Hall current and heat generation impacts on free convective, radiative, chemically reactive and rotating fluid flow over an accelerated isothermal inclined plate

Resumen

This work presents a comprehensive investigation of Magnetohydrodynamic (MHD) flow past an accelerated, isothermal, inclined plate within a rotating fluid environment, emphasizing the combined influence of Hall current and internal heat generation or absorption. The formulation incorporates variable mass diffusion, thermal radiation, and chemical reactions, leading to a coupled system of partial differential equations governing the velocity, temperature, and concentration fields. These equations are solved analytically using the Laplace transform technique under suitable initial and boundary conditions. The study distinguishes itself by systematically exploring how major physical parameters—such as the magnetic field, Hall current, rotational effects, porous medium permeability, radiation, and reactive species—shape the transport behaviour of the fluid. Validation against previously reported results confirms the accuracy and robustness of the model. Key findings reveal that fluid velocity increases with both the porous medium parameter(K)and the Hall current parameter, highlighting their role in enhancing flow acceleration. Temperature reduces noticeably with larger Prandtl numbers and heat absorption, while heat generation induces a marked rise in thermal distribution. These insights are relevant to several technological and natural processes, including MHD power systems, thermal management devices, and astrophysical fluid dynamics.