The heat diffusion equation for transient conduction in a one-dimensional slab is: a at Suppose the heat flux is q, =0 at x=0 and the surface at x =...
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# />I cant seem to use this graph correctly in order to get answers that seem correct. Attachment 1 Attachment 2 ATTACHMENT PREVIEW Download attachment attachment_10142019.png The heat diffusion equation for transient conduction in a one-dimensional slab is: a at Suppose the heat flux is q, =0 at x=0 and the surface at x = L is exposed to a convection environment with fluid temperature T. and convection coefficienth . The boundary conditions are: of =0 at x=0 and -k = h(T-T.) at x = L ax Suppose the slab is initially at uniform temperature T(x, 0) = T; . The dimensionless form of this equation, its initial condition, and its boundary conditions are: Fo where O = T - T. = = *, and Fo = T- T. O =1 for Fo = 0, 30 =0 at 5 =0, and do = -Bio at 5 =1 where Bi = hL 25 k Figure 5.7 in the 5th Edition of A Heat Transfer Textbook (the latest PDF version of the text) has a temperature response chart for the solution to this problem. Use this chart to solve the following problem: A large 100-mm thick steel plate is initially at uniform temperature T, = 180 C at time t =0. Both sides of the plate are exposed to 30C oil with convection coefficient h = 1500 W/m? . K. The thermal conductivity, heat capacity, and density of the steel are k = 38 W/m . K, c, = 485 J/kg . K, and p = 7800 kg/m3. a) Find the temperature at the center of the slab when t = 125 s. b) Find the temperature at the surface of the slab when t= 125 s. ATTACHMENT PREVIEW Download attachment attachment_10142019.png

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