This paper endeavors to complete a numerical research on forced convection steady heat transfer in power-law non-Newtonian fluids in a circle duct. Incompressible, laminar fluids are to be studied with a uniform wall temperature. A hydrodynamic entrance length is neglected which allows establishing a fully developed flow. The energy equation is solved by using a LU decomposition coupled with control volume technique based on finite difference method. Four thermal conductivity models are adopted in this paper, that is, constant thermal conductivity model, linear thermal conductivity varying with temperature, thermal conductivity varying as a function of velocity gradient, and thermal conductivity varying as a function of temperature gradient. The results are compared with each other and the physical characteristics for values of parameters are also discussed in details. It is shown that the heat transfer behaviors are strongly depending on the power-law index in all models. Comparisons of temperature and local Nusselt number between models are made. It reveals the increasing values of thermal conductivity parameter result in increasing the local Nusselt number when the thermal conductivity is a linear one. Furthermore, there is obvious difference in the local Nusselt number between the constant model and the power-law velocity-dependent model, but Nusselt number varies little from the constant model to the power-law temperature-dependent model.

Skip Nav Destination
Department of Mathematics and Mechanics,

liancunzheng@163.com
School of Mechanical Engineering,

Article navigation

Research Papers

# Comparison Between Thermal Conductivity Models on Heat Transfer in Power-Law Non-Newtonian Fluids

Botong Li,

Botong Li

Department of Mathematics and Mechanics,

University of Science and Technology Beijing

, Beijing 100083, China

; School of Mechanical Engineering, University of Science and Technology Beijing

, Beijing 100083, China

Search for other works by this author on:

Liancun Zheng,

Liancun Zheng

Department of Mathematics and Mechanics,

liancunzheng@163.com
University of Science and Technology Beijing

, Beijing 100083, China

Search for other works by this author on:

Xinxin Zhang

Xinxin Zhang

School of Mechanical Engineering,

University of Science and Technology Beijing

, Beijing 100083, China

Search for other works by this author on:

Botong Li

University of Science and Technology Beijing

, Beijing 100083, China

; School of Mechanical Engineering, University of Science and Technology Beijing

, Beijing 100083, China

Liancun Zheng

Department of Mathematics and Mechanics,

University of Science and Technology Beijing

, Beijing 100083, China

liancunzheng@163.com

Xinxin Zhang

University of Science and Technology Beijing

, Beijing 100083, China

*J. Heat Transfer*. Apr 2012, 134(4): 041702 (7 pages)

**Published Online:**February 13, 2012

Article history

Received:

October 18, 2010

Revised:

April 15, 2011

Online:

February 13, 2012

Published:

February 13, 2012

Citation

Li, B., Zheng, L., and Zhang, X. (February 13, 2012). "Comparison Between Thermal Conductivity Models on Heat Transfer in Power-Law Non-Newtonian Fluids." ASME. *J. Heat Transfer*. April 2012; 134(4): 041702. https://doi.org/10.1115/1.4004020

Download citation file:

### Get Email Alerts

### Cited By

### Related Articles

Second Law Analysis for Free Convection in Non-Newtonian Fluids Over a Horizontal Plate Embedded in a Porous Medium: Prescribed Surface Temperature

J. Heat Transfer (May,2011)

Development-Length Requirements for Fully Developed Laminar Pipe Flow of Inelastic Non-Newtonian Liquids

J. Fluids Eng (October,2007)

Modeling Forced
Convection in Finned Metal Foam Heat Sinks

J. Electron. Packag (June,2009)

On the Generalized Brinkman Number Definition and Its Importance for Bingham Fluids

J. Heat Transfer (May,2011)

### Related Proceedings Papers

### Related Chapters

A Non-Newtonian Fluid Flow in a Pipe

Case Studies in Fluid Mechanics with Sensitivities to Governing Variables

Steady Heat Conduction with Variable Heat Conductivity

Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow

Introduction

Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow