The Brink Depth of a Supercritical Overfall
The Brink Depth of a Supercritical Overfall
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In our eReader you can find the full English version of the book. Read The Brink Depth of a Supercritical Overfall 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 The Brink Depth of a Supercritical Overfall
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It can obviously also prevail if u is sufficiently large, or if a is so small that the overfall is nearly a falling sheet.
We show below that the stream line function must satisfy a nonlinear partial differential equation defined in an infinite strip, and that it must satisfy nonlinear boundary conditions along the side's of the strip. Since these boundary conditions involve the small parameter e, we assume that T{x, -y) can be approximated, at least asymptotically, by an expansion in integral ...powers of e.
The development which follows is confined to an analysis and discussion of the first order approximation and what it yields with respect to the shapes of the free surfaces and the brink depth of the overfall. A formula which is derived for the brink depth ratio, namely.
f*(i;£) = ^ /T+2l + 'l + E^(. 3l4) l + e^(. 772) appears to be a good approximation in the range _^ e ^ !• According to this formula the brink depth ratio for critical flow is . 719* This is close to . 708, the average of six approximations based on different procedures developed by various investigators.
What to read after The Brink Depth of a Supercritical Overfall?
You can find similar books in the "Read Also" column, or choose other free books by Arthur S Peters to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
It can obviously also prevail if u is sufficiently large, or if a is so small that the overfall is nearly a falling sheet.
We show below that the stream line function must satisfy a nonlinear partial differential equation defined in an infinite strip, and that it must satisfy nonlinear boundary conditions along the side's of the strip. Since these boundary conditions involve the small parameter e, we assume that T{x, -y) can be approximated, at least asymptotically, by an expansion in integral ...powers of e.
The development which follows is confined to an analysis and discussion of the first order approximation and what it yields with respect to the shapes of the free surfaces and the brink depth of the overfall. A formula which is derived for the brink depth ratio, namely.
f*(i;£) = ^ /T+2l + 'l + E^(. 3l4) l + e^(. 772) appears to be a good approximation in the range _^ e ^ !• According to this formula the brink depth ratio for critical flow is . 719* This is close to . 708, the average of six approximations based on different procedures developed by various investigators.
What to read after The Brink Depth of a Supercritical Overfall?
You can find similar books in the "Read Also" column, or choose other free books by Arthur S Peters to read onlineMoreLess
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