A Treatise on Hydromechanics, Part 1 |
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Page 5
... acting on these portions of fluid . B B ' 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 = 8 ( pf ) . aAA ' , Зп ...
... acting on these portions of fluid . B B ' 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 = 8 ( pf ) . aAA ' , Зп ...
Page 13
... acting on a particle dm of fluid at the point xyz . or Hence , for the equilibrium of PQ , - ( p + Sp ) a − pa = Xpadx , δρ = ρΧδα . Proceeding to the limit when da , and therefore Sp , is indefinitely diminished , p will be the ...
... acting on a particle dm of fluid at the point xyz . or Hence , for the equilibrium of PQ , - ( p + Sp ) a − pa = Xpadx , δρ = ρΧδα . Proceeding to the limit when da , and therefore Sp , is indefinitely diminished , p will be the ...
Page 16
... . component , in the direction PQ , of the element dm , Then , if Som be the forces acting on an ( p + dp ) a - pa = pads , and therefore , proceeding to the limit , dp = 16 SURFACES OF EQUAL PRESSURE , AND FREE SURFACES .
... . component , in the direction PQ , of the element dm , Then , if Som be the forces acting on an ( p + dp ) a - pa = pads , and therefore , proceeding to the limit , dp = 16 SURFACES OF EQUAL PRESSURE , AND FREE SURFACES .
Page 19
... acting upon it , per unit of mass , is equal to the difference of potentials divided by the distance between the surfaces of equal pressure , and as the mass of the element is directly proportional to this distance , it follows that the ...
... acting upon it , per unit of mass , is equal to the difference of potentials divided by the distance between the surfaces of equal pressure , and as the mass of the element is directly proportional to this distance , it follows that the ...
Page 22
... acting forces about the centre must vanish . Let x , y , z be co - ordinates of the centre , and x + a , y + B , z + y of any point inside the small sphere . Then , p being the density at the centre , the expression Edm ( ZB - Yy ) ...
... acting forces about the centre must vanish . Let x , y , z be co - ordinates of the centre , and x + a , y + B , z + y of any point inside the small sphere . Then , p being the density at the centre , the expression Edm ( ZB - Yy ) ...
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Common terms and phrases
2nd edition 3rd edition 4th edition Aeneid angular velocity axis vertical body Books Camb Cambridge catenary catenoid centre of gravity centre of pressure cone constant cos² Crown 8vo curvature cylinder Demy 8vo density depth distance dx dy dy dx elastic English equal pressure equation equilibrium equilibrium is stable F. A. PALEY Fcap floats fluid pressure force free surface given horizontal immersed J. H. FREESE John's College lamina latus rectum LL.D mass mercury metacentre obtain paraboloid particle perpendicular plane of floatation position of equilibrium prove quantity radius resultant pressure revised revolution rotation sewed shew Small post 8vo solid solid of revolution spherical spheroid surface of revolution surfaces of equal tangent temperature Texts Translated Trinity College vertex vessel vols volume weight whole pressure
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