Athickness of 2l is initially at a an infinite plate having temperature of t, and the plate is suddenly exposed to a convection environment at t with the heat transfer coefficient h. the thermal diffusivity of the material is a and the thermal conductivity is k. calculate the center temperature as a function of time using "implicit euler method." the project report should contain: 1. description of the problem 2. discussion of numerical method (develop equations by hand) presentation of results 3. (1) use the following data: the plate is aluminum: 8.4x105 m2/s and k-204 w/m. oc the plate thickness is 0.05 m (l= 0.025 m) - h 800 w/m°c t 70°c t 20°c (2) plot the centerline and surface temperatures as a function of time up to 100s 4. discussion of results (1) effects of ax and/or at (2) comparison with an analytical solution 5. concluding remark 6. appendix