Hagen-Poiseuille flow: a detailed complete solution to the Navier-Stokes equation скачать в хорошем качестве

Hagen-Poiseuille flow: a detailed complete solution to the Navier-Stokes equation

[Elementary Fluid Dynamics]: This is a talk on the analytical solution of Navier-Stokes equation for a laminar pipe flow, the Hagen-Poiseuille flow, which is a laminar flow in a horizontal pipe, under a pressure gradient. Such a flow is axi-symmetric about the pipe central line, thus the flow can be treated in 2D. In the solution, the detailed methods, including the problem analysis, the equation simplification and the solution step-by-step, thus a complete solving method is presented. Following are the topics in this talk: Introduction of fluid dynamic equations and how to solve them Introduction of Hagen-Poiseuille flow (laminar pipe flow) Problem analysis and equation simplifications Solution of the equation A discussion of the pipe flow: laminar and turbulent