New PDF release: An elementary treatise on theoretical mechanics

By Sir James H. Jeans, Physics

ISBN-10: 1176586637

ISBN-13: 9781176586635

It is a copy of a e-book released ahead of 1923. This ebook can have occasional imperfections resembling lacking or blurred pages, negative images, errant marks, and so forth. that have been both a part of the unique artifact, or have been brought by means of the scanning technique. We think this paintings is culturally vital, and regardless of the imperfections, have elected to convey it again into print as a part of our carrying on with dedication to the renovation of revealed works around the world. We have fun with your figuring out of the imperfections within the upkeep strategy, and wish you take pleasure in this precious booklet.

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04 FIG. 3-4. 4 This point is discussed in more detail in Chapter 4. T he way in which friction alTects the Mach number may be shown as follows. First the conservation equations are transformed (by ihtroducing the perfect gas law and the definition of Mach number) to read: Frictionless flow of a perfect gas in a constant-area duct with stagna tion It may be seen from Fig. 3-4 that inc reasing the stagnat ion tempera ture drives the Mach number toward un ity whether the flow is supersonic o r subsonic.

This suggested the major simplification o~ the ~avier-Stokes e~uati~ns which is the basis of boundary layer theory. For fairly hIgh-speed flow, In WhICh the boundary layer is so thin that the pressure gradient normal to the wall is negligible, Prandtl and others showed how to treat the boundary lay~r mathematically for special cases, many of which have been solved in the past SIX~y y~ars. Given that a boundary layer exists on a body, it is easy to see qualitatively why the case of vanishing viscosity is fundamentally different from the case of zero viscosity .

Boundary layer velocity distribution. Thus Prandtl showed that the flow field may be broken into two parts; a thin viscous zone near the waIl, and an outer zone where the nonviscous theory is adequate. This suggested the major simplification o~ the ~avier-Stokes e~uati~ns which is the basis of boundary layer theory. For fairly hIgh-speed flow, In WhICh the boundary layer is so thin that the pressure gradient normal to the wall is negligible, Prandtl and others showed how to treat the boundary lay~r mathematically for special cases, many of which have been solved in the past SIX~y y~ars.

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An elementary treatise on theoretical mechanics by Sir James H. Jeans, Physics


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