A Treatise on the Mathematical Theory of the Motion of Fluids

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