Two very long (in the direction normal to the page)bars
Chapter 5, Problem 5.139(choose chapter or problem)
Two very long (in the direction normal to the page)bars having the prescribed initial temperature distribu-tions are to be soldered together. At time t = 0, the m = 3 face of the copper (pure) bar contacts the m = 4 face of the steel (AISI 1010) bar. The solder and flux act as an interfacial layer of negligible thickness andeffective contact resistance .Initial Temperatures (K)n/m1237001 700 700 1000 900 8002 700 700 700 1000 900 8003 700 700 700 1000 900 800(a) Derive the explicit, finite-difference equation interms of Foand for T4,2and deter-mine the corresponding stability criterion.(b) Using Fo?0.01, determine T4,2one time stepafter contact is made. What is ?t? Is the stabilitycriterion satisfied?
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