Oldroyd-B流体绕拉伸楔形体的非稳态滑移流动与传热分析

Unsteady Slip Flow and Heat Transfer Analysis of Oldroyd-B Fluid Over the Stretching Wedge

研究了在速度滑移现象存在下,上随体Oldroyd-B流体绕加热的楔形体的非稳态流动.采用松弛-延迟热通量模型,模拟了传热过程和热延迟时间对传热的影响,通过考虑浮升力、热辐射和对流换热边界条件,进一步研究了流动及传热特性.利用同伦分析方法获得常微分方程组的近似解析解,发现滑移参数的增大可以促进流体的流动,以及流体的温度随热辐射参数增大而升高.此外还发现,温度场在热松弛时间和热延迟时间中出现相反的变化趋势.

The unsteady flow of the upper-convected Oldroyd-B fluid over the heated wedge in the presence of velocity slip was discussed.The process of heat transfer and the effect of the thermal retardation time on heat transfer were simulated with the relaxation-retardation heat flux model.The buoyancy,the thermal radiation and the convective heat transfer boundary condition were considered to further elucidate the flow and heat transfer characteristics.The homotopy analysis method was used to obtain the approximate analytical solutions to ordinary differential equations.It is found that the magnification of the slip parameter can promote the flow of fluid,and the fluid temperature rises with the thermal radiation parameter.In addition,the temperature field shows opposite trends in the thermal relaxation time and the thermal retardation time.