The repercussion of distance and radius of nanoparticles for the flow of inclined magnetic field through a porous sheet and space-dependent heating effects

Abstract The current study examines the inclined magnetic flow of nanoparticles with radiative flow and the Cattaneo-Christov dual diffusion model. The analysis involves the mixture of alumina Al 2 O 3 nanoparticles with (Carboxymethyl cellulose-water/ Al 2 O 3 ). In addition, this study examines how the arrangement and size of alumina nanoparticles affect the behaviour of nanofluid flow. The thermal Biot, solutal Biot, thermal source, and heat space dependent are also incorporated. The Cattaneo-Christov heat and mass flux formulas are used to make a gradual change to the heat and concentration equations. The current issue is represented using partial differential equations (PDEs), which are then transformed into ordinary differential equations by appropriate similarity transformations. The acquired highly nonlinear system of modeled equations has been solved by consuming the numerical approach through the boundary value problem Bvp4c method. The primary objective of this research is to examine the characteristics of velocity, temperature, and concentration in a nanofluid, specifically focusing on the impact of the size and spacing of aluminum nanoparticles. In addition, the calculation of heat and mass transfer is performed for the Cattaneo-Cristove dual diffusion. Velocity distribution has been depreciated for the enhancing values of magnetic field and porosity for interspacing and radius of nanoparticles. Moreover, drag friction is lower due to the larger values of the magnetic field and porosity variable.