Charlier polynomial collocation approach to analyse tetra hybrid nanofluid dynamics in porous sliders

Purpose This study aims to examine the effects of a magnetic field and convective heat transmission on the tetra-hybrid nanofluid flow through a squeezing porous slider subjected to a heat source/sink. The effects of linear and nonlinear thermal radiation (N-TR) on fluid flow are accounted for to assess heat transfer characteristics. Design/methodology/approach Suitable similarity variables are used to reduce nonlinear partial differential equations to dimensionless ordinary differential equations. The reduced equations are numerically solved using the Charlier polynomial collocation method. The effects of dimensionless parameters on the flow and thermal behaviour of the liquid were depicted using graphs. Findings The outcome shows that an increase in the magnetic field and wall-dilation parameters reduces the velocity profile. N-TR more strongly affects the thermal profile than linear radiation. The higher value of the heat sink/source parameter amplifies the temperature profile. Practical implications The behaviour of nanofluid flow and heat transfer in a squeezing porous slider is crucial for systems that require precise thermal control and efficient lubrication in fluctuating conditions. In slider systems, tetra-hybrid nanofluids improve lubrication and thermal conductivity. This helps to improve engineering uses, such as energy systems, biomedical devices and bearings. Originality/value The study’s originality lies in examining the tetra-hybrid nanofluid motion past a permeable squeezing slider with the impact of a magnetic field. This study integrates both linear and N-TR effects to represent actual radiative heat transfer behaviour accurately. This extensive framework offers novel physical insights relevant to advanced heat management systems and lubrication technologies.