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Heat Transfer Coefficient

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Heat Transfer Coefficient of Air Flowing Across a Flat Plate

This application calculates the heat transfer coefficient of air flowing across a flat plate

 

Parameters

> 

restart; with(ThermophysicalData); with(Units[Standard])


Length of plate in flow direction

> 

L := .5*Unit('m')


Plate surface temperature

> 

Ts := 27.5*Unit('degC')


Ambient air temperature

> 

Tinfinity := 50.0*Unit('degC')


Film temperature

> 

Tfilm := (Tinfinity+Ts)*(1/2)

38.75000000*Units:-Unit('`°C`')

Air velocity and pressure

> 

v := 10*Unit('m'/'s')

> 

press := 100*Unit('kPa')

 

Fluid Properties

> 

rho := Property("density", temperature = Tfilm, pressure = press, "air")

1.117173110*Units:-Unit(('kg')/('m')^3)

> 

k := Property("thermalconductivity", temperature = Tfilm, pressure = press, "air")

0.2726226214e-1*Units:-Unit(('W')/(('m')*('K')))

> 

mu := Property("viscosity", temperature = Tfilm, pressure = press, "air")

0.1910585146e-4*Units:-Unit(('Pa')*('s'))

> 

Cp := Property("CPMASS", temperature = Tfilm, pressure = press, "air")

1006.843606*Units:-Unit(('J')/(('kg')*('K')))

Calculations

Prandtl number

> 

Pr := Cp*mu/k

.7056129195

Reynolds number

> 

Rey := rho*v*L/mu

292364.1253

The average Nusselt number for flow over a flat plate [1]

> 

Nu := .664*Rey^.5*Pr^.333


Hence the heat transfer coefficient is

> 

h := Nu*k/L

17.42989046*Units:-Unit(W/(m^2*K))

References

[1] https://en.wikipedia.org/wiki/Nusselt_number#Flat_plate_in_laminar_flow