Introduction

Introduction

Conservation of momentum inertia pressure/gravity viscous

Flows and force balances • 1. Slow flow in a slot • 2. Oscillating slow flow • 3. Small-amplitude waves • 4. Fast flow away from an object • 5. Fast flow near an object • a. inertia ~ pressure/gravity • b. viscous ~ inertia ~ pressure • c. viscous ~ inertia • d. viscous ~ pressure

Viscous flow in a slot or pipe U Flow driven by a moving wall Flow driven by a pressure gradient

Viscous slot flow: extensions Glacier movement Groundwater Flow in the mantle

Viscous slot flow: extensions Particle settling Swimming of organisms Sediment transport

Turbulent flow in a slot or pipe Transition to turbulence “Law of the wall”

Turbulent pipe flow: extensions Open channel flow Glacier movement Municipal hydraulics Flow in vegetated channels

Unsteady viscous flow U U Oscillating plate Impulsively started plate

Unsteady viscous flow: extensions River mixing

Waves Surface waves of small amplitude

Waves: extensions Wave spectra Internal waves Solitary waves

Boundary layers

Boundary layers: extensions Gravity currents and salt wedges Biofilms Jets & plumes Diffusive BL in a lake

Introduction

Introduction

Presentation Transcript

Introduction to introduction to introduction to … Optimization

INTRODUCTION/ INTRODUCTION

Introduction

INTRODUCTION

Introduction

Introduction