 | Royal Society of Edinburgh - Science - 1880 - 864 pages
...when r = a> and, when (16) is used for w in (13), give two simple equations to determine C and £. The problem thus solved is the finding of the periodic...simple harmonic law in respect to the co-ordinates .., 6, The most interesting Sub-case is had by supposing the inner boundary evanescent (a = 0), and... | |
 | William Thomson Baron Kelvin - Mathematics - 1910 - 581 pages
...= a, and, when (17) or (18) is used for w in (13), give two simple equations to determine G and GD. The problem thus solved is the finding of the periodic...is had by supposing the inner boundary evanescent (a = 0), and the liquid continuous throughout the space contained by the outer cylindric boundary of... | |
 | William Thomson Baron Kelvin - Mathematics - 1910 - 588 pages
...H, and, when (17) or (18) is used for w in (13), give two simple equations to determine C and (ffi. The problem thus solved is the finding of the periodic...boundaries which are concentric circular cylindric when undis* Compare Proceedings, March 17, 1879, "Gravitational Oscillations of Rotating Water." Solution... | |
 | William Thomson Baron Kelvin - Mathematics - 1910 - 588 pages
...= a, and, when (17) or (18) is used for w in (13), give two simple equations to determine C and GC. The problem thus solved is the finding of the periodic...simple harmonic law in respect to the coordinates z, 0. The most interesting Subcase is had by supposing the inner boundary evanescent (a = 0), and the... | |
 | Royal Society of Edinburgh - Science - 1880 - 850 pages
...t when r = a, and, when (16) is used for w in (13), give two simple equations to determine C and C. The problem thus solved is the finding of the periodic...simple harmonic law in respect to the co-ordinates z, 0. The most interesting Sub-case is had by supposing the inner boundary evanescent (a = 0), and the... | |
 | Royal Society of Edinburgh - Science - 1880 - 874 pages
...t when r= a, and, when (16) is used for w in (13), give two simple equations to determine C and C. The problem thus solved is the finding of the periodic...simple harmonic law in respect to the co-ordinates z, 9. The most interesting Sub-case is had by supposing the inner boundary evanescent (a = 0), and the... | |
 | Physics - 1880 - 502 pages
...for w in (13), give two simple equations to determine C and C. Vibrations of a Columnar Vortex. 159 The problem thus solved is the finding of the periodic...is had by supposing the inner boundary evanescent (a = 0), and the liquid continuous and undisturbed throughout the space contained by the outer cylindric... | |
 | Sir Joseph Larmor - Electric power - 1929 - 596 pages
...r=a, and, when (17) or (18) is used for w in (13), give two simple equations to determine C and CD. The problem thus solved is the finding of the periodic...is had by supposing the inner boundary evanescent (a = 0), and the liquid continuous throughout the space contained by the outer cylindric boundary of... | |
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The problem thus solved is the finding of the periodic disturbance in the motion of rotating liquid in a space between two boundaries which are concentric circular cylindric when undisturbed, produced by infinitely small simple harmonic normal motion... 