A Treatise on the Mathematical Theory of the Motion of Fluids |
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Page vii
... fluid • CHAPTER III . IRROTATIONAL MOTION . 38-40 . Analysis of the motion of a fluid element ' Circulation . ' 41 , 42 . 43-52 . 53-59 . Irrotational motion in simply - connected spaces Particular case of a liquid . Properties of the ...
... fluid • CHAPTER III . IRROTATIONAL MOTION . 38-40 . Analysis of the motion of a fluid element ' Circulation . ' 41 , 42 . 43-52 . 53-59 . Irrotational motion in simply - connected spaces Particular case of a liquid . Properties of the ...
Page x
... momenta of a solid immersed in a liquid D. Vortex - motion · E. On the resistance of fluids · 237 · 239 241 • 244 LIST OF MEMOIRS AND TREATISES EXERCISES " 249 252 ON FLUID MOTION . CHAPTER I. THE EQUATIONS OF MOTION X CONTENTS .
... momenta of a solid immersed in a liquid D. Vortex - motion · E. On the resistance of fluids · 237 · 239 241 • 244 LIST OF MEMOIRS AND TREATISES EXERCISES " 249 252 ON FLUID MOTION . CHAPTER I. THE EQUATIONS OF MOTION X CONTENTS .
Page 1
... fluid is that it cannot be in equilibrium in a state of stress such that the mutual action between two adjacent ... fluid is soon found to be rotating with the vessel as one solid body . If the vessel be now brought to rest , the motion ...
... fluid is that it cannot be in equilibrium in a state of stress such that the mutual action between two adjacent ... fluid is soon found to be rotating with the vessel as one solid body . If the vessel be now brought to rest , the motion ...
Page 2
... fluid bounded by a surface of revolution about this axis , would be 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 ...
... fluid bounded by a surface of revolution about this axis , would be 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 ...
Page 3
... fluid have been obtained in two different forms , corresponding to the two ways in which the problem of determining the motion of a fluid mass , acted on by given forces and subject to given conditions , may be viewed . . We may either ...
... fluid have been obtained in two different forms , corresponding to the two ways in which the problem of determining the motion of a fluid mass , acted on by given forces and subject to given conditions , may be viewed . . We may either ...
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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 component constant corresponding Crown 8vo cyclic Demy 8vo denote direction dT dT dx dx dx dy dz dy dy dydz Edited element equation of continuity equations of motion Fellow finite fluid forces formula formulæ given Green's Theorem Hence independent circuits infinitely small infinity integral internal boundary irrotational motion liquid LL.D mass moving Notes obtain origin P. G. TAIT parallel particle perpendicular plane xy portion Professor quantities radius RENDEL HARRIS satisfied shews side simply-connected solid sphere St John's College stream-lines surface theorem theory Thomson Trans Trinity College University of Cambridge University Press Warehouse velocity-potential vortex waves zero аф
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