Calculation question (10marks, scan and upload the handwritten workout in the final of this exam): The...

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Calculation question (10marks, scan and upload the handwritten workout in the final of this exam): The boundary conditions of a plate are shown in the following Figure. The thermal conductivity, k of the plate is 60 W/m.K. There is no heat generation of the plate. By treating the problem as a 2-dimensional heat transfer with one element (1) and four nodes 1, 2, 3 and 4. Fixed temperature at 100 °C predetermined as [K] 100 mm T₁= 20 °C, h=200 W/m².K (1) K=60 W/m.K 3 2 50 mm Insulated T₁=50 °C, h=100 W/m².K The global thermal conductance matrix (thermal stiffness matrix) with the consideration of all boundary conditions, has been 53.33 11.67 -25 -35 1 11.67 53.33 -35 -25 2 -25 -35 56.67 13.33 3 35 -25 13.33 56.67 4 • Calculate the global thermal load vector of element (1) with the consideration of all boundary conditions. (W/m.K). If the temperatures distribution of the element (1) has been determined as [7]) Account 100 76.5 2 (°C) 71.4 3 100 4 • Calculate average heat flux through side 1-4 in order to maintain the fixed temperature boundary condition. BTC Calculation question (10marks, scan and upload the handwritten workout in the final of this exam): The boundary conditions of a plate are shown in the following Figure. The thermal conductivity, k of the plate is 60 W/m.K. There is no heat generation of the plate. By treating the problem as a 2-dimensional heat transfer with one element (1) and four nodes 1, 2, 3 and 4. Fixed temperature at 100 °C predetermined as [K] 100 mm T₁= 20 °C, h=200 W/m².K (1) K=60 W/m.K 3 2 50 mm Insulated T₁=50 °C, h=100 W/m².K The global thermal conductance matrix (thermal stiffness matrix) with the consideration of all boundary conditions, has been 53.33 11.67 -25 -35 1 11.67 53.33 -35 -25 2 -25 -35 56.67 13.33 3 35 -25 13.33 56.67 4 • Calculate the global thermal load vector of element (1) with the consideration of all boundary conditions. (W/m.K). If the temperatures distribution of the element (1) has been determined as [7]) Account 100 76.5 2 (°C) 71.4 3 100 4 • Calculate average heat flux through side 1-4 in order to maintain the fixed temperature boundary condition. BTC

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