The study is focused on flow of fluid within conical gap between a cone and a disc placed in a Darcy porous medium. In order to get physically realistic and practically applicable results, multiple slip boundary conditions have been incorporated. By employing appropriate similarity transformations (developed by Group theory), the governing partial differential equations for momentum, energy, nanoparticle volume fraction and bio-convection are transformed into a set of nonlinear ordinary differential equations with coupled boundary conditions. These equations are then solved by semi-analytical approach using differential transformation method (DTM), and numerically by finite difference method. The primary aim is to explore the impact of cone and disc rotations, as well as other parameters, on the flow characteristics under different rotational scenarios. Particularly noteworthy is the examination of the angle between the cone and the disc due to its significance in various engineering applications such aerodynamic engineering, construction industries, medical applications and others.
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