A Treatise on Hydrostatics and Hydrodynamics |
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Page 3
... acting on the fluid , and the action between the solidified portion and the rest of the fluid , or between the solidi- fied portion and any smooth surface with which it may be in contact , will be , as before , normal to its surface ...
... acting on the fluid , and the action between the solidified portion and the rest of the fluid , or between the solidi- fied portion and any smooth surface with which it may be in contact , will be , as before , normal to its surface ...
Page 5
... acting on these portions of fluid . Q B B ' A / A Then the difference of the forces on QAB and QA'B ' , ( the volumes of which are equal ) = the difference of the forces on APA ' and BPB ' = ( p'f ' — pf ) . vol . APA ' 2 = ò ( pƒ ) ...
... acting on these portions of fluid . Q B B ' A / A Then the difference of the forces on QAB and QA'B ' , ( the volumes of which are equal ) = the difference of the forces on APA ' and BPB ' = ( p'f ' — pf ) . vol . APA ' 2 = ò ( pƒ ) ...
Page 11
... acting on a particle dm of fluid at the point xyz . Hence for the equilibrium of PQ , a necessary condition is or - ( p + Sp ) a − pa = Xpadx , Sp = pXdx . Proceeding to the limit when dx , and therefore dp , is in- definitely ...
... acting on a particle dm of fluid at the point xyz . Hence for the equilibrium of PQ , a necessary condition is or - ( p + Sp ) a − pa = Xpadx , Sp = pXdx . Proceeding to the limit when dx , and therefore dp , is in- definitely ...
Page 11
... acting on a particle dm of fluid at the point xyz . Hence for the equilibrium of PQ , a necessary condition is or ( p + dp ) a - pa = Xpadx , Sp = pXdx . Proceeding to the limit when dx , and therefore Sp , is in- definitely diminished ...
... acting on a particle dm of fluid at the point xyz . Hence for the equilibrium of PQ , a necessary condition is or ( p + dp ) a - pa = Xpadx , Sp = pXdx . Proceeding to the limit when dx , and therefore Sp , is in- definitely diminished ...
Page 19
... acting on any particle m of the fluid , and of the fluid pressure upon it , must be equal to a force mor towards the axis , o being the angular velocity , and r the distance of m from the axis ; it follows therefore that the external ...
... acting on any particle m of the fluid , and of the fluid pressure upon it , must be equal to a force mor towards the axis , o being the angular velocity , and r the distance of m from the axis ; it follows therefore that the external ...
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Common terms and phrases
angle angular velocity axes axis vertical Cambridge centre of gravity centre of pressure co-ordinates cone constant curve cylinder D'Alembert's principle density depth determine direction disc displaced fluid distance dy dx dz dy elastic fluid equal pressure equilibrium filled with fluid floats fluid at rest fluid displaced fluid pressure force free surface function given Hence homogeneous horizontal plane immersed incompressible fluid inelastic latus rectum length mass of fluid mercury obtained orifice oscillations parallel particles perfect differential perpendicular piston portion position of equilibrium quantity of fluid radius ratio resultant pressure rotation shew solid specific gravity sphere spherical spheroid string suppose surfaces of equal temperature tension tube University of Cambridge vapour vertex vertical plane vessel vibrations volume wave weight whole pressure аф
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