you may use Matlab, and even you dont have plot and managed to find the heat equ

Question

you may use Matlab, and even you dont have plot and managed to find the heat equation, with boundary conditions, Initial conditions then using seperate variables , please show ill still rate.

A wide metal alloy slab (k = 40 W/m. degree C: rho = 9014 kg m3: Cp = 3 55 J/kg. degree C) with thickness L = 0.1 meter emerges from an annealing furnace at a uniform temperature Ti = 800 degree C and it is laid at on an insulating support where it is left to cool by exposing its upper surface to the surrounding ambient air at 0 degree C. In this project you will investigate the cooling of the slab using two approximations (see parts 1 and 2 below). Assume all thermal properties are constant (unless otherwise stated) with time and space. A realistic approach assumes that the upper surface of the slab loses heat by convection into the air. A value of the heat transfer coefficient h from a plate facing up, obtained from a heat transfer handbook, is 50 W/m2. degree C. Write down the mathematical formulation for this problem (along with appropriate schematic diagram) including boundary and initial conditions. Solve this problem analytically using the separation of variables (knowing that the first term approximation is sufficient to provide a satisfactory solution). Draw you solution using the first term solution

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