Fundamentals of Viscous Fluid Flow

This course covers the fundamental aspects of viscous fluid flow, a topic in fluid mechanics. It delves into the Navier Stokes equations, exact solutions for steady one-dimensional rectilinear flows, steady axis symmetric flows, and more. For instance, students will learn about the lubrication theory, laminar boundary layers, free shear flows, stability theory, and turbulent flows. The course also explores the fundamental concepts of fluid kinematics, focusing on the motion of fluids. It explains the Lagrangian and Eulerian approaches to fluid motion and the concept of substantial derivative. Furthermore, the course covers the derivation of the Navier-Stokes equation, a fundamental principle in fluid dynamics, and the differential form of the momentum equations. It also delves into the detailed explanation of the stress components in terms of the velocity gradient and the expression of the convective term in differential form. Lastly, it concludes with a discussion on the different types of initial and boundary conditions used to simplify the Navier-Stokes equation.