Fluid Dynamics

This document was uploaded by one of our users. The uploader already confirmed that they had the permission to publish it. If you are author/publisher or own the copyright of this documents, please report to us by using this DMCA report form.

Simply click on the Download Book button.

Yes, Book downloads on Ebookily are 100% Free.

Sometimes the book is free on Amazon As well, so go ahead and hit "Search on Amazon"

Author(s): P. F. Linden, ed. Dexter Chua
Series: Cambridge Mathematical Tripos Part IB Lecture Notes
Publisher: University of Cambridge
Year: 2016

Language: English
City: Cambridge
Tags: maths; mathematics; math; advanced; college; university; higher; further; pure; applied; physics; fluid mechanics; fluid dynamics; vector; tensor; analysis

Introduction
Parallel viscous flow
Preliminaries
Stress
Steady parallel viscous flow
Derived properties of a flow
More examples
Kinematics
Material time derivative
Conservation of mass
Kinematic boundary conditions
Streamfunction for incompressible flow
Dynamics
Navier-Stokes equations
Pressure
Reynolds number
A case study: stagnation point flow (u = 0)
Momentum equation for inviscid (nu = 0) incompressible fluid
Linear flows
Vorticity equation
Inviscid irrotational flow
Three-dimensional potential flows
Potential flow in two dimensions
Time dependent potential flows
Water waves
Dimensional analysis
Equation and boundary conditions
Two-dimensional waves (straight crested waves)
Group velocity
Rayleigh-Taylor instability
Fluid dynamics on a rotating frame
Equations of motion in a rotating frame
Shallow water equations
Geostrophic balance