Scientific Papers volume 4
Scientific Papers volume 4
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In our eReader you can find the full English version of the book. Read Scientific Papers volume 4 Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Scientific Papers volume 4
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In the case where the steady motion is such that in each half of the layer included between the walls the vorticity is constant, it appeared that the motion is stable, small displacements of the surface separating the two vorticities being propagated as waves of constant amplitude. More particularly, if the velocity of the steady motion increase uniformly from zero at the walls to the value U in the middle stratum, a disturbance proportional to e i(nt+kx) requires that n + kU= U/b. Teohkb, (1) ...where 26 is the distance between the walls. The wave-length is 2ir/k, and the fact that n is real indicates that the disturbance is stable.
Discussions upon the difficult question of the nature of the instability manifested by fluids in their flow through pipes of moderate bore seemed to make it desirable to push the investigation of the disturbance from some simple case of steady motion so far at least as to include the squares of the small quantities.
In the present paper the problem chosen for the purpose is that above referred to, simplified by excluding the fixed walls, or, what comes to the same thing, by supposing them removed to a distance very great in comparison with the wave-length of the disturbance.
What to read after Scientific Papers volume 4?
You can find similar books in the "Read Also" column, or choose other free books by John William Strutt Rayleigh to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
In the case where the steady motion is such that in each half of the layer included between the walls the vorticity is constant, it appeared that the motion is stable, small displacements of the surface separating the two vorticities being propagated as waves of constant amplitude. More particularly, if the velocity of the steady motion increase uniformly from zero at the walls to the value U in the middle stratum, a disturbance proportional to e i(nt+kx) requires that n + kU= U/b. Teohkb, (1) ...where 26 is the distance between the walls. The wave-length is 2ir/k, and the fact that n is real indicates that the disturbance is stable.
Discussions upon the difficult question of the nature of the instability manifested by fluids in their flow through pipes of moderate bore seemed to make it desirable to push the investigation of the disturbance from some simple case of steady motion so far at least as to include the squares of the small quantities.
In the present paper the problem chosen for the purpose is that above referred to, simplified by excluding the fixed walls, or, what comes to the same thing, by supposing them removed to a distance very great in comparison with the wave-length of the disturbance.
What to read after Scientific Papers volume 4?
You can find similar books in the "Read Also" column, or choose other free books by John William Strutt Rayleigh to read onlineMoreLess
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