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 Fluidsposted 06 January 2020

Notes 1b: D'Alembert's Principleposted 16 January 2020

Notes 2a: Microscopic Origins of Viscosityposted 16 January 2020

Notes 2b: Viscous Fluids, Stokesian Dynamics, Scallop Theoremposted 23 January 2020

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

Notes 3b: Homogenization and Helicityposted 27 January 2020

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

Notes 4b: Rayleigh–Taylor in ICFposted 30 January 2020

Notes 4c: Interfacial Instabilities Supplementalposted 03 February 2020

Notes 4d: Kelvin-Helmholtzposted 03 February 2020

Notes 5a: Instabilities 2a — Convectionposted 03 February 2020

Notes 5b: Instabilities 2b — Rotating Convectionposted 03 February 2020

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

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

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

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

Notes 9: Basics of Homogeneous Turbulenceposted 27 February 2020

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

Notes 11: Inhomogeneous Turbulence and Pipe Flowsposted 27 February 2020



Notes from Winter 2019

Lecture II: Ideal Fluidsposted 10 January 2019

Lecture V: Convection 1posted 22 January 2019

Lecture VI: Rotating Convectionposted 24 January 2019

Lecture VII: Wakes — Stability and Structureposted 28 January 2019

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

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

Lecture XII: Mixing Length Theory — Inhomogenous Turbulenceposted 14 February 2019

Lectures XIII and XXXIV: Fluid Dynamics of Accretionposted 07 Mar 2019

Lecture XV: Crash Course in MHD and Basics of MRIposted 07 Mar 2019

Notes from Winter 2018

Ideal Fluidsposted 25 January 2018

Potential Flow and Induced Massposted 25 January 2018

Convection Basicsposted 25 January 2018

Introduction to Rotating Convectionposted 25 January 2018

Interfacial Instabilities: Rayleigh–Taylor, Basics of Surface Tension, Kelvin–Helmholtzposted 01 February 2018

Basic Physics of Laminar and Turbulent Wakesposted 01 February 2018

Turbulence in Engineering Flowsposted 15 February 2018

An Introduction to Statistical Closure Theoryposted 15 February 2018

Fluids in Flatland I: Models, Dual Cascade, Zonal Flowsposted 22 February 2018

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

Introduction to Polymer Drag Reductioncorrected version posted 19 March 2018

Polymer Drag Reduction, Continuedposted 19 March 2018


Notes on Random Coupling

Lecture 12d: Random Coupling 215 February 2018

Lecture 12e Random Coupling 315 February 2018

Lecture 12f: Random Coupling 415 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