Question: Solve the set of difference equations derived in Problem 3.46 given the following values of the problem parameters k = 40.0 W/(mK), disk thermal conductivity

Solve the set of difference equations derived in Problem 3.46 given the following values of the problem parameters

k = 40.0 W/(mK), disk thermal conductivity

α = 1 \ 10^–5m²/s, disk thermal diffusivity

R_s = 25 mm, disk radius

Z_s = 5 mm, disk thickness

q” _max = 3 \ 10⁶W/m², peak absorbed flux

R_o = 50 mm, parameter in flux distribution

T_init = 20°C, disk initial temperature

Determine the temperature distribution in the disk when the maximum temperature is 300°C.

GIVEN

Difference equations developed in Problem 3.46 given the following values of the problem parameters

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All 9 difference equations can be written in the form Where the coefficients C i j R i j L i j U i j D i j are defined in the table below Note that to ... View full answer

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