Impact of Thermal Radiation on Water-Based Hybrid Nanofluid (\(\hbox {Cu}\)–\(\hbox {Al}_2\hbox {O}_3\)–\(\hbox {H}_2\hbox {O}\)) Flow Over a Forward/Backward Moving Vertical Porous Plate

A complex and fascinating field of study with a wide range of applications can be created by combining natural convection, hybrid nanofluid, thermal radiation, magnetohydrodynamics (MHD), Laplace transform, heat generation/absorption, and forward/backward moving vertical plates. The novelty of this research lies in its comprehensive exploration of heat transport in a specific hybrid nanofluid with a focus on multi-physics interactions, plate motion scenarios, and the application of mathematical techniques. These factors make the study a valuable contribution to heat transfer and fluid dynamics, with potential applications in various engineering and industrial settings. Therefore this work deals with the analysis of an unsteady, electrically conducting, water-based hybrid nanofluid across a forward and backward moving vertical porous plate. Using Laplace transform techniques, the temperature and velocity distributions of a hybrid nanofluid (\(\hbox {Cu}\)–\(\hbox {Al}_2\hbox {O}_3\)–\(\hbox {H}_2\hbox {O}\)) at different fluid parameters, such as MHD, radiation, porosity, and the heat generation/absorption values at the moment of the plate moving forward and backward, are obtained. The brightly overlaid graphical representation conveys the velocity and temperature distributions.