Abstract: We develop a compact analytical model for steady, axisymmetric flow of a power-law (non-Newtonian) fluid through a rotating, converging horizontal hollow cone. Extending the approach of [1], the model incorporates temperature-dependent rheology and particle loading through a generalized consistency index, and accommodates wall friction via Navier-slip and frictional boundary conditions on the rotating cone. The governing continuity, momentum, and energy equations are formulated in spherical coordinates and simplified under viscous-dominated asymptotic (low Reynolds number and large Ekman number). A nondimensional scaling argument justifies omission of Coriolis and centrifugal accelerations in the leading-order balance, and the azimuthal momentum equation reduces to a local torque-consistency condition that represents the distributed torque required to sustain steady rotation. The reduced formulation exposes the coupled influence of rotation, wall friction, temperature, and particulate concentration on shear rates and apparent viscosity, and identifies parameter regimes where higher-order corrections are required.

Keywords: Non-Newtonian fluid, Power-law, Rotating horizontal conical extrusion, Wall friction, non-linear viscosity, Spherical coordinates

Pages: 169-177