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Eyring–Prandtl nanofluid is used in several areas for the purpose of flow control, improvement of stability, enhancement of heat transfer, and many others. Motivated by these uses, this work aims to investigate the transmission of heat in two-dimensional Eyring–Prandtl nanofluid flow across a moving plate under the influence of Stefan blowing effects in a Darcy-porous medium. The new aspect of the flow problem arises due to the moving plate having nonlinear velocity as well as inclusion of Stefan blowing and consideration of nanofluid. This creates a boundary layer flow over the plate. Similarity transformations are employed for obtaining self-similar structure of the leading equations. Self-similar solutions are found for a specific power law velocity of the moving plate. Numerical technique is adopted for finding solutions of the self-similar nonlinear equations. A thorough discussion and demonstration of the effects of fluid material parameters, medium permeability, Prandtl number, Lewis number, and other parameters on temperature, concentration, and velocity are made. The possible physical explanations are provided systematically. The permeability of the porous medium determines how the fluid is flowing in the porous medium. It restricts the velocity but temperature and concentration are enhanced. However, the Stefan blowing parameter has shown reverse effects on velocity and concentration. This study indicates that the two material fluid parameters involved in the momentum equation have opposite effects on temperature, concentration, and velocity. The basic essence of this study is to find the boundary layer flow structure developed over a moving plate in porous medium and heat, mass transfer influenced by the nanofluid. [ABSTRACT FROM AUTHOR]