## Generate a computer code for solidification situation, Managerial Economics

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Generate a computer code to simulate the following solidification situation during a casting process: The material is a well-known polymer known as PEEK (polyetheretherketone).  The properties of this material are as follows:

K= 0.251 W/mK,      ρ = 1262 kg/m3   Cps = Cpl =1339 J/kgK

Ts      =3300C =    603K, Tl =3450C  =618 K

hs = CpsTs =807,417 J/kg, hl Cpl Tl  = 827,502 J/kg

Assume that Tinitial = 650 K everywhere (the pouring temperature) and that at time = 0 the wall temperatures on walls AB, BC, AD, and DC are set to Twall = 290 K (the mold temperature).  Study this solidification problem numerically, and hand in the following:

• A copy of your source code
• Plots of Tcenter versus time and Tp versus time
• The total solidification time and final point of solidification within the product.
• Contour plots of solidus and liquidus interfaces for a selected time.
• A plot showing the temporal progression of solidus interface fronts during the casting process.

Run your code several times with a deceasing mesh cell size.  For each of these mesh cell sizes, report on the following:

• The total solidification time and final point of solidification within the product.

From this mesh size sensitivity analysis suggest an optimal mesh size to address this type of problem.

δ^2*T/δx^2

Δ/Δx * ΔT/Δx

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