Significance of Solid–Liquid Interfacial Layers and Nanoparticle Diameter in Inclined MHD Nanofluid Flow: A Cattaneo–Christov Flux Model

The interfacial thermal resistance and enhancement of thermal conductivity in suspensions of solid nanoparticles are influenced by the liquid’s ordering at the liquid–solid interface. This study examined the influence of nonlinear thermal radiation, the heat source effect, Cattaneo–Christov heat and mass flux, and various convective boundaries on nanofluid flow over a stretching cylinder with microorganisms, while accounting for the concurrent effects of solid–liquid interfacial layers and inclined magnetohydrodynamics. A set of ordinary differential equations is created from the governing partial differential equations by applying suitable similarity transformations. The numerical results with shot accuracy are obtained through the Runge–Kutta method. The distribution of motile concentrations and concentration profiles decreases as the associated convective Biot parameters rise. The thermal and concentration profiles diminished with the temperature relaxation parameter Γt and the concentration relaxation parameter Γc. The contour plot demonstrates notable differences in the radiation parameter Rd and the Biot parameter Bit, whereas the heat transfer rate experiences the least impact from variations in the inclined magnetic field. The effect of the solid–liquid interfacial layer parameter on the different flow profiles is illustrated in the corresponding figures. The solid–liquid interfacial layer parameter-H modifies the flow structure, and thermal gradients demonstrate that the surface geometry has a substantial impact on heat transfer character. The probability plot highlights the intricate connections between restricted magnetic fields, intense radiation, and significant convective conditions by demonstrating ideal heat transfer. The three-dimensional graph, surface plot, and histogram depict the statistical evaluation of heat transfer.