The heat flux through the plates is [tex]36297.6 \mathrm{W} / \mathrm{m}^{2}[/tex] and temperature drop across the contact plane is [tex]56^{\circ} \mathrm{C}[/tex]
Explanation:
The thermal conduction resistance in stainless-steel plates,
[tex]R_{1}=R_{2}=\frac{L}{k}=\frac{10 \times 10^{-3}}{16.6 \times 1}=6.024 \times 10^{-4} \mathrm{m}^{2} \cdot \mathrm{K} / \mathrm{W}\\[/tex]
From thermal contact resistance for metallic interfaces under vacuum condition table,
the average thermal contact resistance for stainless steel,
[tex]R_{\text {contact }}=15.5 \times 10^{-4} \mathrm{m}^{2} \cdot \mathrm{K} / \mathrm{W}[/tex]
The total Thermal resistance,
[tex]R=R_{1}+R_{\text {conteet }}+R_{2}[/tex]
[tex]=6.024 \times 10^{-4}+15.5 \times 10^{-4}+6.024 \times 10^{-4}[/tex]
[tex]=27.55 \times 10^{-4} \mathrm{m}^{2} \cdot \mathrm{K} / \mathrm{W}[/tex]
Heat flux through the plates,
[tex]q=\frac{T_{1}-T_{2}}{R}[/tex]
[tex]=\frac{100}{27.55 \times 10^{-4}}[/tex]
[tex]=36297.6 \mathrm{W} / \mathrm{m}^{2} \approx 36.3 \mathrm{kW} / \mathrm{m}^{2}[/tex]
Temperature drop across the contact plates,
[tex]q=\frac{T_{i, 1}-T_{i, 2}}{R_{\text {contact }}}[/tex]
[tex]T_{i, 1}-T_{i, 2} \approx 56^{\circ} \mathrm{C}[/tex]
