Heat transfer at pneumatic particle transport — Limit solutions

Starting from the solution presented by Bertoli [1] of a convective and radiant heat transfer model in the pneumatic particle transport, to lumped parameters in the fluid phase and distributed in the solid phase, this article shows that several different analytical solutions for heat transfer problems can be recovered using exclusively the limit operations. The attained limiting solutions are compared with expressions in the literature. For the purpose of a generalization the method's details are presented. The length scales involved in the phenomenon are considered.

Graphical abstractThis article shows that several different analytical solutions for heat transfer problems can be recovered using exclusively the limit operations.Figure optionsDownload full-size imageDownload as PowerPoint slideHighlights► We have improved a set of analytical techniques for obtaining limiting solutions. ► The method was applied to determine limit solutions for heat transfer in moving bed. ► The techniques can be applied to other problems of Mathematical Physics.