Abstract
Although the heat conduction problem in cooling ns is usually consideredto haveone steady-statesolutionfor givenboundaryconditions, two solutions may exist when nonstandard, yet physically admissible, boundary conditions are applied. In particular, the situation inwhich the cooling n has xed temperatureat both ends and speci ed heat ux at the root is examined. The analysis shows that, depending on the value of the heat ux at the n root, the problem may have no solutions, one solution, or two solutions for the n length. The results can nd practical applications in the design of passive safety devices for chemical or nuclear plants.
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