A Treatise on the Mathematical Theory of the Motion of FluidsThe University Press, 1879 - 258 pagina's |
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Pagina viii
... Thomson's extension of Green's Theorem CHAPTER IV . MOTION OF A LIQUID IN TWO DIMENSIONS . PAGE . 54 57 63 68 , 69 . 70-72 . 73-79 . The Stream - Function Irrotational motion . Kinetic energy Relations between the velocity potential and ...
... Thomson's extension of Green's Theorem CHAPTER IV . MOTION OF A LIQUID IN TWO DIMENSIONS . PAGE . 54 57 63 68 , 69 . 70-72 . 73-79 . The Stream - Function Irrotational motion . Kinetic energy Relations between the velocity potential and ...
Pagina 19
... Thomson . A careful criticism of Lagrange's and other proofs has been given by Stokes * . 24. The class of cases in which a velocity - potential exists includes all those where the motion has originated from rest under the action of ...
... Thomson . A careful criticism of Lagrange's and other proofs has been given by Stokes * . 24. The class of cases in which a velocity - potential exists includes all those where the motion has originated from rest under the action of ...
Pagina 27
... Thomson , On the Thermal Effects of Fluids in Motion , Proc . R. S. May , 1856 . Also Rankine , Applied Mechanics , Arts . 637 , 637 a . The maximum velocity of efflux occurs when p1 = 0 31-33 . ] 27 VENA CONTRACTA .
... Thomson , On the Thermal Effects of Fluids in Motion , Proc . R. S. May , 1856 . Also Rankine , Applied Mechanics , Arts . 637 , 637 a . The maximum velocity of efflux occurs when p1 = 0 31-33 . ] 27 VENA CONTRACTA .
Pagina 34
... Thomson in calling the motion in such cases irrotational , ' and that in all other cases ' rotational . ' 39. The value of the integral f ( udx + vdy + wdz ) , or , other- dz wise , ( * dx U ds + v dads , taken along any line ABCD , is ...
... Thomson in calling the motion in such cases irrotational , ' and that in all other cases ' rotational . ' 39. The value of the integral f ( udx + vdy + wdz ) , or , other- dz wise , ( * dx U ds + v dads , taken along any line ABCD , is ...
Pagina 37
... Thomson , l.c. ante . For other proofs , see Thomson and Tait , Natural Philosophy , Art . 190 ( j ) , and Maxwell , Electricity and Magnetism , Art . 24 . velocity - potential . Let denote the flow from some 40-42 . ] 37 SIMPLY ...
... Thomson , l.c. ante . For other proofs , see Thomson and Tait , Natural Philosophy , Art . 190 ( j ) , and Maxwell , Electricity and Magnetism , Art . 24 . velocity - potential . Let denote the flow from some 40-42 . ] 37 SIMPLY ...
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 C. J. CLAY Cambridge University Press centre Christ's College circle circuit CLAY & SONS co-ordinates constant corresponding Crown 8vo curves const cyclic Demy 8vo denote direction dt dt dx dx dx dy dz dy dy Edited element equation of continuity Fellow finite fluid forces formulę given Green's Theorem Hence impulse infinitely small infinity integral internal boundary irrotational irrotational motion J. E. SANDYS liquid LL.D mass moving Notes obtain origin P. G. TAIT P₁ parallel particle plane xy portion pressure Professor quantities radius RENDEL HARRIS satisfied shews simply-connected solid sphere St John's College stream-lines surface theorem Thomson Trinity College University of Cambridge University Press Warehouse velocity-potential vertical vortex waves zero аф
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