A Treatise on the Mathematical Theory of the Motion of FluidsThe University Press, 1879 - 258 Seiten |
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Seite 2
... given here for purposes of reference . Through P draw three straight lines PA , PB , PC mutually at right angles , and let a plane whose direction - cosines relatively to these lines are l , m , n , passing infinitely close to P , meet ...
... given here for purposes of reference . Through P draw three straight lines PA , PB , PC mutually at right angles , and let a plane whose direction - cosines relatively to these lines are l , m , n , passing infinitely close to P , meet ...
Seite 3
... given forces and subject to given conditions , may be viewed .. We may either regard as the object of our investigations a know- ledge of the velocity , the pressure , and the density , at all points of space occupied by the fluid , for ...
... given forces and subject to given conditions , may be viewed .. We may either regard as the object of our investigations a know- ledge of the velocity , the pressure , and the density , at all points of space occupied by the fluid , for ...
Seite 6
... given in Art . 10 , must be satisfied at such a surface . The quantity p is necessarily continuous , and finite . It is also essentially positive , at all events in the case of 6 [ CHAP . I. THE EQUATIONS OF MOTION .
... given in Art . 10 , must be satisfied at such a surface . The quantity p is necessarily continuous , and finite . It is also essentially positive , at all events in the case of 6 [ CHAP . I. THE EQUATIONS OF MOTION .
Seite 7
... given by the formulæ is an impossible one . At the moment when , according to the form- ulæ , p would change from positive through zero to negative , either the fluid parts asunder , or a surface of discontinuity is formed , so that the ...
... given by the formulæ is an impossible one . At the moment when , according to the form- ulæ , p would change from positive through zero to negative , either the fluid parts asunder , or a surface of discontinuity is formed , so that the ...
Seite 8
... given by the formulæ u = ± x , v = c , w = 0 , the upper sign in u being taken for points receding from the fixed boundary x = 0 , the lower for points approaching it . portion of matter as it moves along . In another 8 [ CHAP . I. THE ...
... given by the formulæ u = ± x , v = c , w = 0 , the upper sign in u being taken for points receding from the fixed boundary x = 0 , the lower for points approaching it . portion of matter as it moves along . In another 8 [ CHAP . I. THE ...
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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 formulæ 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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