Plate surface temperature Calculator

✖Film temperature is the temperature value of the Film.ⓘ Film temperature [Tf]			+10% -10%
✖Free stream fluid temperature is the temperature of the fluid in free stream velocity.ⓘ Free Stream Fluid Temperature [T∞]			+10% -10%

✖Plate surface temperature is the temperature at the surface of the plate.ⓘ Plate surface temperature [T_w]

⎘ Copy

👎

Formula

✖

Plate surface temperature

Formula

`"T"_{"w"} = 2*"Tf"-"T∞"`

Example

`"30°C"=2*"50°C"-"70°C"`

Calculator

LaTeX

Reset

👍

Download Heat and Mass Transfer Formula PDF

Plate surface temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Plate Surface Temperature = 2*Film temperature-Free Stream Fluid Temperature
T_w = 2*Tf-T∞
This formula uses 3 Variables

Variables Used

Plate Surface Temperature - (Measured in Kelvin) - Plate surface temperature is the temperature at the surface of the plate.
Film temperature - (Measured in Kelvin) - Film temperature is the temperature value of the Film.
Free Stream Fluid Temperature - (Measured in Kelvin) - Free stream fluid temperature is the temperature of the fluid in free stream velocity.

STEP 1: Convert Input(s) to Base Unit

Film temperature: 50 Celsius --> 323.15 Kelvin (Check conversion here)
Free Stream Fluid Temperature: 70 Celsius --> 343.15 Kelvin (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_w = 2*Tf-T∞ --> 2*323.15-343.15

Evaluating ... ...

T_w = 303.15

STEP 3: Convert Result to Output's Unit

303.15 Kelvin -->30 Celsius (Check conversion here)

FINAL ANSWER

30 Celsius <-- Plate Surface Temperature

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Heat and Mass Transfer » External flow » Flow over Flat Plate » Laminar Flow » Plate surface temperature

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!

< 15 Laminar Flow Calculators

Average temperature difference between plate and fluid

Go Average Temperature Difference = ((Heat Flux*Distance L/Thermal Conductivity))/(0.679*(Reynolds Number at Location L^0.5)*(Prandtl Number^0.333))

Free stream velocity given local friction coefficient

Go Free Stream Velocity = sqrt((2*Wall Shear Stress)/(Density*Local Friction Coefficient))

Density given local friction coefficient

Go Density = 2*Wall Shear Stress/(Local Friction Coefficient*(Free Stream Velocity^2))

Wall shear stress

Go Wall Shear Stress = (Local Friction Coefficient*Density*(Free Stream Velocity^2))/2

Local friction coefficient for external flow

Go Local Friction Coefficient = 2*Wall Shear Stress/(Density*Free Stream Velocity^2)

Hydrodynamic boundary layer thickness at distance X from leading edge

Go Hydrodynamic Boundary Layer Thickness = 5*Distance from Point to YY Axis*Reynolds Number(x)^(-0.5)

Thermal boundary layer thickness at distance X from leading edge

Go Thermal Boundary Layer Thickness = Hydrodynamic Boundary Layer Thickness*Prandtl Number^(-0.333)

Film temperature

Go Film temperature = (Plate Surface Temperature+Free Stream Fluid Temperature)/2

Free stream fluid temperature

Go Free Stream Fluid Temperature = 2*Film temperature-Plate Surface Temperature

Plate surface temperature

Go Plate Surface Temperature = 2*Film temperature-Free Stream Fluid Temperature

Coefficient of friction given Stanton number

Go Coefficient of Friction = 2*Stanton Number*(Prandtl Number^(2/3))

Displacement thickness

Go Displacement Thickness = Hydrodynamic Boundary Layer Thickness/3

Average friction coefficient

Go Average Friction Coefficient = 1.328*Reynolds Number(x)^(-0.5)

Local Friction Coefficient given Reynolds Number

Go Local Friction Coefficient = 0.664*Reynolds Number(x)^(-0.5)

Momentum thickness

Go Momentum Thickness = Hydrodynamic Boundary Layer Thickness/7

Plate surface temperature Formula

Plate Surface Temperature = 2*Film temperature-Free Stream Fluid Temperature
T_w = 2*Tf-T∞

What is external flow?

In fluid mechanics, external flow is such a flow that boundary layers develop freely, without constraints imposed by adjacent surfaces. Accordingly, there will always exist a region of the flow outside the boundary layer in which velocity, temperature, and/or concentration gradients are negligible. It can be defined as the flow of a fluid around a body that is completely submerged in it.
An example includes fluid motion over a flat plate (inclined or parallel to the free stream velocity) and flow over curved surfaces such as a sphere, cylinder, airfoil, or turbine blade, air flowing around an airplane and water flowing around the submarines.

How to Calculate Plate surface temperature?

Plate surface temperature calculator uses Plate Surface Temperature = 2*Film temperature-Free Stream Fluid Temperature to calculate the Plate Surface Temperature, The Plate surface temperature formula is defined as the temperature at the surface of the plate when the fluid is flowing externally. Plate Surface Temperature is denoted by T_w symbol.

How to calculate Plate surface temperature using this online calculator? To use this online calculator for Plate surface temperature, enter Film temperature (Tf) & Free Stream Fluid Temperature (T∞) and hit the calculate button. Here is how the Plate surface temperature calculation can be explained with given input values -> -243.15 = 2*323.15-343.15.

FAQ

What is Plate surface temperature?

The Plate surface temperature formula is defined as the temperature at the surface of the plate when the fluid is flowing externally and is represented as T_w = 2*Tf-T∞ or Plate Surface Temperature = 2*Film temperature-Free Stream Fluid Temperature. Film temperature is the temperature value of the Film & Free stream fluid temperature is the temperature of the fluid in free stream velocity.

How to calculate Plate surface temperature?

The Plate surface temperature formula is defined as the temperature at the surface of the plate when the fluid is flowing externally is calculated using Plate Surface Temperature = 2*Film temperature-Free Stream Fluid Temperature. To calculate Plate surface temperature, you need Film temperature (Tf) & Free Stream Fluid Temperature (T∞). With our tool, you need to enter the respective value for Film temperature & Free Stream Fluid Temperature 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