Thermal entry flow of power-law fluid through ducts with homogeneous slippery wall(s) in the presence of viscous dissipation

摘要

This article investigates the Graetz problem for an inelastic power-law fluid by incorporating the effects of homogeneous slippery surface(s). The energy equation with viscous dissipation term is handled by employing the separation of variable method supplemented with the Matlab based algorithm Bvp4c for both kinds of thermal conditions, namely isothermal and isoflux conditions. The graphical results of average temperature and local Nusselt number are displayed and discussed in the forms of main effect brought by the emerging parameters such as slip length, power-law index and Brinkman number. The analysis predicts that interplay among the fluid characteristics, wall properties and dissipation effect can lead to an increase in the overall convective heat transfer and therefore, this analysis is potentially useful in the manufacturing of several bio-fluidic and micro-fluidic devices.