Heat transfer and flow of a slag-type non-linear fluid: Effects of variable thermal conductivity

被引：6

作者：

Miao, Ling ^{[1
]}

Wu, Wei-Tao ^{[1
]}

Aubry, Nadine ^{[2
]}

Massoudi, Mehrdad ^{[3
]}

机构：

[1] Carnegie Mellon Univ, Dept Mech Engn, Pittsburgh, PA 15213 USA

[2] Northeastern Univ, Dept Mech Engn, Boston, MA 02115 USA

[3] US DOE, NETL, Pittsburgh, PA 15236 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 227卷

关键词：

Slag; Non-linear fluids; Variable viscosity; Variable thermal conductivity; Falling film; Viscous dissipation; Radiation boundary condition; Gasification; GRANULAR-MATERIALS; PART II; VECTOR; BEHAVIOR; SPHERES; FOURIER;

D O I：

10.1016/j.amc.2013.11.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the effects of variable thermal conductivity on the flow and heat transfer in a slag-type non-linear fluid down a vertical wall. The constitutive relation for the heat flux vector is assumed to be the Fourier's law of conduction with a variable thermal conductivity which includes the second order effects of the volume fraction. We numerically solve the non-dimensional form of the governing equations to study the effects of various dimensionless numbers on the velocity, temperature and volume fraction. The results indicate that the thermal conductivity plays a major role in the temperature distribution. Also, for certain values of the dimensionless numbers, minor differences are observed in the velocity and volume fraction distribution compared with the case of constant thermal conductivity. Published by Elsevier Inc.

引用

页码：77 / 91

页数：15

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