Two plates of the same material and thickness Lare
Chapter 5, Problem 5.56(choose chapter or problem)
Two plates of the same material and thickness Lare atdifferent initial temperatures Ti,1and Ti,2, where Ti,2?Ti,1.Their faces are suddenly brought into contact. Theexternal surfaces of the two plates are insulated.(a) Let a dimensionless temperature be defined as T* (Fo)?(T Ti,1)/(Ti,2 Ti,1). Neglecting the ther-mal contact resistance at the interface between theplates, what are the steady-state dimensionless tem-peratures of each of the two plates, and ?What is the dimensionless interface temperatureat any time?(b) An effective overall heat transfer coefficientbetween the two plates can be defined based on theinstantaneous, spatially averaged dimensionlessplate temperatures, . Notingthat a dimensionless heat transfer rate to or fromeither of the two plates may be expressed as, determine an expression for for Fo?0.2
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