The problem of the numerical analysis of natural convection from a spinning cone with variable wall temperature, viscous dissipation and pressure work effect is studied. The numerical method used is based on the spectral analysis. The method used to solve the system of partial differential equations is the multi-domain bivariate spectral quasi-linearization method (MD-BSQLM). The numerical method is compared with other methods in the literature, and the results show that the MD-BSQLM is robust and accurate. The method is also stable for large parameters. The numerical errors do not deteriorate with increasing iterations for different values of all parameters. The numerical error size is of the order of 1 0 − 10 1{0}^{-10} . With the increase in the suction parameter ξ \xi , fluid velocity, spin velocity and temperature profiles decrease.

中文翻译：

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使用MD-BSQLM数值分析壁温和压力变化对纺丝锥自由对流的数值

研究了具有可变壁温，粘性耗散和压力功效应的纺纱锥自然对流的数值分析问题。所使用的数值方法基于光谱分析。用于求解偏微分方程组的方法是多域双变量谱拟线性化方法（MD-BSQLM）。将数值方法与文献中的其他方法进行了比较，结果表明MD-BSQLM是鲁棒且准确的。该方法对于大参数也是稳定的。对于所有参数的不同值，数值误差不会随着迭代次数的增加而恶化。数值错误大小约为1 0 − 10 1 {0} ^ {-10}。随着吸力参数ξ\ xi的增加，流体速度，自旋速度和温度曲线减小。