The problem of Jeffrey’s nanofluid for a modification of Homann’s exterior potential flow in the stagnation region is modeled over a cylindrical disk. The characteristic of electrically conducting nanofluid flow with a time-independent free stream is noted as well. Due to this, a new family of asymmetric flows is created, which mainly depends on the viscoelastic parameter $k,$ magnetic parameter $M,$ and the stress-to strain rate ratio, i.e., $\gamma =\frac{b}{a}.$ By deploying Buongiorno’s model and Rosseland’s approximation, the outcomes of the Brownian diffusion, thermophoresis, and solar radiation on the mass and thermal boundary layer are also scrutinized. The conservation laws are remodeled by a similarity transformation, and the governing equations are solved by a builtin program bvp4c in Matlab. Furthermore, a comparison is made between the numerical outcomes and their large-γ asymptotics for wall stresses and displacement thicknesses. It is discovered that due to the impact of Jeffrey’s material parameters and magnetic field, when $\gamma$ reaches infinity, along the x-axis the two-dimensional displacement thickness and the coefficient of skin friction are closer to their asymptotic values; however, along the y-axis, they exhibit opposite trend. Moreover, the thermal and mass transport is enhanced due to significant contributions of nanofluid conductivity.

Jeffrey的纳米流体用于在停滞区域中修改Homann外部势流的问题是通过圆柱盘建模的。还指出了具有与时间无关的自由流的导电纳米流体流的特性。因此，创建了一个新的非对称流族，它主要取决于粘弹性参数$ķ，$ 磁参数 $\mathrm{中号}，$和应力应变率比，即，$\gamma =\frac{b}{\mathrm{一种}}。$通过部署Buongiorno模型和Rosseland逼近，还可以检查质量和热边界层上的Brownian扩散，热泳和太阳辐射的结果。通过相似性转换对守恒定律进行重构，并通过Matlab中的内置程序bvp4c求解控制方程。此外，比较了数值结果与壁应力和位移厚度的大γ渐近性。发现由于杰弗里材料参数和磁场的影响，当$\gamma$沿x轴到达无限远时，二维位移厚度和皮肤摩擦系数更接近其渐近值；然而，沿着y轴，它们呈现相反的趋势。此外，由于纳米流体电导率的显着贡献，提高了热和质量传递。