FLUID MECHANICS FIFTH EDITION PIJUSH K. KUNDU IRA M. COHEN DAVID R. DOWLING AMSTERDAMBOSTONHEIDELBERGLONDON NEWYORKOXFORDPARISSANDIEGO SANFRANCISCOSINGAPORESYDNEYTOKYO Academic Press is an imprint of Elsevier Academic Press is an imprint of Elsevier 225 WymanStreet, Waltham, MA 02451, USA The Boulevard, Langford Lane, Kidlington, Oxford, OX5 1GB, UK 2012Elsevier Inc. All rights reserved. Nopartofthispublicationmaybereproducedortransmittedinanyformorbyanymeans,electronicormechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing fromthePublisher.Detailsonhowtoseekpermission,furtherinformationaboutthePublisher’spermissionspolicies and our arrangements with organizations such as the Copyright Clearance Center and the Copyright Licensing Agency, can be found at our website: www.elsevier.com/permissions ThisbookandtheindividualcontributionscontainedinitareprotectedundercopyrightbythePublisher(otherthan as may be noted ...
D.Dowling, Univ. of Mich., July 2015 th Errata to: Kundu, Cohen, and Dowling, Fluid Mechanics, 5 Ed. (Academic Press, 2012). • Page 15. Under heading (ii) of “Second Law of Thermodynamics”, the subscript “rev” should be dropped from dq inside the integral, and in the text below this equation “dQ” should be “dq”. • Page 25. The two references to (1.32) on this page should instead be to (1.39). • Page 47. Equation (2.14). The last two summations should be over 'j' not 'i'. • Page 48. First summation of ...
MATH5453MFoundations of Fluid Dynamics Lecture 1: Continuum Hypothesis and Kinematics 1.1 Continuum hypothesis: Tritton, p.48–51; Kundu, p.5; Paterson, p.32–34 Liquids and gases are made up of large numbers of frequently colliding molecules. A key approximation in uid mechanics is the continuum hypothesis. This assumes a uid can be represented as a continuous medium, which has a density, a pressure and a velocity dened at every point inside the domain of interest. In almost all circumstances, these quantities are assumed continuous and dierentiable. When is assumption valid? (i) The continuum hypothesis applies when the shortest ...
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