial heat transfer between the object and the fluid takes place through conduction, but the bulk heat transfer happens due to the motion of the fluid.
Convection is the process of heat transfer in fluids by the actual motion of matter.
It happens in liquids and gases.
It may be natural or forced.
It involves a bulk transfer of portions of the fluid.

How to Calculate Boundary layer thickness on vertical surfaces?

Boundary layer thickness on vertical surfaces calculator 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 calculate 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 calculate Boundary layer thickness on vertical surfaces using this online calculator? To use this online calculator 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. Here is how the Boundary layer thickness on vertical surfaces calculation can be explained with given input values -> 0.844627 = 3.93*1.5*0.7^(-0.5)*(0.952+0.7)^0.25*8000^(-0.25).

FAQ

What is Boundary layer thickness on vertical surfaces?

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 and is represented as d_x = 3.93*x*Pr^(-0.5)*(0.952+Pr)^0.25*Gr_x^(-0.25) or 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). Distance From Point to YY Axis is the distance from the point to the YY axis where stress is to be computed, 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 & 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.

How to calculate Boundary layer thickness on vertical surfaces?

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 is calculated using 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 calculate Boundary layer thickness on vertical surfaces, you need Distance From Point to YY Axis (x), Prandtl Number (Pr) & Local Grashof Number (Gr_x). With our tool, you need to enter the respective value for Distance From Point to YY Axis, Prandtl Number & Local Grashof Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search