A Treatise on the Mathematical Theory of the Motion of FluidsThe University Press, 1879 - 258 pagina's |
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Pagina x
... Boundary - conditions . 182-185 . Examples : Flux through a straight tube Effect of viscosity on motion of sound . Uniform motion of a sphere . NOTES . A. Establishment of the fundamental equations on the molecular hypothesis 231 B ...
... Boundary - conditions . 182-185 . Examples : Flux through a straight tube Effect of viscosity on motion of sound . Uniform motion of a sphere . NOTES . A. Establishment of the fundamental equations on the molecular hypothesis 231 B ...
Pagina 5
... of the normal velocity outwards , taken all over the boundary . If the region in question be that occupied by the matter which at time t fills the rectangular element of Art . 6 , the parts of this 5-8 . ] 5 EULERIAN EQUATIONS .
... of the normal velocity outwards , taken all over the boundary . If the region in question be that occupied by the matter which at time t fills the rectangular element of Art . 6 , the parts of this 5-8 . ] 5 EULERIAN EQUATIONS .
Pagina 7
... boundary . The instantaneous rate of variation of F for a surface - particle must therefore be zero , i.e. we have F = 0 dt ( 11 ) . This must hold at every point of the surface represented by ( 10 ) . dF At a fixed boundary we have = 0 ...
... boundary . The instantaneous rate of variation of F for a surface - particle must therefore be zero , i.e. we have F = 0 dt ( 11 ) . This must hold at every point of the surface represented by ( 10 ) . dF At a fixed boundary we have = 0 ...
Pagina 8
... boundary , at the common surface of a fluid and a moving solid . The truth of ( 13 ) , of which ( 12 ) is a particular case , is other- wise obvious from the consideration that the velocity normal to the surface must be , in each of the ...
... boundary , at the common surface of a fluid and a moving solid . The truth of ( 13 ) , of which ( 12 ) is a particular case , is other- wise obvious from the consideration that the velocity normal to the surface must be , in each of the ...
Pagina 9
... boundary as by the action of external forces on the included mass * . Let denote the measure , estimated per unit volume , of any quantity connected with the properties of a fluid , and let us cal- culate the rate of increase of Q in a ...
... boundary as by the action of external forces on the included mass * . Let denote the measure , estimated per unit volume , of any quantity connected with the properties of a fluid , and let us cal- culate the rate of increase of Q in a ...
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 formulę 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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