Air at 20 C and 1 atm flows over a flat plate at 35 m/s. The plate is 75 cm long and is maintained at 60 с. Assuming unit depth in the x direction, calculate the heat transfer from the plate.

Respuesta :

Answer:

Q=3198.744 W/m

Explanation:

Given that

Air temperature=20 C

Velocity V= 35 m/s

Temperature of surface= 60 C

Length of plate= 75 cm

Now first find the properties of air at mean temperature of 20 and 60,it means that  properties of air at  temperature 40 C

[tex]\rho=1.12 \frac{Kg}{m^3}[/tex]

[tex]\nu =1.69\times 10^{-5}\frac{m^2}{s}[/tex]

[tex]K=0.027\frac{W}{m-K}[/tex]

Pr=0.71

Lets find the Reynolds number

[tex]Re=\dfrac{vL}{\nu }[/tex]

[tex]Re=\dfrac{35\times0.75}{1.69\times 10^{-5}}[/tex]

[tex]Re=15.53\times10^5[/tex]

So this is turbulent flow

Nusselt equation of turbulent flow

[tex]Nu=0.037Re^{\frac{4}{5}}Pr^{\frac{1}{3}}[/tex]

Now by putting the values

[tex]Nu=0.037\times (15.53\times10^5)^{\frac{4}{5}}\times 0.71^{\frac{1}{3}}[/tex]

Nu=2961.68

We know that

[tex]NU=\dfrac{hL}{K_{air}}[/tex]

So

[tex]2961.68=\dfrac{h\times 0.75}{0.027}[/tex]

[tex]h=106.68\frac{W}{m^2-K}[/tex]

So heat transfer

Q=hAΔT

Q=106.68 x 0.75 x 1 x (60-20)

Q=3198.744 W/m

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE