HUAI Wen-xin, ZENG Yu-hong. Similarity Solutions of Vertical Plane Wall Plume Based on Finite Analytic Method[J]. Applied Mathematics and Mechanics, 2007, 28(4): 406-412.
 Citation: HUAI Wen-xin, ZENG Yu-hong. Similarity Solutions of Vertical Plane Wall Plume Based on Finite Analytic Method[J]. Applied Mathematics and Mechanics, 2007, 28(4): 406-412.

Similarity Solutions of Vertical Plane Wall Plume Based on Finite Analytic Method

• Rev Recd Date: 2007-01-25
• Publish Date: 2007-04-15
• The turbulent flow of vertical plane wall plume with concentration variation was studied with the finite analytical method. The k-epsilon model with the effect of buoyancy on turbulent kinetic energy and its dissipation rate was adopted. There were similarity solutions in the uniform environment for the system of equations including the equation of continuity, the equation of momentum along the flow direction and concentration, and equations of k, epsilon. The finite analytic method was applied to obtain the similarity solution. The calculated data of velocity, relative density difference, the kinetic energy of turbulence and its dissipation rate distribution for vertical plane plumes are in good agreement with the experimental data at the turbulent Schmidt number equal to 1.0. The variations of their maximum value along the direction of main flow were also given. It shows that the present model with numerical method is good, i. e., the effect of buoyancy on turbulent kinetic energy and its dissipation rate should be taken into account. The finite analytic method is effective.
•  [1] 〖KG*2〗〖ZK(〗Ellison T H, Turner J S. Turbulent entrainment in stratified flows[J].J Fluid Mech,1959,〖STHZ〗6〖STBZ〗(2):423-448.〖ZK)〗 [2] 〖KG*2〗〖ZK(〗福捷二，福介，中村健一.二次元贮水池密度流の潜りる水深ょ界面形状[J].土木学会论文报告集，1980,〖STHZ〗302〖STBZ〗(1):55-65.〖ZK)〗 [3] 〖KG*2〗〖ZK(〗Yoshida J. On the velocity fields and their variations in the two-dimensional forced plumes and the behavior of the two-dimensional dual plumes[D].Tokyo:University of Tokyo,1982.〖ZK)〗 [4] 〖KG*2〗〖ZK(〗Grella J J, Faeth G M.Measurements in a two-dimensional thermal plume along a vertical adiabatic wall[J].J Fluid Mech,1975,〖STHZ〗71〖STBZ〗(4):701-710.〖ZK)〗 [5] 〖KG*2〗〖ZK(〗Ljuboja M, Rodi W. Prediction of horizontal and vertical turbulent bouyant wall jet[J].ASME Journal of Heat Transfer,1981,〖STHZ〗103〖STBZ〗(2):343-349.〖ZK)〗 [6] 〖KG*2〗〖ZK(〗Paullay A J,Melnik R E,Rubel A,et al.Similarity solutions for plane and radial jets using a 〖WT5”BZ〗k-ε 〖WT5”B4〗turbulence model[J].Trans ASCE J Fluid Engineering,1985,〖STHZ〗107〖STBZ〗(3):79-85.〖ZK)〗 [7] 〖KG*2〗〖ZK(〗福介.〖WT5”BZ〗k-ε〖WT5”B4〗乱流モデルよにゐ平面二次元密度喷流と喷流の相似解析[J].土木学会论文报告集，1989,〖STHZ〗405〖STBZ〗(5):147-154.〖ZK)〗 [8] 〖KG*2〗〖ZK(〗槐文信，李炜.圆形射流和卷流的相似解[J].应用数学和力学，1993，〖STHZ〗14〖STBZ〗（7）：615-623.〖ZK)〗 [9] 〖KG*2〗〖ZK(〗槐文信，李炜. 径向射流的相似分析[J].水利学报，1992，〖STHZ〗23〖STBZ〗（9）：50-58.〖ZK)〗 [10] 〖ZK(〗福介. 乱流モデルよにゐ倾斜壁面密度喷流の解析[J].土木学会论文报告集，1988,〖STHZ〗399〖STBZ〗(10):65-74.〖ZK)〗 [11] 〖ZK(〗槐文信，赵明登，童汉毅.河道及近海水流的数值模拟[M].北京：科学出版社，2005.〖ZK)〗

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