Two AISI 304 stainless steel plates 10 mm thick are subjected to a contact pressure of 1 bar under vacuum conditions for which there is an overall temperature drop of 110°C across the plates. (a) What is the heat flux through the plates? (b) What is the temperature drop across the contact plane? Use R"t,c=15 x 10-4 m2·K/W and evaluate the properties of stainless steel at 400 K.

Respuesta :

Answer:

Explanation:

First calculate

(a)

R₁=[tex]\frac{L}{k}[/tex]

  R₁= 0.01/16.6

   =6.024*10⁻⁴ m² . K/W

  R₁=R₂=6.024*10⁻⁴ m² . K/W

The contact thermal resistance of AISI 304 stainless steel

  [tex]R_{contact}[/tex]= 15*10⁻⁴ m² . K/W

  R=R₁+R₂+[tex]R_{contact}[/tex]

  R=6.024*10⁻⁴+15*10⁻⁴ +6.024*10⁻⁴

   R=27.048 *10⁻⁴ m² . K/W

Calculate the rate of heat transfer

q=ΔT/R

  =110/(27.048 *10⁻⁴)

  q= 40668.44 W/m²

(b)

       Calculate the difference of temperature across the plate

       [tex]\frac{ΔT_{contact} }{ΔT} =\frac{R_{contact} }{R}[/tex]

        ΔT=110*[tex]\frac{15*10^{-4} }{27.048*10^{-4} }[/tex]

        ΔT=61.002 K