A Treatise on the Mathematical Theory of the Motion of Fluids |
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Page vii
... Rotating fluid . CHAPTER III . 18 • 22 25 IRROTATIONAL MOTION . 38 40 . Analysis of the motion of a fluid element ' Circulation . ' 41 , 42 . 43-52 . 53-59 . Irrotational motion in simply - connected spaces Particular case of a liquid ...
... Rotating fluid . CHAPTER III . 18 • 22 25 IRROTATIONAL MOTION . 38 40 . Analysis of the motion of a fluid element ' Circulation . ' 41 , 42 . 43-52 . 53-59 . Irrotational motion in simply - connected spaces Particular case of a liquid ...
Page viii
... rotation of a solid in a liquid Examples . 91 90-93 . 94 94-98 . Inverse complex functions Kirchhoff's method . Examples . Discontinuous Motions Helmholtz's and Kirchhoff's solutions . The Vens Contracta . Impact of a stream on a lamina ...
... rotation of a solid in a liquid Examples . 91 90-93 . 94 94-98 . Inverse complex functions Kirchhoff's method . Examples . Discontinuous Motions Helmholtz's and Kirchhoff's solutions . The Vens Contracta . Impact of a stream on a lamina ...
Page ix
... rotation Interpretation . Electromagnetic analogy . · 149 132 . 888 Vortex - Sheet . · 80 · 154 133 . Velocity - Potential due to a vortex 156 84 134 . Dynamical theorems 157 135-137 . Kinetic Energy 159 87 138 , 139 . Rectilinear ...
... rotation Interpretation . Electromagnetic analogy . · 149 132 . 888 Vortex - Sheet . · 80 · 154 133 . Velocity - Potential due to a vortex 156 84 134 . Dynamical theorems 157 135-137 . Kinetic Energy 159 87 138 , 139 . Rectilinear ...
Page 1
... rotate about its axis , which is vertical . If the motion of the vessel be uniform , the fluid is soon found to be rotating with the vessel as one solid body . If the vessel be now brought to rest , the motion of the fluid continues for ...
... rotate about its axis , which is vertical . If the motion of the vessel be uniform , the fluid is soon found to be rotating with the vessel as one solid body . If the vessel be now brought to rest , the motion of the fluid continues for ...
Page 29
... these values shall form a continuous series . This is not the case with the function in ( 19 ) ; for the value of there. AP IL 29 33-35 . ] ROTATING FLUID . Examples: Efflux of liquids and gases The Vena Contracta Rotating fluid.
... these values shall form a continuous series . This is not the case with the function in ( 19 ) ; for the value of there. AP IL 29 33-35 . ] ROTATING FLUID . Examples: Efflux of liquids and gases The Vena Contracta Rotating fluid.
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Common terms and phrases
angle angular velocity axis barrier Cambridge Warehouse centre circle circuit closed curve component corresponding cylinder Demy 8vo denote density differential coefficients direction discontinuity distance drawn dT dT dt dx dx dy dz dy dy edition element energy equal equation of continuity equations of motion equipotential surface evanescible exact differential expression external impressed forces fluid follows forces act formula given Green's theorem Hence impulsive pressure incompressible incompressible fluid infinitely small infinity integration internal boundary irrotational motion Let us suppose lune mean value normal velocity obtain orifice origin P. G. TAIT parallel particle perpendicular portion quantities radius region occupied respectively rotation satisfied shew side simply-connected single-valued function space sphere St John's College straight lines stream-lines surface-integral theorem tion Trans University of Cambridge velocity-potential vortex vortex-lines waves whilst zero аф