A Treatise on the Mathematical Theory of the Motion of FluidsThe University Press, 1879 - 258 sider |
Fra bogen
Resultater 1-5 af 89
Side 2
... constant . We infer , moreover , that these tangential stresses are not called into play so long as the fluid moves as a solid body , but only whilst a change of shape of some portion of the mass is going on , and that their tendency is ...
... constant . We infer , moreover , that these tangential stresses are not called into play so long as the fluid moves as a solid body , but only whilst a change of shape of some portion of the mass is going on , and that their tendency is ...
Side 5
... constant .... ....... . ( 5 ) . 8. The remaining equation is a kinematical relation between u , v , w , p obtained as follows . If V denote the volume of a moving element of fluid , we have , on account of the constancy of mass , or a ...
... constant .... ....... . ( 5 ) . 8. The remaining equation is a kinematical relation between u , v , w , p obtained as follows . If V denote the volume of a moving element of fluid , we have , on account of the constancy of mass , or a ...
Side 12
... axes of co - ordinates of * It will appear in Chapter III . that ( save as to additive constants ) there is only one value of which does this . dx dy dz dt ' and the component the particle 12 [ CHAP . I. THE EQUATIONS OF MOTION .
... axes of co - ordinates of * It will appear in Chapter III . that ( save as to additive constants ) there is only one value of which does this . dx dy dz dt ' and the component the particle 12 [ CHAP . I. THE EQUATIONS OF MOTION .
Side 18
... constant or a function of the pressure only , a velocity - potential exists for the same portion of the fluid at all subsequent instants . In the equations of Art . 18 , let the instant at which the velocity - potential , exists be ...
... constant or a function of the pressure only , a velocity - potential exists for the same portion of the fluid at all subsequent instants . In the equations of Art . 18 , let the instant at which the velocity - potential , exists be ...
Side 21
... constant in these expressions shews , what is otherwise evident , that a pressure uniform throughout a liquid mass produces no effect on its motion . In the case of a gas , is the potential of the external im- pulsive forces by which ...
... constant in these expressions shews , what is otherwise evident , that a pressure uniform throughout a liquid mass produces no effect on its motion . In the case of a gas , is the potential of the external im- pulsive forces by which ...
Andre udgaver - Se alle
Almindelige termer og sætninger
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
Populære passager
Side 7 - Wilson's Illustration of the Method of explaining the New Testament, by the early opinions of Jews and Christians concerning Christ.
Side 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.
Side 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*.
Side 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.
Side 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...
Side 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.
Side 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.
Side 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.
Side 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...