Philosophical Transactions of the Royal Society of London, Volume 175,Deel 1W. Bowyer and J. Nichols for Lockyer Davis, printer to the Royal Society, 1884 |
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Resultaten 1-5 van 33
Pagina 3
... become T 0 = ' d ( ~ -x - p ) ' 0 = 1d ( ox - * fp ) by which 1 and 2 are to be determined as functions of y . If we write in k'2 = k2 + ע ( 8 ) , ( 9 ) , we have as the most general solutions of ( 8 ) V1 = Ae - ky + Bethy 42 = Ce¬ky + ...
... become T 0 = ' d ( ~ -x - p ) ' 0 = 1d ( ox - * fp ) by which 1 and 2 are to be determined as functions of y . If we write in k'2 = k2 + ע ( 8 ) , ( 9 ) , we have as the most general solutions of ( 8 ) V1 = Ae - ky + Bethy 42 = Ce¬ky + ...
Pagina 5
... become insensible . Although the values of u and v in ( 18 ) and ( 19 ) are strictly periodic , it is proper to notice that the same property does not attach to the motions thereby defined of the particles of the fluid . In our notation ...
... become insensible . Although the values of u and v in ( 18 ) and ( 19 ) are strictly periodic , it is proper to notice that the same property does not attach to the motions thereby defined of the particles of the fluid . In our notation ...
Pagina 7
... becomes d * p d ( By ) 4 nku 2 sin 2kx e - By 4v2 B5 · By sin By — cos By + e - By of which the solution is ป nku 2 sin 2kx e - By 4v2 ß5 3 cos By + 1 sin By + 1ẞy sin By + 16e - By The complementary function , being proportional to sin ...
... becomes d * p d ( By ) 4 nku 2 sin 2kx e - By 4v2 B5 · By sin By — cos By + e - By of which the solution is ป nku 2 sin 2kx e - By 4v2 ß5 3 cos By + 1 sin By + 1ẞy sin By + 16e - By The complementary function , being proportional to sin ...
Pagina 8
... becomes insensible , and we have simply v ' = u ' = 32 sin 27x 2 V e - 2ky ( 1—2ky ) . 2ku 2 cos 2kx ᏰᏙ e - 2ky ( → 18+ 3 By ) . 18 + 3ẞy ) . ( 28 ) , ( 29 ) . The steady motion expressed by ( 28 ) and ( 29 ) is of a very simple ...
... becomes insensible , and we have simply v ' = u ' = 32 sin 27x 2 V e - 2ky ( 1—2ky ) . 2ku 2 cos 2kx ᏰᏙ e - 2ky ( → 18+ 3 By ) . 18 + 3ẞy ) . ( 28 ) , ( 29 ) . The steady motion expressed by ( 28 ) and ( 29 ) is of a very simple ...
Pagina 11
... becomes + = nhßH2 sin 2kxe 472 -By 28 -hy sin ẞy — sin By — cos By ) + 2e - By By — cos By ) + 2e- } . ( 43 ) . It will be found presently that the term divided by k disappears from the final result , and thus we have to pursue the ...
... becomes + = nhßH2 sin 2kxe 472 -By 28 -hy sin ẞy — sin By — cos By ) + 2e - By By — cos By ) + 2e- } . ( 43 ) . It will be found presently that the term divided by k disappears from the final result , and thus we have to pursue the ...
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