Steady Axisymmetric Flow

This course covers the comprehensive exploration of fluid dynamics in cylindrical coordinates. It begins with an in-depth study of Navier Stokes equations, focusing on finding exact solutions in pipe flow. For instance, it solves two different problems: Hagen Poiseuille flow and flow through an annulus. The course further explains the continuity equation, momentum equation, and components of the viscous stress tensor for incompressible Newton fluid. It also discusses the concept of axisymmetric flow and its application to the Z component of the momentum equation. The course then delves into the concepts of velocity distribution, volume flow rate, and shear stress for thin film and annular flows. It provides a detailed explanation of the derivation of the ordinary differential equation from the Navier Stokes equations using certain assumptions. Lastly, the course covers the exact solutions of the Navier Stokes equation in a cylindrical coordinate system, focusing on the study of steady axisymmetric flows between rotating cylinders.