A two-dimensional rectangular plate is 2 m wide x 1 m high. It is composed of...

   

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A two-dimensional rectangular plate is 2 m wide x 1 m high. It is composed of copper with thermal conductivity of 380 W/m-K and thermal diffusivity 11.2 x 105 m/s, both assumed constant. It is initially at a uniform temperature of 0 C and is subjected to constant temperature boundary conditions as shown: y (m) T T T (m) 2 T The governing equation for conduction within the plate is the diffusion equation, OT t OT T 2 Jy2 It is desired to compute the transient solution. E.g., what is the temperature distribution T(x, y) in the plate as a function of time. Debug and validate your computer code for the test case of T = T = T = 50 C and T 150 C. Plot some representative isotherms. Comment on the physical correctness of the plot. Is a steady state achieved? A two-dimensional rectangular plate is 2 m wide x 1 m high. It is composed of copper with thermal conductivity of 380 W/m-K and thermal diffusivity 11.2 x 105 m/s, both assumed constant. It is initially at a uniform temperature of 0 C and is subjected to constant temperature boundary conditions as shown: y (m) T T T (m) 2 T The governing equation for conduction within the plate is the diffusion equation, OT t OT T 2 Jy2 It is desired to compute the transient solution. E.g., what is the temperature distribution T(x, y) in the plate as a function of time. Debug and validate your computer code for the test case of T = T = T = 50 C and T 150 C. Plot some representative isotherms. Comment on the physical correctness of the plot. Is a steady state achieved?