Overlapping multi-domain bivariate spectral quasilinearization method is applied on magnetohydrodynamic mixed convection slip flow over an exponentially decreasing mainstream with convective boundary conditions and nonuniform heat source/sink effects. The method is employed in solving the transformed flow equations. The convergence properties and accuracy of the method are determined. The method gives highly accurate results after few iterations and using few grid points in each space subinterval and the entire interval. The use of minimal numbers of grid points at each subinterval minimizes the effects of round-off errors that can lead to instabilities. The accuracy increases as the number of overlapping subintervals increases. The accuracy improvement is achieved through making the coefficient matrices less dense. The effects of controlling parameters on the flow fields and physical quantities of interest are studied. Results show that increasing Biot number and nonuniform heat source/sink enhances the flow fields while reducing skin friction and heat transfer rate. The fluid properties improve with injection whereas the flow characteristics augment with suction. The considered exponentially decreasing external flows have particular applications in diverging channel flows. This study has practical significance in various boundary layer problems such as in controlling and delaying boundary layer separation on control surfaces and in suppressing recirculating bubbles.

中文翻译：

---

具有非均匀热源/汇和对流边界条件的指数递减主流上 MHD 混合对流滑流的重叠多域谱方法

将重叠多域双变量谱准线性化方法应用于具有对流边界条件和非均匀热源/汇效应的指数递减主流上的磁流体动力混合对流滑流。该方法用于求解变换后的流动方程。确定了该方法的收敛特性和准确性。该方法经过多次迭代，在每个空间子区间和整个区间中使用少量网格点，即可得到高度准确的结果。在每个子区间使用最少数量的网格点可以最大限度地减少可能导致不稳定的舍入误差的影响。随着重叠子区间数量的增加，准确度也会增加。通过降低系数矩阵的密度来提高精度。研究了控制参数对感兴趣的流场和物理量的影响。结果表明，增加 Biot 数和不均匀的热源/汇会增强流场，同时降低皮肤摩擦和传热速率。流体特性随着注入而改善，而流动特性随着抽吸而增加。所考虑的呈指数下降的外部流量在分流渠道流量中具有特殊的应用。该研究对控制和延迟控制面上的边界层分离以及抑制循环气泡等各种边界层问题具有实际意义。结果表明，增加 Biot 数和不均匀的热源/汇会增强流场，同时降低皮肤摩擦和传热速率。流体特性随着注入而改善，而流动特性随着抽吸而增加。所考虑的呈指数下降的外部流量在分流渠道流量中具有特殊的应用。该研究对控制和延迟控制面上的边界层分离以及抑制循环气泡等各种边界层问题具有实际意义。结果表明，增加 Biot 数和不均匀的热源/汇会增强流场，同时降低皮肤摩擦和传热速率。流体特性随着注入而改善，而流动特性随着抽吸而增加。所考虑的呈指数下降的外部流量在分流渠道流量中具有特殊的应用。该研究对控制和延迟控制面上的边界层分离以及抑制循环气泡等各种边界层问题具有实际意义。