Fluid Mechanics by Prof. Guojun Xin (辛国君)

Before 2016, 48 hours

Chapter 1: Vector and Tensor Introduction

Field Theory           Tensor 1           Tensor 2          

Chapter 2: Fluid Introduction and Motion Description

Fluid Introduction           Langrange and Euler           Velocity           Forces          

Chapter 3: N-S Equations

NS Equations 1           NS Equations 2           NS Equations 3          

Chapter 4: Static Fluid

Static Fluid          

Chapter 5: Vortex

Vortex Motion 1           Vortex Motion 2          

Chapter 6: Inviscid Flow

Inviscid Flow          

Fluid Mechanics 2016

Winter 2016, 48 hours, 29 undergraduate students

Introduction of fluids; fluid motion; equations of motion (the Navier-Stokes Equations); simple solutions of the viscous flow equations; dynamical similarity; vorticity and vortex motion; waves; instability

Fluid Mechanics 2017

Spring 2017, 48 hours, 52 undergraduate students

Introduction of fluids; fluid motion; equations of motion (the Navier-Stokes Equations); simple solutions of the viscous flow equations; dynamical similarity; vorticity and vortex motion; waves; convection; instability

Introduction           Fluid Properties           No Source Field and No Rotation Field           Equations_18-26_Page19          
Curvilinear Coordinates           Divergence in Curvilinear Coordinate           Kinematics I           Kinematics II          
Homework_March28           Homework_April06           Fluid_Motion_Equations           Nondimensionalization           
Homework and Book Chapter 4           Chapter 6: Vortex (part I)           Chapter 6: Vortex (part II)          
Chapter 6: Vortex (part III)           Chapter 7: Waves I           Wave Fundamentals by Geoff. K. Vallis          
Surface Gravity Waves by Benoit Cushman-Roisin           The Final 2 hours          
Week Seminar In Atmospheric and Oceanic Sciences 2017

Fall 2017, North 547 of Physics School Building, Dept. of Atmospheric and Oceanic Sciences, Peking Univ.

Fluid Mechanics 2018

Spring 2018, 48 hours, 65 undergraduate students

Introduction of fluids; fluid motion; equations of motion (the Navier-Stokes Equations); simple solutions of the viscous flow equations; vorticity and vortex; waves; convection

Chapter 1: Fluid Introduction

Introduction           Fluid Properties           No Source Field and No Rotation Field          

Chapter 2: Vector and Tensor

Kinematics I           Kinematics II          

Chapter 3: N-S Equations

Navier-Stokes Equations I           Navier-Stokes Equations II           Navier-Stokes Equations III           Reynolds Transport Theorem          
Videos in Fluid Mechanics

All of the videos were downloaded from internet websites, such as youtube. They were NOT made by the instructer.

1. Fluid Introduction:

Carbon Dioxide           Stunning Flow          

2. Curl and Rotation:

Curl           Rotational and Irrotational Flow           Effects_of_the_Coriolis_Force          

3. Vector and Tensor:

What is a tensor?          

4. Reynolds Transport Theorem :

Reynolds Transport Theorem          

5. Diffusion:

Double Diffusion 1           Double Diffusion 2          

6. Vortex:

Vortex in the Atmosphere           Vortex in the Ocean           Vortex Ring           Saturn and Enceladus           Vortex in a Lake           Pool Vortex I           Pool Vortex II           Vortex Collision I           Vortex Collision II           Dolphin and Vortex           Rocket and Vortex           Vorticity Transport          

7. Waves:

Types of Waves           Group Velocity I           Group Velocity II           Group Velocity III           Group Velocity IV           Standing Waves           Surface Gravity Waves           Winds and Waves           Tsunami          

8. Convection:

Rayleigh Benard Convection          

9. Instability:

Kelvin Helmholtz Instability           Baroclinic Instability          

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Made by Zhang Lecong @ PKU.
Email: 1400012729 at pku dot edu dot cn