- 期刊
SIMILARITY ANALYSIS FOR NATURAL CONVECTION FROM A VERTICAL PLATE WITH DISTRIBUTED WALL CONCENTRATION
摘要
Steady laminar natural convection flow over a semi-infinite vertical plate is examined in this paper. It is assumed that the concentration of a species along the plate follows some algebraic law with respect to chemical reaction. Similarity solutions may then be obtained for different orders of reaction. The fundamental parameters of this problem are the Schmidt number, Sc, and reaction order, n. Numerical results, based on the fourth order Runge-Kutta method, for Schmidt number ranging from 0.0 to 100.0 and reaction order from 0.0 to 1.5 are presented. When chemical reaction occurs, diffusion and velocity domains are seen to expand out from the plate. For large values of n, one may expect a smaller diffusion layer which, at fixed Schmidt number, is associated with increased velocity and reduced convection-layer.
延伸閱讀
- Sweilam, N., Khader, M., & Atlan, F. (2011). Numerical Studies for Singularly Perturbed Convection Reaction Diffusion Problems in Two Dimensions. Research Journal of Mathematics and Statistics, 3(3), 97-106. https://www.airitilibrary.com/Article/Detail?DocID=20407505-201109-201506220047-201506220047-97-106
- 莊書豪、賴文弘、江俊顯、郭宏賓（2014）。Numerical Analysis of Natural Convetion in a Two-Dimensional Retangular Enclosures with Partial Heated and Cool Walls。機械技師學刊，7(3)，14-22。https://doi.org/10.6208/JPME-2014-11-03
- 陳威任（2010）。Numerical Simulation of Natural Convection near Critical Ra Number in Tilted Square Cavity〔碩士論文，國立虎尾科技大學〕。華藝線上圖書館。https://doi.org/10.6827/NFU.2010.00086
- NITHYADEVI, N., KANDASWAMY, P., & SIVASANKARAN, S. (2006). NATURAL CONVECTION IN A SQUARE CAVITY WITH PARTIALLY ACTIVE VERTICAL WALLS: TIME-PERIODIC BOUNDARY CONDITION. Mathematical Problems in Engineering, 2006(), 195-210. https://doi.org/10.1155/MPE/2006/23425
- Sompong, P., & Witayangkurn, S. (2014). Numerical Study of Natural Convection in a Heated Enclosure with Two Wavy Vertical Walls Using Finite Element Method. Journal of Applied Mathematics, 2014(), 545-553-851. https://doi.org/10.1155/2014/853231