A Treatise on the Mathematical Theory of the Motion of FluidsThe University Press, 1879 - 258 pagina's |
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Pagina ix
... forces 146-152 . Waves of small vertical displacement Canal theory of the tides . 173 182 156-160 . Waves in deep water 185 161-163 . Wave - propagation in two dimensions . Examples 164 . 194 Free oscillations in an ocean of uniform ...
... forces 146-152 . Waves of small vertical displacement Canal theory of the tides . 173 182 156-160 . Waves in deep water 185 161-163 . Wave - propagation in two dimensions . Examples 164 . 194 Free oscillations in an ocean of uniform ...
Pagina 3
... forces , because they are ultimately proportional to the mass of the tetrahedron , and therefore of the third order of small quantities , whilst the terms retained in the equation of motion are of the second . We have then , ultimately ...
... forces , because they are ultimately proportional to the mass of the tetrahedron , and therefore of the third order of small quantities , whilst the terms retained in the equation of motion are of the second . We have then , ultimately ...
Pagina 4
... forces acting on the element . Of these the external impressed forces give pdædydz X. The pres- sure on the yz - face which is nearest the origin will be ultimately ( p- dp da dx ) dy dz , that on dx the opposite face The difference of ...
... forces acting on the element . Of these the external impressed forces give pdædydz X. The pres- sure on the yz - face which is nearest the origin will be ultimately ( p- dp da dx ) dy dz , that on dx the opposite face The difference of ...
Pagina 9
... forces on the included mass * . Let denote the measure , estimated per unit volume , of any quantity connected with ... forces acting on the included matter , viz . the pressure and the external impressed forces . The effect of ...
... forces on the included mass * . Let denote the measure , estimated per unit volume , of any quantity connected with ... forces acting on the included matter , viz . the pressure and the external impressed forces . The effect of ...
Pagina 10
... forces dV viz . we have X = -- dx ' ( viz . & c . ) , energy . In a liquid we have E = 0 . If the system of external forces do not change with the time the alteration in the energy contained within the space dxdydz is due to the flow ...
... forces dV viz . we have X = -- dx ' ( viz . & c . ) , energy . In a liquid we have E = 0 . If the system of external forces do not change with the time the alteration in the energy contained within the space dxdydz is due to the flow ...
Overige edities - Alles bekijken
A Treatise on the Mathematical Theory of the Motion of Fluids Sir Horace Lamb Volledige weergave - 1879 |
A Treatise on the Mathematical Theory of the Motion of Fluids Sir Horace Lamb Volledige weergave - 1879 |
A Treatise on the Mathematical Theory of the Motion of Fluids Sir Horace Lamb Volledige weergave - 1879 |
Veelvoorkomende woorden en zinsdelen
angle angular velocity Ave Maria Lane axes axis Book boundary C. J. CLAY Cambridge University Press centre Christ's College circle circuit CLAY & SONS co-ordinates coefficients const constant corresponding Crown 8vo curves Demy 8vo denote direction dx dy dz Edited element English equation of continuity equations of motion external Fellow finite fluid forces formulæ given Green's theorem Hence impulse infinity integration Introduction irrotational irrotational motion J. E. SANDYS liquid LL.D mass moving Notes obtain orifice origin P. G. TAIT p₁ parallel particle plane portion pressure Professor radius region RENDEL HARRIS rotation satisfied shews simply-connected solid sphere St John's College stream-lines surface theorem Thomson Trans Trinity College University of Cambridge University Press Warehouse velocity-potential vertical vortex waves zero
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