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develop a custom transient, two-dimensional FDM. The FDM code should solve for the temperature distribution of a block of width 10 cm in the...
develop a custom transient, two-dimensional FDM. The FDM code should solve for the temperature distribution of a block of width 10 cm in the x-direction and 8 cm in the y-direction. The block should be comprised of titanium. The relevant properties of titanium are2 : ρ 4500 kg m−3 k 22 W m−1 K −1 c 0.54 kJ kg−1 K −1 The lower edge of the block, corresponding to y = 0, should be fixed at a temperature of 0 ◦C. The upper edge of the block (y = 8 cm) should be exposed to convection, with h = 250 W m−1 K −1 and T∞ = 550 ◦C. The left and right edges of the block, corresponding to x = 0, 10 cm, are insulated. The block is initially at a uniform temperature of 0 ◦C.
