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durst f fluid mechanics introduction theory 2ed 2022

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Textbook in PDF format Fluid mechanics has undergone rapid developments in recent decades, which must also be reﬂected in textbooks on the subject. Improved measuring methods have been developed and used to investigate ﬂuid ﬂows experimentally. Numerical calculation methods have been developed and applied, which nowadays support developments in large parts of the industry. These developments provide insights into ﬂows that cannot be gained from mass balance considerations and the Bernoulli energy approaches alone. Numerical ﬂuid mechanics has established itself as a ﬁeld of knowledge that has become indispensable in the development departments of companies and research units in universities. Accordingly, education in ﬂuid mechanics needs to be theoretically deepened. After an introduction to the subject, the present book provides the necessary basic mathematical and physical knowledge to be used in various sub-areas of ﬂuid mechanics in order to develop a sound approach to these ﬁelds. In this second edition of the book on ﬂuid mechanics, greater emphasis has been placed on ensuring that the physical causes of diffuse transport processes are presented in an understandable manner. Analogous to the molecular transport processes of heat (heat conduction) and mass (mass diffusion), molecular momentum transport is also treated. The term ﬂuid friction, for molecular impulse transport, which is often mentioned in the literature, is avoided because it does not correspond to the correct physical process. In connection with modern ﬂuid mechanics, it is necessary to use the available mathematical and physical knowledge to derive the basic equations of ﬂuid mechanics. These derivations ﬁrst take place for ﬂows that do not show any gradients in the thermodynamic properties of the ﬂuids, in which the self-diffusion of mass is, therefore, zero. With this assumption, the “Conventional Basic Equations” (CBEs) can be derived and the necessary derivations are made in a manner such that the steps involved are easy to understand. There is then an extension of the considerations made to derive the “Expanded Basic Equations” of ﬂuid mechanics (EBEs). These also apply, under conditions that exist in ﬂuid ﬂows with strong density and temperature gradients or pressure and temperature gradients. Diffusion-driven mass, heat and momentum ﬂows occur, which have to be considered in the basic equations of ﬂuid mechanics, as is emphasized in this book. As a result, the book is extended compared with the ﬁrst edition, as far as the derivations of the basic ﬂuid mechanics equations are concerned. In some parts of the book, cuts have been made to the presentations in the ﬁrst edition in order to focus the content more on the sub-topics of ﬂuid mechanics that are important today. The orientation of the treatment of these topics has been maintained, i.e. introductory presentations in each of the sub-areas of ﬂuid mechanics were chosen in order to provide the basic knowledge with which the further literature can be read and understood. It is important to emphasize that the derivations of the basic equations of ﬂuid mechanics for ﬂuid particles (Lagrangian considerations) and control volumes (Eulerian considerations) are presented in this book. The purpose of this is to ensure that the basic knowledge that leads to the continuity, momentum and energy equations is available in such a way that the equations are applied with a deep understanding of their validity limits. This may help to determine when the conventional basic equations of ﬂuid mechanics can be applied and when the extended equations need to be used. The latter have to be applied in ﬂows with strong pressure and temperature gradients, e.g. in micro-channel ﬂows, shock wave ﬂows, ﬂows with high-temperature gradients, etc. The structure of the treatment of the different areas of ﬂuid mechanics, chosen by the author in the ﬁrst edition, has been retained. Hence, the representations in the various chapters were chosen so that each chapter can be dealt with in about a week, with two times two hours of lectures per week in a semester. Overall, the book provides the material for a two-semester lecture program on ﬂuid mechanics, for which the book can be used for teaching. It is, of course, also suitable for self-education, but it requires a high degree of self-discipline in order to work through the chapters with the presented sequence of topics

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durst f fluid mechanics introduction theory 2ed 2022