A Treatise on the Mathematical Theory of the Motion of FluidsThe University Press, 1879 - 258 pagina's |
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Pagina 3
... external im- pressed 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 ...
... external im- pressed 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 ...
Pagina 4
... external impressed forces per unit mass , at the point ( x , y , z ) at the time t . Let us take a rectangular element having its centre at ( x , y , z ) , and its edges dx , dy , dz parallel to the co- ordinate axes . The rate at which ...
... external impressed forces per unit mass , at the point ( x , y , z ) at the time t . Let us take a rectangular element having its centre at ( x , y , z ) , and its edges dx , dy , dz parallel to the co- ordinate axes . The rate at which ...
Pagina 9
... 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 rectangular space dady dz ...
... 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 rectangular space dady dz ...
Pagina 10
... external im- and E the intrinsic pressed 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 ...
... external im- and E the intrinsic pressed 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 ...
Pagina 11
... external impulsive forces per unit mass , the impulsive pressure , at the point ( x , y , z ) . The change of momentum parallel to x of the element defined in Art . 6 is then pdxdydz ( u ' - u ) ; the x - component of the external ...
... external impulsive forces per unit mass , the impulsive pressure , at the point ( x , y , z ) . The change of momentum parallel to x of the element defined in Art . 6 is then pdxdydz ( u ' - u ) ; the x - component of the external ...
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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