A Treatise on Hydromechanics, Part 1 |
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Page 1
... hence we are led to the following Definition of a Perfect Fluid . 2. A perfect fluid is an aggregation of particles which yield at once to the slightest effort made to separate them from each other . If then an indefinitely thin plane ...
... hence we are led to the following Definition of a Perfect Fluid . 2. A perfect fluid is an aggregation of particles which yield at once to the slightest effort made to separate them from each other . If then an indefinitely thin plane ...
Page 2
... Hence it follows that , in a viscous fluid at rest , there can be no tangential action , or shearing stress , and therefore , as in the case of a perfect fluid , The pressure of a fluid at rest is always normal to any surface with which ...
... Hence it follows that , in a viscous fluid at rest , there can be no tangential action , or shearing stress , and therefore , as in the case of a perfect fluid , The pressure of a fluid at rest is always normal to any surface with which ...
Page 5
... Hence PQ p ' = p + [ " poƒ da , pf or p ' is constant for all positions of the plane through P. * The following considerations may complete this part of the proof : Let AB , A'B ' be the two planes through P ; p , p ' the mean densities ...
... Hence PQ p ' = p + [ " poƒ da , pf or p ' is constant for all positions of the plane through P. * The following considerations may complete this part of the proof : Let AB , A'B ' be the two planes through P ; p , p ' the mean densities ...
Page 7
... Hence if p be the density of a certain quantity of a gaseous fluid , and p its pressure , then , as long as the temperature remains the same , p = kp , where k is a constant , to be determined experimentally for the fluid at a given ...
... Hence if p be the density of a certain quantity of a gaseous fluid , and p its pressure , then , as long as the temperature remains the same , p = kp , where k is a constant , to be determined experimentally for the fluid at a given ...
Page 13
... 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 density at P , and we obtain By a similar process , dp = = pX ...
... 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 density at P , and we obtain By a similar process , dp = = pX ...
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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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