The main motive of this work is to study the effects of nonlinear radiation and mixed convection for the Casson nanofluid through the thin needle. Mass transfer is further characterized by activation energy. Temperature-dependent viscosity and a variable magnetic field are assumed for the current problem. The consequences of the physical framework on the velocity, temperature and species including the impact of radiative heat flux are discussed. The partial differential equations of the physical model are achieved using the concept of boundary layer approximation and are remolded into the ordinary differential mathematical statement which is coupled nonlinear, by substituting specific similarity transformations. By making the use of built-in MATLAB bvp4c function, the results are calculated and arranged in the manner of graphs and tables. The effects of different physical parameters of our interest such as the Casson fluid parameter, Brownian motion, Prandtl number, buoyancy ratio parameter, thermal radiation, thermophoresis parameter, Schmidt number and relaxation time are examined for the velocity, concentration and temperature profiles.

这项工作的主要目的是研究通过细针对卡森纳米流体的非线性辐射和混合对流的影响。传质的特征还在于活化能。对于当前问题，假设温度依赖的粘度和可变的磁场。讨论了物理框架对速度，温度和物质的影响，包括辐射热通量的影响。物理模型的偏微分方程是使用边界层逼近的概念实现的，并且通过替换特定的相似变换，被重新建模为耦合非线性的普通微分数学表达式。通过使用内置的MATLAB bvp4c函数，可以以图形和表格的方式来计算和排列结果。