Advection–diffusion Atangana–Baleanu derivative Autonomous Underwater Hovering Vehicle (AUH) Autonomous Underwater Vehicle (AUV) Buongiorno model Burgers’ fluid Hartmann number (Ha-value) History of engineering & technology Laplace transform MATHCAD MHD SA–NaAlg fluid Savonius vertical axis wind turbine Stehfest’s algorithm Vreman model airborne-launched AUV autonomous underwater hovering vehicle (AUH) autonomous underwater vehicle (AUV) computational fluid dynamics (CFD) concentrated source convergence analysis diffuser dimensionless frequency dissipative particle dynamics (DPD) dynamic one equation model electroosmotic flow energy entropy generation fractional derivative fractional model