Fluid Flow and Natural Coordinate System I — Lesson 1

This lesson covers the finite element modeling of fluid flow problems, focusing on the heat conduction problem and the development of a finite element-based model. The lesson delves into the significance of material flow, the governing equation of fluid flow, and the formulation of the finite element for a particular element. It also discusses the continuity equation, momentum equation, and energy conservation equation. The lesson further explains the concept of a control volume and the different phenomena associated with it. It also introduces the concept of a natural coordinate system and the master element to solve a heat conduction problem. The lesson concludes with a discussion on coordinate transformation.

Video Highlights

01:35 - Basic formulation of the governing equation of fluid flow problems
08:00 - Concept of energy conservation in fluid flow problem
13:00 - Importance of understanding the concept of strain energy in fluid flow problem
22:56 - Explanation of the energy equation and how it is used to solve fluid flow problems
41:12 - Navier-Stokes equation and how it is used in viscous flow problems
54:14 - concept of coordinate transformation and its importance in finite element analysis

Key Takeaways

- The finite element model is developed by looking into the fluid flow problem, which is mostly associated with the feature rolling process.
- The governing equation of the fluid flow problem includes the continuity equation, momentum equation, and energy conservation equation.
- The Navier–Stokes equations are partial differential equations which describe the motion of viscous fluid substances.