The posture of fluid flow at a high or low shear rate is characterized by the infinite shear viscosity concept based on the Cross-fluid (CF). This dynamical system has some characteristics to examine the extreme levels of the fluid along with the effects of inclined magnetic dipole mechanics. The current research is examines the infinite shear rate based on the CF past over the cylindrical channel. The velocity through an inclined magnetic field, based on the cylindrical geometry and the activation energy, is provided using mass transport along with the chemical reactions. Moreover, the thermophoresis effects, Brownian motion based on the nanoparticles, and binary chemical procedures are also provided in this study. The CF model is provided through the tensor of Cauchy stress along with the partial differential equations (PDEs). Similarity transformations have been used to convert the PDEs into ordinary differential equations. The numerical performances of the obtained system have been obtained by using the bvp4c method.