TY  - EJOU
AU  - Tien, Wei-Chung  
AU  - Yang, Yue-Tzu  
AU  - Chen, Cha’o-Kuang  

TI  - Homotopy Analysis of Natural Convection Flows with Effects of Thermal and Mass Diffusion
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2012
VL  - 85
IS  - 5
SN  - 1526-1506

AB  - Both buoyancy effects of thermal and mass diffusion in the natural convection flow about a vertical plate are considered in this paper. The non-linear coupled differential governing equations for velocity, temperature and concentration fields are solved by using the homotopy analysis method. Without the need of iteration, the obtained solution is in the form of an infinite power series which indicates those series have high accuracy when comparing it with other-generated by the traditional method. The impact of the Prandtl number, Schmidt number and the buoyancy parameter on the flow are widely discussed in detail.
KW  - homotopy analysis method
KW  -  boundary layer flow
KW  -  natural convection
KW  -  heat and mass transfer

DO  - 10.3970/cmes.2012.085.447