A Treatise on the Mathematical Theory of the Motion of Fluids |
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Page viii
... of revolution in a particular case . Stability of a body moving parallel to an axis of symmetry Constraint necessary to produce any specified motion 124 126 129 130 133 134 135 ART . 120 , 121 . 122 , 123 . viii CONTENTS .
... of revolution in a particular case . Stability of a body moving parallel to an axis of symmetry Constraint necessary to produce any specified motion 124 126 129 130 133 134 135 ART . 120 , 121 . 122 , 123 . viii CONTENTS .
Page 1
... axis , which is vertical . If the motion of the vessel be uniform , the fluid is soon found to be rotating with the vessel as one solid body . If the vessel be now brought to rest , the motion of the fluid continues for some time , but ...
... axis , which is vertical . If the motion of the vessel be uniform , the fluid is soon found to be rotating with the vessel as one solid body . If the vessel be now brought to rest , the motion of the fluid continues for some time , but ...
Page 2
... axis of the vessel , of any 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 ...
... axis of the vessel , of any 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 ...
Page 3
... axes , of the velocity at the point ( x , y , z ) at the time t . These quantities are then functions of the independent variables x , y , z , t . For any particular value of t they express the motion at that * Reckoned positive when ...
... axes , of the velocity at the point ( x , y , z ) at the time t . These quantities are then functions of the independent variables x , y , z , t . For any particular value of t they express the motion at that * Reckoned positive when ...
Page 4
... axes . The rate at which the x - component of the momen- tum of this element is increasing is pdxdydz ди t ; and this must be equal to the x - component of the forces acting on the element . Of these the external impressed forces give ...
... axes . The rate at which the x - component of the momen- tum of this element is increasing is pdxdydz ди t ; and this must be equal to the x - component of the forces acting on the element . Of these the external impressed forces give ...
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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 formulę 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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