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Titlebook: Inviscid Fluid Flows; Hilary Ockendon,Alan B. Tayler Book 1983 Springer Science+Business Media New York 1983 Flows.Str?mung.calculus.fluid

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書目名稱Inviscid Fluid Flows
編輯Hilary Ockendon,Alan B. Tayler
視頻videohttp://file.papertrans.cn/476/475045/475045.mp4
叢書名稱Applied Mathematical Sciences
圖書封面Titlebook: Inviscid Fluid Flows;  Hilary Ockendon,Alan B. Tayler Book 1983 Springer Science+Business Media New York 1983 Flows.Str?mung.calculus.fluid
描述Applied Mathematics is the art of constructing mathematical models of observed phenomena so that both qualitative and quantitative results can be predicted by the use of analytical and numerical methods. Theoretical Mechanics is concerned with the study of those phenomena which can be ob- served in everyday life in the physical world around us. It is often characterised by the macroscopic approach which allows the concept of an element or particle of material, small compared to the dimensions of the phenomena being modelled, yet large compared to the molecular size of the material. Then atomic and molecular phenomena appear only as quantities averaged over many molecules. It is therefore natural that the mathemati- cal models derived are in terms of functions which are continuous and well behaved, and that the analytical and numerical methods required for their development are strongly dependent on the theory of partial and ordinary differential equations. Much pure research in Mathematics has been stimu- lated by the need to develop models of real situations, and experimental observations have often led to important conjectures and theorems in Analysis. It is therefore important t
出版日期Book 1983
關(guān)鍵詞Flows; Str?mung; calculus; fluid mechanics; mechanics; modeling; numerical methods; fluid- and aerodynamics
版次1
doihttps://doi.org/10.1007/978-1-4612-1138-9
isbn_softcover978-0-387-90824-3
isbn_ebook978-1-4612-1138-9Series ISSN 0066-5452 Series E-ISSN 2196-968X
issn_series 0066-5452
copyrightSpringer Science+Business Media New York 1983
The information of publication is updating

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Mathematical Models of Fluid Flows,cosity can be neglected but will deal with both incompressible and compressible fluids. In this chapter we derive the equations of flow. We shall do this briefly so that the equations are available and the underlying assumptions made clear.
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Free Boundary Problems,s which are shown in Figure. The first is a jet impinging on a fixed wall and the second is a jet emerging from a hole in the wall of a large reservoir. These situations may either be two or three-dimensional, but we can make more analytical progress in the two-dimensional case.
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Compressible Flow,fects may be neglected away from any rigid boundaries. Almost all the theory contained in the following three chapters will be concerned with an inviscid ideal gas as defined in Chapter I. The only exception which we shall consider occurs in the study of shock waves, where viscosity is important in
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Shock Waves,aining gas at rest. If the analysis used in Chapter IV when the piston is withdrawn is applied in this case, it leads to a solution which is not single valued and therefore not physically realistic. We first consider an example to clarify the situation.
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0066-5452 an be predicted by the use of analytical and numerical methods. Theoretical Mechanics is concerned with the study of those phenomena which can be ob- served in everyday life in the physical world around us. It is often characterised by the macroscopic approach which allows the concept of an element
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