In this paper, numerical study of nanoparticles immersed in a viscoelastic fluid is discussed. The condition of zero normal flux is assumed which means that no mass flux exists near the variable thick surface. To control the arbitrary motion of nanoparticles, magnetic field is applied at the surface of sheet. After boundary layer, the governing partial differential equations are converted into ordinary differential equations by means of similarity transformations. The following system is calculated numerically by employing shooting method in conjunction with RK-five method. The velocity profile shows an increasing behavior for large values of α and λ. The base flow temperature profile reduces for increasing values of $\mathrm{Pr}$number and $N_b$ parameter. Also, the results for skin frictions coefficient, mass and heat transport rate are explored with the help of tables. A comparative study has been made with prior published work.

在本文中，讨论了浸入粘弹性流体中的纳米颗粒的数值研究。假设法向通量为零的条件，这意味着在可变厚表面附近不存在质量通量。为了控制纳米粒子的任意运动，在片材表面施加磁场。在边界层之后，控制偏微分方程通过相似变换转化为常微分方程。以下系统采用射击法结合RK-5法进行数值计算。对于较大的 α 和 λ 值，速度剖面显示出增加的行为。基流温度曲线随着值的增加而降低$\mathrm{压力}$数量和 $N_{乙}$范围。此外，还借助表格探索了皮肤摩擦系数、质量和热传输率的结果。已与先前发表的工作进行了比较研究。