Meshless analysis of heat transfer due to viscous dissipation in polymer flow

This paper illustrates the results of meshless/meshfree solutions of a heat transfer to molten polymer flow in a tube with constant ambient temperature. Here, the rheological behaviors of the melt are based on a power law temperature-dependent model and heat produced by viscous dissipation, which satisfies an Arrhenius temperature-dependence law, is considered. Temperatures are obtained for different tube lengths, different inlet temperatures and different models. It shows that the temperature-dependent viscous disputation has significant impact on the heat transfer, and the limiting bulk temperature for both without viscosity dissipation model and with viscosity dissipation model is influenced by the wall boundary, but not by the inlet conditions of the melt. Meanwhile, the local Nusselt number is also presented for a variety of flow entry temperatures. Moreover, the element-free Galerkin solutions of steady state for different nodal distribution are validated by comparing with the analytical solution, which indicates that numerical solutions are excellent agreement with analytical solutions.