A Treatise on the Mathematical Theory of the Motion of Fluids |
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Page vii
... equations 3 • 5-11 . The Eulerian form of the equations . Dynamical equations , equa- tion of continuity , surface ... equation of continuity 12 18-21 . Weber's Transformation . 14 24 Comparison of the Eulerian and Lagrangian methods ...
... equations 3 • 5-11 . The Eulerian form of the equations . Dynamical equations , equa- tion of continuity , surface ... equation of continuity 12 18-21 . Weber's Transformation . 14 24 Comparison of the Eulerian and Lagrangian methods ...
Page x
... Equations of motion . 215 . 176 , 177 . Formulæ of transformation 216 178 . Relations between the stresses across ... Equations of motion 221 223 Boundary - conditions . 182-185 . Examples : Flux through a straight tube Effect of ...
... Equations of motion . 215 . 176 , 177 . Formulæ of transformation 216 178 . Relations between the stresses across ... Equations of motion 221 223 Boundary - conditions . 182-185 . Examples : Flux through a straight tube Effect of ...
Page 1
... equations arrived at on this supposition , with proper modifications of the meanings of the symbols , still hold when we take account of the heterogeneous or molecular structure which is most probably possessed by all ordinary matter ...
... equations arrived at on this supposition , with proper modifications of the meanings of the symbols , still hold when we take account of the heterogeneous or molecular structure which is most probably possessed by all ordinary matter ...
Page 3
... equation of motion are of the second . We have then , ultimately , p = p1 , and similarly P = P , P. , which proves the theorem . = 4. The equations of motion of a fluid have been obtained in two different forms , corresponding to the ...
... equation of motion are of the second . We have then , ultimately , p = p1 , and similarly P = P , P. , which proves the theorem . = 4. The equations of motion of a fluid have been obtained in two different forms , corresponding to the ...
Page 5
... equations connecting the five unknown quantities u , v , w , p , p . We require therefore two additional equations ... equation is a kinematical relation between u , v , w , p obtained as follows . If V denote the volume of a moving ...
... equations connecting the five unknown quantities u , v , w , p , p . We require therefore two additional equations ... equation is a kinematical relation between u , v , w , p obtained as follows . If V denote the volume of a moving ...
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Common terms and phrases
angle angular velocity Ave Maria Lane axes axis C. J. CLAY Cambridge University Press centre Christ's College circle circuit CLAY & SONS co-ordinates component constant corresponding Crown 8vo cyclic Demy 8vo denote direction dT dT dx dx dx dy dz dy dy dydz Edited element equation of continuity equations of motion Fellow finite fluid forces formula formulæ given Green's Theorem Hence independent circuits infinitely small infinity integral internal boundary irrotational motion liquid LL.D mass moving Notes obtain origin P. G. TAIT parallel particle perpendicular plane xy portion Professor quantities radius RENDEL HARRIS satisfied shews side simply-connected solid sphere St John's College stream-lines surface theorem theory Thomson Trans Trinity College University of Cambridge University Press Warehouse velocity-potential vortex waves zero аф
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