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就圆锥体表面受到可变表面热通量作用,计及磁场和热辐射的综合影响,数值研究了流经竖直圆锥体的自然对流及其热交换特点.认为流体是灰色的、吸收-发射的辐射介质,而非散射介质,通过近似变换,将自由对流区中流动的边界层控制方程,简化为无量纲方程.利用Crank-Nicol-son形式的隐式有限差分法(具有收敛快、精度高、无条件稳定的特点),求解了无量纲的控制方程.得到了数值结果,以及空气和水中的速度、温度、局部和平均的壁面剪应力、局部和平均的Nusselt数.将所得到的结果与先前文献报道的结果进行比较,发现两者有着很好的一致性.
The surface of the cone is subjected to a variable surface heat flux and the effects of magnetic field and heat radiation are considered. The natural convection and its heat exchange characteristics through the vertical cone are numerically studied. The fluid is considered as gray, absorption-emission Of the radiative medium rather than the scattering medium, the governing equations of the boundary layer flowing in the free-convection zone are reduced to the dimensionless equations through approximate transformation. By using the Crank-Nicol-son form of implicit finite difference method (with fast convergence, High and unconditionally stable), the non-dimensional governing equations are solved and the numerical results are obtained, as well as the velocity and temperature in air and water, the local and average wall shear stresses, the local and average Nusselt numbers, and the results obtained Compared with the results reported in the previous literature, we found that there is a good agreement between the two.