论文部分内容阅读
对考虑辐射传热、流体黏度随温度变化、有和无滑移边界条件下的可渗透竖直平板Blasius流层流边界层的无量纲速度场与温度场进行了深入研究.经相似变换将描述速度场与温度场耦合的偏微分方程组转换成非线性常微分方程组,用Runge-Kutta法对常微分方程组进行了数值求解.研究了无量纲参数对无量纲速度场及温度场的影响,着重分析了滑移边界条件下速度和温度随无量纲参数的变化规律.结果表明:吸入时边界层变薄,喷注时边界层加厚;对比于无滑移边界条件,滑移边界条件下速度、温度边界层变薄;随着变黏度参数a或喷注与吸入参数的增大,壁面摩擦因数、局部努塞尔数Nu增大,速度和温度边界层变薄;随着普朗特数Pr、热辐射参数R的增加,或毕渥数Bi,布林克曼数Br的减小,温度边界层变薄.
The dimensionless velocity field and temperature field of the laminar boundary layer of permeable vertical slab Blasius flow considering the radiative heat transfer and fluid viscosity change with temperature and with and without slippage boundary conditions are studied in detail. The system of partial differential equations coupled with velocity field and temperature field is transformed into a group of nonlinear ordinary differential equations. The Runge-Kutta method is used to solve the ordinary differential equations. The influence of dimensionless parameters on dimensionless velocity field and temperature field , The changing law of dimensionless speed and temperature with the slipless boundary condition are emphatically analyzed.The results show that the boundary layer becomes thinner and the boundary layer is thickened at the time of injection.Compared with the non-slip boundary condition, the slip boundary condition The velocity and temperature boundary layer become thinner; as the variable viscosity parameter a or the injection and suction parameters increase, the wall friction coefficient and local Nusselt number Nu increase, and the velocity and temperature boundary layer become thinner; Pr, the increase of the thermal radiation parameter R, the decrease of the Bi-number Bi and the Brinker number Br, and the decrease of the temperature boundary layer.