In this paper, stagnation point region (suspended with nanofluid and microorganisms) is examined subjected to velocity and thermal slips. The flow is assumed to be flowing across an exponentially stretching flat surface under magnetic field environment. Governing transport equations (framed under Buongiorno's model) are converted into self-similar form through suitable unsteady exponential similarity transformations which are then solved by employing implicit finite difference scheme (IFDS) known as Keller-box method (KBM). A parametric analysis is performed along with limited details of KBM. Influence of pertinent constraints on local skin friction, local Nusselt number, local Sherwood number and local density number of micro-organisms are also uncovered through graphs. A significant decrease in skin-friction coefficients has been detected with respect to thermal slip in comparison to velocity slip.

在本文中，研究了停滞点区域（悬浮有纳米流体和微生物）受到速度和热滑移的影响。假定该流在磁场环境下流经指数拉伸的平面。通过适当的非稳态指数相似性转换，将控制性运输方程式（在Buongiorno模型下构建）转换为自相似形式，然后通过采用称为Keller-box方法（KBM）的隐式有限差分方案（IFDS）进行求解。与KBM的有限细节一起执行参数分析。还通过图形揭示了相关约束对局部皮肤摩擦，局部Nusselt数，局部Sherwood数和局部密度数的影响。