A Treatise on Hydromechanics, Part 1 |
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... Curve 199 155-156 Parallel Plates . Circular Tube . 204 157-159 Drops of Liquid · 207 160 Floating Needle 212 161-170 Liquid Films 213 4 CHAPTER XI . 171-181 Relative equilibrium of a mass of rotating liquid . Appli- cation to the ...
... Curve 199 155-156 Parallel Plates . Circular Tube . 204 157-159 Drops of Liquid · 207 160 Floating Needle 212 161-170 Liquid Films 213 4 CHAPTER XI . 171-181 Relative equilibrium of a mass of rotating liquid . Appli- cation to the ...
Page 19
... curves of equal pressure and density . From ( B ) we obtain dx dy dz . ( C ) . Z - dp dp dp - Y X ydp - x dp dy dz dz dx dx dy one surface , and a portion of the fluid cut out by normals through the circumference . The portion of fluid ...
... curves of equal pressure and density . From ( B ) we obtain dx dy dz . ( C ) . Z - dp dp dp - Y X ydp - x dp dy dz dz dx dx dy one surface , and a portion of the fluid cut out by normals through the circumference . The portion of fluid ...
Page 20
... curves of equal pressure and density . 2nd . Let the fluid be elastic and of variable temperature ; then dp_ Xd + Ydy + Zdz p = KT and the curves of equal pressure and temperature are given by the simultaneous equations dp = 0 , dT = 0 ...
... curves of equal pressure and density . 2nd . Let the fluid be elastic and of variable temperature ; then dp_ Xd + Ydy + Zdz p = KT and the curves of equal pressure and temperature are given by the simultaneous equations dp = 0 , dT = 0 ...
Page 21
... curves of equal pressure and temperature , and therefore also of equal density . 23. We shall now prove that the conditions of equilibrium of a finite mass of fluid are satisfied by the equations of Art . 15 . Consider the fluid within ...
... curves of equal pressure and temperature , and therefore also of equal density . 23. We shall now prove that the conditions of equilibrium of a finite mass of fluid are satisfied by the equations of Art . 15 . Consider the fluid within ...
Page 22
... . 0 The expression for the moment then becomes , neglecting higher powers of a , B , y , d d Απη { 2 ( 62 ) - 2 ( or ) } 477 , dy dz ( pY ) 15 and , in order that this may be evanescent , 22 CURVES OF EQUAL PRESSURE AND DENSITY .
... . 0 The expression for the moment then becomes , neglecting higher powers of a , B , y , d d Απη { 2 ( 62 ) - 2 ( or ) } 477 , dy dz ( pY ) 15 and , in order that this may be evanescent , 22 CURVES OF EQUAL PRESSURE AND DENSITY .
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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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