Effects of aligned magnetic field and thermal radiation on an unsteady MHD Jeffrey nanofluid flow past an isothermal inclined plate

We explore the impact of the aligned magnetic field, buoyant force, and thermal radiation on the unsteady MHD-free convection of momentum and energy transmission in a viscous, incompressible, electrically conducting water-based Cu and TiO\(_2\) Jeffrey nanofluid. We consider radiation absorption and thermo diffusion. The flow occurs along permeable objects with isothermal inclined plates, with Cu and TiO\(_2\) in water being the focus. Analytic solutions for the governing equations of fluid velocity, temperature, and species concentration are derived using the perturbation method, considering initial and boundary conditions. Results for shear stress and the heat and mass transfer rates at the plate are presented graphically, along with tables for various flow characteristics.