A Stefan problem for composite materials with an arbitrary number of moving phase-transition boundaries

Abstract

A Stefan problem of heat transfer in semi-infinite bodies with an arbitrary number of unsteady moving boundaries during phase transitions was solved. Such problems arise when composite materials are heated at high temperatures, causing the binding agents to decompose (destruct) thermally, which leads to the formation of moving boundaries in the onset and end of phase transitions, mass transfer, etc. An analytical solution of the Stefan problem with an arbitrary number of unsteady moving boundaries was obtained. The heat transfer process with two moving boundaries was analyzed.

Keywords

• heat transfer
• stefan problem
• moving boundary
• composite material
• destruction of binding agents
• analytical solution