By Y. C. Fung
Revision of a vintage textual content through a special writer. Emphasis is on challenge formula and derivation of governing equations. re-creation positive factors elevated emphasis on purposes. New bankruptcy covers long term adjustments in fabrics less than rigidity.
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The Scottish mathematician Colin MacLaurin (1698-1746) is better identified for constructing and lengthening Newton's paintings in calculus, geometry and gravitation; his 2-volume paintings "Treatise of Fluxions" (1742) was once the 1st systematic exposition of Newton's tools. it really is popular that MacLaurin was once offered prizes through the Royal Academy of Sciences, Paris, for his prior paintings at the collision of our bodies (1724) and the tides (1740); despite the fact that, the contents of those essays are much less common - even though a few of the fabric is mentioned within the Treatise of Fluxions - and the essays themselves frequently demanding to acquire.
This ebook has hardback covers. Ex-library,With traditional stamps and markings,In reasonable situation, appropriate as a research reproduction. No dirt jacket.
This complicated undergraduate textbook starts off with the Lagrangian formula of Analytical Mechanics after which passes on to the Hamiltonian formula and the canonical equations, with constraints integrated via Lagrange multipliers. Hamilton's precept and the canonical equations stay the root of the rest of the textual content.
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Extra resources for A first course in continuum mechanics: for physical and biological engineers and scientists
4 COMMENT The values from part (a) and part (b) are the same, as expected. Dimensionless quantities play an important role in fluid mechanics, and the significance of the Reynolds number, as well as other important dimensionless combinations, will be discussed in detail in Chapter 7. It should be noted that in the Reynolds number it is actually the ratio / that is important, and this is the property that we have defined as the kinematic viscosity. Newtonian Fluid Shear Stress GIVEN The velocity distribution for the flow of a Newtonian fluid between two fixed wide, parallel plates (see Fig.
It can also be a point in the analysis at which certain questions are posed. For example: Is the answer reasonable, and does it make physical sense? Are the final units correct? If a certain parameter were changed, how would the answer change? Adopting this type of methodology will aid in the development of problem-solving skills for fluid mechanics, as well as other engineering disciplines. 1 Restricted and General Homogeneous Equations GIVEN A commonly used equation for determining the volume rate of flow, Q, of a liquid through an orifice located in the side of a tank as shown in Fig.
Dimensions, Dimensional Homogeneity, and Units Since we will be dealing with a variety of fluid characteristics in our study of fluid mechanics, it is necessary to develop a system for describing these characteristics both qualitatively and quantitatively. qxd 4 9/24/10 11:11 AM Page 4 Chapter 1 ■ Introduction characteristics (such as length, time, stress, and velocity), whereas the quantitative aspect provides a numerical measure of the characteristics. The quantitative description requires both a number and a standard by which various quantities can be compared.
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