Fluid Dynamics

Fluid Dynamics by Finite Element Analysis     (Available in Oct. 1999)  

       By Gunnar Backstrom, Umea University, Umea, Sweden    

       www.phys.umu.se/gunnar/

This is the fourth volume of the series on the practical use of finite element analysis in physics. It exploits the convenient features of FlexPDE for solving problems concerning irrotational flow, even with circulation, viscous flow in Cartesian and cylindrical coordinates, both in the limit of low Reynolds number and for Re>>1. In order to profit fully from this approach to the understanding of fluid dynamics you should type the problem descriptors yourself, run them, modify them, and consider how the results compare with theory. The files included are a selection of examples from the book, which you can run directly, and even modify by trying different values in the Definitions section. You can also write your own problem descriptors, but the number of nodes will then be restricted.

CONTENTS

--------                                                                                    

Irrotational Flow Through a Constricted Channel:                flow71 

Forces on an Airfoil Caused by Circulating Irrotational Flow:        flow83   

Viscous Flow in a Channel With a Lateral Cavity:                flow95 

Viscous Flow Past a Circular Cylinder, Dissipated Power:        flow101b

Viscous Flow in a Constricted Tube, Kinetic Energy and Work Input:        flow111

Viscous Flow by Gravity through a Funnel, Dissipation:        flow122b  

Viscous Flow Past a Circular Cylinder at Re>>1:                flow132

Viscous Flow in a Tube at High Re:                        flow141  

Time-Dependent Viscous Flow, Natural Convection:        flow154