A Treatise on the Mathematical Theory of the Motion of Fluids |
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Page 1
... portions into which we can conceive them to be divided are the same as those of the substance in bulk . It is shewn in note ( A ) , at the end of the book , that the fundamental equations arrived at on this supposition , with proper ...
... portions into which we can conceive them to be divided are the same as those of the substance in bulk . It is shewn in note ( A ) , at the end of the book , that the fundamental equations arrived at on this supposition , with proper ...
Page 2
... portion of 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 ...
... portion of 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 ...
Page 8
... 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 EQUATIONS OF MOTION .
... 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 EQUATIONS OF MOTION .
Page 9
Sir Horace Lamb. portion of matter as it moves along . In another method , which is indeed more consistent with the Eulerian notation , we fix our attention on a certain region of space , and investigate the change in its properties ...
Sir Horace Lamb. portion of matter as it moves along . In another method , which is indeed more consistent with the Eulerian notation , we fix our attention on a certain region of space , and investigate the change in its properties ...
Page 18
... portion of a perfect fluid in motion under the action of forces which have a potential , then , provided the density of the fluid be either constant or a function of the pressure only , a velocity - potential exists for the same portion ...
... portion of a perfect fluid in motion under the action of forces which have a potential , then , provided the density of the fluid be either constant or a function of the pressure only , a velocity - potential exists for the same portion ...
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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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