具有热源项的驻点流动和传热问题的近似解析解(英文)

An analytical approximate solution of plane and axisymmetric stagnation-point flow with heat generation

研究持续拉伸变形表面上二维平面和轴对称驻点流的动量和热量传输问题。利用同伦分析方法获得速度分布和温度分布的级数解,讨论了级数的敛散性。通过图形分析主流速度与拉伸速度的比率参数,普朗特参数,热源参数和流动类型指标对速度边界层和温度边界层的影响。结果表明,这些参数对二维平面驻点流动和传热有较大的影响。

This work is focused on the steady boundary layer flow and heat transfer near the stagnation point of plane and axisymmetric bodies towards a stretching sheet.The analytical solutions of the velocity and temperature distributions are obtained for the various values of the ratio of free stream velocity and stretching velocity,heat source parameter,Prandtl number and dimension index in the series forms with the aid of homotopy analysis method（HAM）.Convergence of the series is explicitly discussed.The effects of all the parameters mentioned above were more pronounced for plane flows than for axisymmetric flows.