A Treatise on the Mathematical Theory of the Motion of Fluids |
From inside the book
Results 1-5 of 20
Page viii
... Impulse . ' 109 . Equations of motion 123 · 113 , 114 . 115 . 116 . 117 . 118 . 119 . 110-112 . Kinetic energy . Momenta Cases of steady motion Motion of a solid struck by an impulsive couple Expressions for the kinetic energy in ...
... Impulse . ' 109 . Equations of motion 123 · 113 , 114 . 115 . 116 . 117 . 118 . 119 . 110-112 . Kinetic energy . Momenta Cases of steady motion Motion of a solid struck by an impulsive couple Expressions for the kinetic energy in ...
Page 11
... impulse , X ' , Y ' , Z ' the components of the 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 ...
... impulse , X ' , Y ' , Z ' the components of the 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 ...
Page 12
... impulse . Hence , in applying ( 19 ) to the case of a gas we must put = 0 , whence u ' - u = X ' , v ' - v = Y ' , w ' - w = Z ' . .... . ( 20 ) . In a liquid , on the other hand , an instantaneous change of motion can be produced by ...
... impulse . Hence , in applying ( 19 ) to the case of a gas we must put = 0 , whence u ' - u = X ' , v ' - v = Y ' , w ' - w = Z ' . .... . ( 20 ) . In a liquid , on the other hand , an instantaneous change of motion can be produced by ...
Page 15
... equations of impulsive motion of a liquid . Let the impulse act from t = 0 to t = 7 , where T is infinitely small , and let ▾ be the * H. Weber , Crelle , t . 68 . upper limit of integration in ( 25 ) . We 17-19 . ] 15 WEBER'S EQUATIONS .
... equations of impulsive motion of a liquid . Let the impulse act from t = 0 to t = 7 , where T is infinitely small , and let ▾ be the * H. Weber , Crelle , t . 68 . upper limit of integration in ( 25 ) . We 17-19 . ] 15 WEBER'S EQUATIONS .
Page 56
... impulse , we obtain a state of irrotational motion satisfying the conditions stated at the head of this article * . 62. It is easy to shew analytically that the said conditions completely determine p , save as to an additive constant ...
... impulse , we obtain a state of irrotational motion satisfying the conditions stated at the head of this article * . 62. It is easy to shew analytically that the said conditions completely determine p , save as to an additive constant ...
Other editions - View all
Common terms and phrases
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
Popular passages
Page 7 - Wilson's Illustration of the Method of explaining the New Testament, by the early opinions of Jews and Christians concerning Christ.
Page 4 - Greek and English Testament, in parallel columns on the same page. Edited by J. SCHOLEFIELD, MA late Regius Professor of Greek in the University. New Edition, with the marginal references as arranged and revised by DR SCRIVENER.
Page 15 - Pindar. Olympian and Pythian Odes. With Notes Explanatory and Critical, Introductions and Introductory Essays. Edited by CAM FENNELL, MA, late Fellow of Jesus College. Crown 8vo. cloth. gs. The Isthmian and Nemean Odes by the same Editor. 9*.
Page 20 - A Treatise on the Theory of Determinants and their Applications in Analysis and Geometry. By ROBERT FORSYTH SCOTT, MA, Fellow of St John's College. Demy 8vo.
Page 6 - SCRIPTURES, &c. The Cambridge Paragraph Bible of the Authorized English Version, with the Text revised by a Collation of its Early and other Principal Editions...
Page 32 - Vols. Super Royal 8vo. £6. 6s. Also a limited Edition of the same, consisting of 120 numbered Copies only, large paper Quarto ; the woodcuts and steel engravings mounted on India paper ; price Twenty-five Guineas net each set.
Page 5 - The Missing Fragment of the Latin Translation of the Fourth Book of Ezra, discovered, and edited with an Introduction and Notes, and a facsimile of the MS., by ROBERT L.
Page 8 - The Pointed Prayer Book, being the Book of Common Prayer with the Psalter or Psalms of David, pointed as they are to be sung or said in Churches.
Page 12 - An Analysis of the Exposition of the Creed, written by the Right Rev. Father in God, JOHN PEARSON, DD, late Lord Bishop of Chester. Compiled...