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DOI: 10.1615/HeatTransRes.2016014218
pages 465-476

FORCED CONVECTION HEAT TRANSFER OF NON-NEWTONIAN CROSS FLUID IN A SQUARE CAVITY

Jinhu Zhao
School of Mathematics and Statistics, Fuyang Normal College, Fuyang 236037, Anhui, China
Liancun Zheng
School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China
Xinxin Zhang
School of Energy and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083, China; Beijing Key Laboratory of Energy Saving and Emission Reduction for Metallurgical Industry, University of Science and Technology Beijing, Beijing 100083, China

ABSTRACT

A numerical research is presented for forced convection heat transfer of non-Newtonian fluid in a square cavity, which finds wide domestic and industrial applications. The Cross viscosity model is introduced in characterizing the constitutive relation of the fluid, as it cannot only be used to describe the power-law rheological behavior at high shear rate, but also be a good description of Newtonian rheological behavior near zero shear stress. The coupled equations are solved numerically using the finite-volume method. With fixed inlet and outlet, a total of 112 cases are performed with different Reynolds numbers, power-law coefficients, and indices. The results indicate that the dimensionless vertical velocity at the outlet decreases markedly and the fluid viscosity increases with augmentation of these parameters. Moreover, other effects of involved parameters on the transport characteristics of velocity and temperature fields are analyzed.