A Treatise on Hydromechanics, Parte1Deighton, Bell, 1891 - 268 páginas |
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Página 3
... possible : moreover , the phe- nomena of the tides shew that fluids are subject to the attractive forces of the sun and moon as well as of the earth , and it is assumed , from these and other similar facts , that fluids of all kinds are ...
... possible : moreover , the phe- nomena of the tides shew that fluids are subject to the attractive forces of the sun and moon as well as of the earth , and it is assumed , from these and other similar facts , that fluids of all kinds are ...
Página 14
... possible . In other words , the system of forces must be a conser- vative system , and the forces can be represented by the space- variations of a potential function . We then have , if V be the potential function , and dp = = - - pd V ...
... possible . In other words , the system of forces must be a conser- vative system , and the forces can be represented by the space- variations of a potential function . We then have , if V be the potential function , and dp = = - - pd V ...
Página 15
... possible with such a system of forces . When the density is constant , the equations ( B ) become dx dY dZ 9 dy dX dY = > = dz dy dx dy dz dz dx ' which are in this case always satisfied , and therefore the equilibrium of a homogeneous ...
... possible with such a system of forces . When the density is constant , the equations ( B ) become dx dY dZ 9 dy dX dY = > = dz dy dx dy dz dz dx ' which are in this case always satisfied , and therefore the equilibrium of a homogeneous ...
Página 17
... possible , we obtain by inte- gration p = ( x , y , z ) . ( x , y , z ) = p ... If p be constant . ( A ) , is the equation to the surface at all points of which the pressure is constant , and by giving different values to p we obtain a ...
... possible , we obtain by inte- gration p = ( x , y , z ) . ( x , y , z ) = p ... If p be constant . ( A ) , is the equation to the surface at all points of which the pressure is constant , and by giving different values to p we obtain a ...
Página 24
... possible position . Hence it follows that , in the case of heterogeneous liquid , the density must increase with the depth , for otherwise the equilibrium would be unstable . Thus , if heterogeneous liquid be poured from one vessel to ...
... possible position . Hence it follows that , in the case of heterogeneous liquid , the density must increase with the depth , for otherwise the equilibrium would be unstable . Thus , if heterogeneous liquid be poured from one vessel to ...
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Términos y frases comunes
action angular velocity attraction axes axis vertical catenary catenoid centre of gravity centre of pressure co-ordinates conditions of equilibrium cone constant cos² cylinder density depth determine displaced fluid distance dx dy Edition elastic Elastica equal pressure equation equilibrium equilibrium is stable F. A. Paley Fcap film fluid displaced fluid pressure force free surface given Hence homogeneous liquid horizontal immersed lamina latus rectum Lintearia mercury metacentre obtain oscillation parabola paraboloid parallel particle perpendicular plane of floatation portion position of equilibrium principal tensions prove quantity radius of curvature ratio resultant pressure rotation shew sin² solid solid of revolution sphere spherical spheroid supposed surface of revolution surfaces of equal tangent temperature tube vapour varies vertical angle vertical plane vessel volume weight whole pressure
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