Convective Flow of Non-homogeneous Fluid Conveying Nano-Sized Particles with Non-Fourier Thermal Relaxation: Application in Polymer Coating

The present article addresses the steady incompressible convective flow of kinetic theory-based Eyring–Powell fluid conveying nano-sized particle from a vertical plate with boundary condition and distribution nanoparticles fraction over its surface. Cattaneo–Christov model is imposed to scrutinize heat transfer analysis. A revised Buongiorno adopted, which considers zero nanoparticle flux at wall surface simulates physically more viable scenarios for distribution. study has applications in designing exchangers, cooling metallic plates, coating dynamics, etc. reduced nonlinear equations $$(\eta ,\xi )$$ coordinate system transformed (x, y) non-similar nature are solved by using two efficient techniques: Sparrow–Yu local non-similarity method Liao Homotopy Analysis Method (HAM). Excellent corroboration converged results both methods achieved existing results. In order discuss influence thermophysical parameters, HAM simulations have been presented graphically tabulated visualize skin friction coefficient, rate (Nusselt number) mass (Sherwood layer regime. It observed that attains higher velocity but lower temperatures than Newtonian particle. Skin factor exhibits an inverse relation Deborah (viscoelastic) number thermal relaxation parameter. Nusselt increases whereas Sherwood decreases increment parameter mixed convection current furnish interesting insights into non-Newtonian nano-coating dynamics relevance polymer processing industry.