Problems of heat conduction for an angular region with an internal source

摘要: Exact solutions of nonstationary problems heat conduction have been obtained for an unbounded rectangular region when the opening angle is equal to π/(2n + 1), where n any natural number. By passage limit it has shown that no stationary regime possible in case action a constant internal source. The exact solution problem angular with arbitrary κ0 given. It proved presence source just acute ≤ π/2, while right or obtuse angles ≥ π/2 impossible, since temperature increases without bound at points.