AISI $316(\backslash$alpha $=3\mathrm{.}48\backslash$times $10^(-6)($m$)(2)/($s$))$ stainless steel plate of $4$ cm thickness is maintained at room temperature $(25\backslash$deg C$)$

initially. This plate is then placed in a furnace, maintained at $850\backslash$deg C$.$ Considering the convection heat transfer

coefficient to be h$=120($W$)/($m$^(2))$K$.$ Answer the following. $[$Refer to Appendix or literature for determining properties

of AISI $316]$

b$.$ Using Heisler and Grober charts, determine the temperature at the center of the plate after $3$ min $.$ Show

details of the calculations. Attach a copy of chart with work shown in it to receive full credit.

Note: Show details of calculations for solving the problems. Show appropriate diagrams wherever necessary.

c$.$ Using Heisler and Grober charts, determine the surface temperature of the plate when it comes out of the

furnace after $10$ min $.$ Show details of the calculations. Attach a copy of chart with work shown in it to

receive full credit.

$[10$pt$]$