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The steady state temperature u on a heated copper plate satisfies the Poisson equation d²u d²u + D (x,y) K дх2 dy² Where
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The steady state temperature u on a heated copper plate satisfies the Poisson equation d²u d²u + D (x,y) K дх2 dy² Where
The steady state temperature u on a heated copper plate satisfies the Poisson equation d²u d²u + D (x,y) K дх2 dy² Where D(x,y) is the power density at (x,y) and K is the thermal conductivity. Assume that the plate is the shape of a a square 3 x 3 cm whose boundary is kept at a constant 30°C, and that the power generated at a rate of D(x,y) = (x + y2) watts/cm³. The thermal conductivity for copper is K = 3.85 watts/cm °C. Use h = k = 1 cm. What is the temperature at point (1, 1)? Provide your answer in 2 decimal places and without units. Answer: What is the temperature at point (1, 2)? Provide your answer in 2 decimal places and without units. Answer: What is the temperature at point (2, 1)? Provide your answer in 2 decimal places and without units. Answer: What is the temperature at point (2, 2)? Provide your answer in 2 decimal places and without units. Answer: