Stainless steel: p(kg/m3) 8055 ; c (J/kg-oC) 480; k (W/m-oC) 15 Copper: p(kg/m3) 8954 ; c...

 

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Stainless steel: p(kg/m3) 8055 ; c (J/kg-oC) 480; k (W/m-oC) 15 Copper: p(kg/m3) 8954 ; c (J/kg-oC) 383; k (W/m-oC) 4013 - 2. Consider two thin metal bars of metal of dimensions 1cm x 1cm x 80cm. They are insulated along their long sides. The material properties of the bars are described above The bars are initially heated to 100C, and at t = 0 their ends are attached to perfect heat sinks at temperature 0C. (a) Which bar reaches equilibrium first? Explain. (b) Now suppose that the bars are joined with perfect contact between their surfaces, as shown in the image. The left end is held at temperature 100C, and the right end isheld at 0C. Now, In addition to the boundary conditions at x = = 0 and x = 2L = 1.6, there are now boundary conditions at the junction (x = L = 0.8) . What are these additional conditions, and why? (c) Draw a diagram that correctly describes and graphs the steady - state temperature distribution in the bars? T is the y axis, and x (L) is the x axis. Explain this diagram. Stainless steel: p(kg/m3) 8055 ; c (J/kg-oC) 480; k (W/m-oC) 15 Copper: p(kg/m3) 8954 ; c (J/kg-oC) 383; k (W/m-oC) 4013 - 2. Consider two thin metal bars of metal of dimensions 1cm x 1cm x 80cm. They are insulated along their long sides. The material properties of the bars are described above The bars are initially heated to 100C, and at t = 0 their ends are attached to perfect heat sinks at temperature 0C. (a) Which bar reaches equilibrium first? Explain. (b) Now suppose that the bars are joined with perfect contact between their surfaces, as shown in the image. The left end is held at temperature 100C, and the right end isheld at 0C. Now, In addition to the boundary conditions at x = = 0 and x = 2L = 1.6, there are now boundary conditions at the junction (x = L = 0.8) . What are these additional conditions, and why? (c) Draw a diagram that correctly describes and graphs the steady - state temperature distribution in the bars? T is the y axis, and x (L) is the x axis. Explain this diagram.

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To address this question we need to discuss the rate of heat transfer and how the physical properties of materials affect their approach to thermal eq... View the full answer