Consider a large plate of thickness 50 mm and thermal conductivity of k= 69 W/m.C in...

Consider a large plate of thickness 50 mm and thermal conductivity of k= 69 W/m.C in which heat is generated uniformly at a constant rate of 600 kW/m³. One side of the plate is insulated while the other side is subjected to convection to the environment at 30^oC with a heat transfer coefficient of h= 94 W/m^2.C. considering six equal spaced nodes with a nodal spacing of 10 mm:

(a) obtain the Finite Difference formulation of this problem,

(b) determine the nodal temperature under steady conditions by solving those equations (MANUALLY),

(c) repeat (b) by solving the equations using any software available,

(d) obtain the analytical solution of the temperature variation by applying Boundary Conditions, (e) sketch ONE graph showing the temperature value of those nodes that obtained from part b and d

Expert Solution

All Answers of temperatures are in kelvin

(c)

(d)

samet mamat answered 3 years ago

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