A Treatise on Hydromechanics, Part 1 |
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Page 4
... homogeneous , and therefore supposing the solid indefinitely diminished , while it retains always a similar form , the latter force vanishes in comparison with the pressures on the faces ; and these pressures con- sequently form of ...
... homogeneous , and therefore supposing the solid indefinitely diminished , while it retains always a similar form , the latter force vanishes in comparison with the pressures on the faces ; and these pressures con- sequently form of ...
Page 9
... homogeneous fluid such that the mass of a volume v is equal to m , or such that m = pv ; then p may be defined as the mean density of the portion v of the heterogeneous fluid , and the ultimate value of p when v is indefinitely ...
... homogeneous fluid such that the mass of a volume v is equal to m , or such that m = pv ; then p may be defined as the mean density of the portion v of the heterogeneous fluid , and the ultimate value of p when v is indefinitely ...
Page 12
... homogeneous or heterogeneous , to be at rest under the action of given forces , and let it be required to determine the conditions of equilibrium , and the pressure at any point . Let x , y , z be the co - ordinates referred to ...
... homogeneous or heterogeneous , to be at rest under the action of given forces , and let it be required to determine the conditions of equilibrium , and the pressure at any point . Let x , y , z be the co - ordinates referred to ...
Page 14
... Homogeneous Liquids . If the fluid be homogeneous and incompressible , Xdx + Ydy + Zdz must be a perfect differential in order that equilibrium may be possible . In other words , the system of forces must be a conser- vative system ...
... Homogeneous Liquids . If the fluid be homogeneous and incompressible , Xdx + Ydy + Zdz must be a perfect differential in order that equilibrium may be possible . In other words , the system of forces must be a conser- vative system ...
Page 15
... homogeneous fluid under the action of such forces is always possible . 19. Elastic Fluids . When the fluid is elastic , an ad- ditional condition is introduced , for , if the temperature be constant , p = kp ; dp_1 p = k ( Xd + Ydy + ...
... homogeneous fluid under the action of such forces is always possible . 19. Elastic Fluids . When the fluid is elastic , an ad- ditional condition is introduced , for , if the temperature be constant , p = kp ; dp_1 p = k ( Xd + Ydy + ...
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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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