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

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Mechanical Engineering

Consider a large plate of thickness 50 mm andthermal conductivity of k= 69 W/m.C inwhich heat is generated uniformly at a constant rate of 600kW/m3. One side of the plate is insulated whilethe other side is subjected to convection to the environment at30oC with a heat transfer coefficientof h= 94 W/m^2.C. considering six equalspaced nodes with a nodal spacing of 10 mm:

(a) obtain the Finite Differenceformulation of this problem,

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

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

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

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