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The viscoelastic characteristics of an incompressible, axisymmetric Casson–Maxwell nanoliquid flow between two stationary discs were examined in this paper. Two porous discs are constrained for uniform injection. The Christov model is used in conjunction with the Buongiorno model. In an energy equation with a nonlinear form, thermal radiation characteristics are used. In the current continuation, the impact of chemical reactions is taken into account, making the work more adaptable. Using appropriate transformations, the constructed model was transformed into a dimensionless form. The solution is obtained by employing the FEM technique. The related parameters are described using physical results. The radial velocity distribution at the center line was reduced using a magnetic parameter and a Casson parameter. When the Brownian motion constant and radiation parameter are increased, the temperature distribution of nanoparticles enhances. Furthermore, the rate of the reaction increases in the presence of a chemical reaction. Pearson's correlation coefficient was used to discover a relationship between the Sherwood and Nusslet numbers. To determine the linear relationship between variables, the t -test method is used. [ABSTRACT FROM AUTHOR]