Consider a large uranium plate of thickness 5 cm and thermal conductivity k = 34

Question

Consider a large uranium plate of thickness 5 cm and thermal conductivity k = 34 W/m-K in which heat is generated uniformly at a constant rate of = 6 X 105 W/m3. One side of the plate is insulated while the other side is subjected to convection to an environment at 30 degree C with a heat transfer coefficient of h = 60 W/m2. K. Considering six equally spaced nodes with a nodal spacing of 1 cm. obtain the finite difference formulation of this problem and determine the nodal temperatures under steady conditions by solving those equations.

Explanation / Answer

Consider a large uranium plate of thickness 5 cm and thermal conductivity k = 34

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