Jump to ContentJump to Main Navigation
An Introduction to Nonlinear Finite Element Analysis$
Users without a subscription are not able to see the full content.

J. N. Reddy

Print publication date: 2004

Print ISBN-13: 9780198525295

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780198525295.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2020. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 03 December 2020

Flows of Viscous Incompressible Fluids

Flows of Viscous Incompressible Fluids

(p.229) 7 Flows of Viscous Incompressible Fluids
An Introduction to Nonlinear Finite Element Analysis


Oxford University Press

Fluid mechanics is concerned with the motion of gases and liquids and their interaction with the surroundings. A fluid can either be inviscid (the viscosity is assumed to be zero) or incompressible (with constant density). Both an inviscid and an incompressible fluid are termed an ideal or a perfect fluid. A real fluid is one with finite viscosity, and it may or may not be incompressible. When the viscosity of a fluid depends only on thermodynamic properties, and the stress is linearly related to the strain rate, the fluid is said to be Newtonian. This chapter reviews the governing equations of flows of incompressible fluids, develops finite element models based on alternative formulations, and discusses computer implementation of the finite element models. Simple examples of applications of the finite element models are given. The boundary conditions are also discussed, along with the conservation of mass, conservation of energy, conservation of momenta, and stresses.

Keywords:   finite element models, incompressible fluids, viscosity, computer implementation, boundary conditions, conservation of mass, conservation of energy, conservation of momenta, stresses, governing equations

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .