1. The faces of the thin square plate in Fig. 297 with side a = 24...

  

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1. The faces of the thin square plate in Fig. 297 with side a = 24 are perfectly insulated. The upper side is kept at 25°C and the other sides are kept at 0°C. Find the steady-state temperature u (x, y) in the plate. 2. Find the steady-state temperature in the plate in Prob. 21 if the lower side is kept at U6°C, the upper side at U,°C, and the other sides are kept at 0°C. Hint: Split into two problems in which the boundary temperature is 0 on three sides for each problem. 3. Mixed boundary value problem. Find the steady- state temperature in the plate in Prob. 21 with the upper and lower sides perfectly insulated, the left side kept at 0°C, and the right side kept at f(y)°C. y a. Fig. 297. Square plate 1. The faces of the thin square plate in Fig. 297 with side a = 24 are perfectly insulated. The upper side is kept at 25°C and the other sides are kept at 0°C. Find the steady-state temperature u (x, y) in the plate. 2. Find the steady-state temperature in the plate in Prob. 21 if the lower side is kept at U6°C, the upper side at U,°C, and the other sides are kept at 0°C. Hint: Split into two problems in which the boundary temperature is 0 on three sides for each problem. 3. Mixed boundary value problem. Find the steady- state temperature in the plate in Prob. 21 with the upper and lower sides perfectly insulated, the left side kept at 0°C, and the right side kept at f(y)°C. y a. Fig. 297. Square plate