Mathematical and Physical Papers, Volume 1University Press, 1880 - Hydrodynamics |
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Page 11
... manner the fluid may have been put in motion , it seems probable that , if we neglect the friction against the sides of the vessel , the fluid will have a tendency to settle down into some steady mode of motion . Consequently , taking ...
... manner the fluid may have been put in motion , it seems probable that , if we neglect the friction against the sides of the vessel , the fluid will have a tendency to settle down into some steady mode of motion . Consequently , taking ...
Page 24
... manner , the lamina in B being also moved in any arbi- trary manner . It is clear that , except for one particular motion of the lamina , the motion of the fluid in B will be different from that of the fluid in A. The velocities u , v ...
... manner , the lamina in B being also moved in any arbi- trary manner . It is clear that , except for one particular motion of the lamina , the motion of the fluid in B will be different from that of the fluid in A. The velocities u , v ...
Page 25
... manner by any solid bodies , if the motion begin from rest , and if there be none of the cutting motion mentioned in Art . 2 , the motion at the time t will be the [ N.B. It is only within a space which is at least doubly connected that ...
... manner by any solid bodies , if the motion begin from rest , and if there be none of the cutting motion mentioned in Art . 2 , the motion at the time t will be the [ N.B. It is only within a space which is at least doubly connected that ...
Page 28
... manner , the motion of the fluid could be determined : then the actual motion can be approximated to in the following manner . Conceive the place of B to be occupied by fluid , and A to receive its given motion ; then by hypothesis the ...
... manner , the motion of the fluid could be determined : then the actual motion can be approximated to in the following manner . Conceive the place of B to be occupied by fluid , and A to receive its given motion ; then by hypothesis the ...
Page 29
... manner , any additional motion of translation communicated to the vessel will not affect the relative motion of the fluid . For it is evident that on the supposition that the relative motion is not affected the equation ( B ) and the ...
... manner , any additional motion of translation communicated to the vessel will not affect the relative motion of the fluid . For it is evident that on the supposition that the relative motion is not affected the equation ( B ) and the ...
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Common terms and phrases
according angle apply approximation arbitrary axes axis become infinite Cambridge Philosophical Society canal centre co-ordinates condition Consequently considered constant convergent series corresponding cosines cylinder Demy Octavo denote depth determined direction discontinuous divergent series dx dy elastic equal equation essentially convergent ether exact differential expansion expression finite force formula friction function given h vanishes Hence homogeneous function horizontal increases inertia integral length limit molecules moment of inertia observed obtained Octavo order of approximation oscillation oscillatory waves paper parallel parallelepiped particles perpendicular plane Poisson positive pressure quantities ratio rectangular refracting respect result satisfied shew shewn sines solid solitary wave sphere St John's College suppose surface tangential theorem theory tion variables velocity of propagation wave motion whence zero ηπα аф
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