TY - JOUR
TI - A new model for flow and heat of a power law fluid in a pipe
AU - Li Botong
AU - Zheng Liancun
AU - Zhang Xinxin
JN - Thermal Science
PY - 2011
VL - 15
IS - 11
SP - 127
EP - 130
PT - Article
AB - In this paper, a new model is proposed for flow and heat transfer of a power  law fluid in a pipe. The flow is hydro-dynamically fully-developed and  laminar while the characteristic of the fluid viscosity changes with the  entrance distance considered. We assume that the power-law index is no longer  a constant but a function of the entrance distance. Also, in terms of analogy  between the viscous boundary layer and the thermal one, the thermal diffusion  coefficient is considered as a power-law function of temperature gradient as  Zheng’s model. A control volume technique based on the finite difference  model coupled with the LU decomposition method is adopted and the least  squares polynomial is used to approximate the non-linear item. The results  show that the heat transfer behavior strongly depend on the value of the  power law index.