Review the finite-difference technique with space


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Q: A wall 0.12 m thick having a thermal diffusivity of 1.5 x 10-6 m2/s is initially at a uniform temperature of 85°C. Suddenly one face is lowered to a temperature of 20°C, while the other face is perfectly insulated.

(a) Using the explicit finite-difference technique with space and time increments of 30 mm and 300 s, respectively, determine the temperature distribution at t = 45 min.

(b) With x: = 30 mm and t = 300 s, compute T(x, t) for 0 < t="">< t="" 55,="" where="" tss="" is="" the="" time="" required="" for="" the="" temperature="" at="" each="" nodal="" point="" to="" reach="" a="" value="" that="" is="" within="" 1?c="" of="" the="" steady-state="" temperature.="" repeat="" the="" foregoing="" calculations="" for="" ?t="75" s.="" for="" each="" value="" of="" ?t,="" plot="" temperature="" histories="" for="" each="" face="" and="" the="" mid="">

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Mechanical Engineering: Review the finite-difference technique with space
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