Physics 216/116 | Winter 2020

Lecture Notes

This page was last updated 27 Feb 2020.


Notes from Winter 2020

Notes 1a: Euler Equations and Ideal Fluids — posted 06 January 2020

Notes 1b: D'Alembert's Principle — posted 16 January 2020

Notes 2a: Microscopic Origins of Viscosity — posted 16 January 2020

Notes 2b: Viscous Fluids, Stokesian Dynamics, Scallop Theorem — posted 23 January 2020

Notes 3a: Vorticity, Vortices, Vortex Theorems — A Selection — posted 24 January 2020

Notes 3b: Homogenization and Helicity — posted 27 January 2020

Notes 4a: Instabilities — Rayleigh–Taylor, Interfaces, Surface Tension — posted 30 January 2020

Notes 4b: Rayleigh–Taylor in ICF — posted 30 January 2020

Notes 4c: Interfacial Instabilities Supplemental — posted 03 February 2020

Notes 4d: Kelvin-Helmholtz — posted 03 February 2020

Notes 5a: Instabilities 2a — Convection — posted 03 February 2020

Notes 5b: Instabilities 2b — Rotating Convection — posted 03 February 2020

Notes 6a: Instabilities, cont'd — Nonlinear Evolution — posted 07 February 2020

Notes 6b: Instabilities, cont'd — Nonlinear Evolution — posted 07 February 2020

Notes 7: Wakes — Structure and Implications; Zhukovskii's Theorem and Lift — revised version posted 20 February 2020

Notes 8: Boundary Layers — Prandtl's Plate: Self-Similar Solution for Plate; Ekman Suctin — posted 20 February 2020

Notes 9: Basics of Homogeneous Turbulence — posted 27 February 2020

Notes 10: Fluids in Flatland — 2D Flows and Turbulence — posted 27 February 2020

Notes 11: Inhomogeneous Turbulence and Pipe Flows — posted 27 February 2020



Notes from Winter 2019

Lecture II: Ideal Fluids — posted 10 January 2019

Lecture V: Convection 1 — posted 22 January 2019

Lecture VI: Rotating Convection — posted 24 January 2019

Lecture VII: Wakes — Stability and Structure — posted 28 January 2019

Lecture VIII: Boundary Layers — Blasius, Prandtl, Ekman — posted 31 January 2019

Lecture XI: Fluids in Flatland — An Introduction to 2D Flows, especially Turbulence — posted 14 February 2019

Lecture XII: Mixing Length Theory — Inhomogenous Turbulence — posted 14 February 2019

Lectures XIII and XXXIV: Fluid Dynamics of Accretion — posted 07 Mar 2019

Lecture XV: Crash Course in MHD and Basics of MRI — posted 07 Mar 2019

Notes from Winter 2018

Ideal Fluids — posted 25 January 2018

Potential Flow and Induced Mass — posted 25 January 2018

Convection Basics — posted 25 January 2018

Introduction to Rotating Convection — posted 25 January 2018

Interfacial Instabilities: Rayleigh–Taylor, Basics of Surface Tension, Kelvin–Helmholtz — posted 01 February 2018

Basic Physics of Laminar and Turbulent Wakes — posted 01 February 2018

Turbulence in Engineering Flows — posted 15 February 2018

An Introduction to Statistical Closure Theory — posted 15 February 2018

Fluids in Flatland I: Models, Dual Cascade, Zonal Flows — posted 22 February 2018

Fluids in Flatland II: Strong Rossby Wave Turbulence — Rhines Mechanism and Scale — posted 23 February 2018

Introduction to Polymer Drag Reduction — corrected version posted 19 March 2018

Polymer Drag Reduction, Continued — posted 19 March 2018


Notes on Random Coupling

Lecture 12d: Random Coupling 2 — 15 February 2018

Lecture 12e Random Coupling 3 — 15 February 2018

Lecture 12f: Random Coupling 4 — 15 February 2018



Notes from Winter 2017

Lecture II: Ideal Fluids and Potential Flow - Basics of Ideal Fluids and Euler Equations and Potential Flow and Induced Mass - posted 19 January 2017

Lecture V: Interfacial Instabilities-RT, KH - REposted 25 January 2017

Lecture VI: Basics of Rayleigh-Benard Convection - posted 27 January 2017

Lecture VI continued: Vorticity Freezing-In, Rotation, Taylor-Proudman Theorem - posted 27 January 2017

Lecture VIIa: Inertial Waves and Rotating Convection - posted 1 February 2017

Lecture VIIb: Simple Physics of Wakes - posted 1 February 2017

Lecture VIII: Laminar Boundary Layers - posted 3 February 2017

Lecture 11a: Turbulence Macroscopics-Prandtl Theory of Turbulent Boundary Layer - posted 22 February 2017

Lecture 11b: Turbulent Wakes, Thermal Boundary Layers - posted 22 February 2017

Lecture 12a: Renormalized Closures 1 - posted 22 February 2017

Lecture 12b: Renormalized Closures 2 - posted 22 February 2017

Lecture 12c: Random Coupling 1 - posted 22 February 2017

Lecture 12d: Random Coupling 2 - posted 22 February 2017

Lecture 12e: Random Coupling 3 - posted 22 February 2017

Lecture 12f: Random Coupling 4 - posted 22 February 2017

Lecture 17: Fluids in Flatland 1-Models - posted 8 March 2017

Lecture 18,19: Fluids in Flatland 2,3: 2D Turbulence,Structures,Rossby Wave Turbulence. - posted 15 March 2017

Lecture 20: Fluids in Flatland 4a | 4b - posted 17 March 2017