Consider a large uranium plate of thickness 5 cm and thermal conductivity k 28 W m K in which heat is generated uniformly at a constant rate of e 6 10 5 W m 3 One side of the plate is insulated while the other side is subjected to convection to an environment at 30C with a heat transfer coefficient...

The Answer is in the image, click to view ...

Consider a large uranium plate of thickness 5 cm and thermal conductivity k = 28 W/m

Question:

Consider a large uranium plate of thickness 5 cm and thermal conductivity k = 28 W/m · K in which heat is generated uniformly at a constant rate of ė = 6 × 10⁵ W/m³. One side of the plate is insulated while the other side is subjected to convection to an environment at 30°C with a heat transfer coefficient of h = 60 W/m² · K. Considering six equally spaced nodes with a nodal spacing of 1 cm,

(a) Obtain the finite difference formulation of this problem

(b) Determine the nodal temperatures under steady conditions by solving those equations.

Fantastic news! We've Found the answer you've been seeking!