THERMAL SCIENCE

International Scientific Journal

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Botong Li

,

Liancun Zheng

,

Xinxin Zhang

A NEW MODEL FOR FLOW AND HEAT OF A POWER LAW FLUID IN A PIPE

ABSTRACT
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.
KEYWORDS
power law fluids, flow and heat transfer, LU decomposition
PAPER SUBMITTED: 2010-07-05
PAPER REVISED: 2010-09-28
PAPER ACCEPTED: 2010-11-11
DOI REFERENCE: https://doi.org/10.2298/TSCI11S1127L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2011, VOLUME 15, ISSUE Supplement 1, PAGES [S127 - S130]
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A new model for flow and heat of a power law fluid in a pipe

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