...fluid acted on by no forces is at rest, and a spherical portion of the fluid is suddenly annihilated ; find the instantaneous alteration of pressure at any point of the mass, and prove that the cavity will be filled up in the time [ — ] a - , where a \-srJ JoVi_x« is the initial...

...quantities of fluid, which flow, during the time St, across the circles of radii i• and r+Sr. taneous alteration of pressure at any point of the mass, and...centre, and the velocity at that distance. Taking F= -^- , we obtain but, initially, V= 0 for all values of r ; .'. .F(O) =0, and the initial value of...

...fluid acted on by no forces is at rest, and a spherical portion of the fluid is suddenly annihilated ; find the instantaneous alteration of pressure at any point of the mass, and prove that the cavity will be filled up in the time (—] a I , where a is the initial radius of the...

...fluid acted on by no forces is at rest, and a spherical portion of the fluid is suddenly annihilated ; find the instantaneous alteration of pressure at any point of the mass, and prove that the cavity will be filled up in the time \ ) a I , where a is the initial radius of the...

...1859 referred to Cambridge Senate House Problems of 1847. Besant's formulation of the problem was: "An infinite mass of homogeneous incompressible fluid...infinite distance being supposed to remain constant. " Due to the technical significance and the scientific challenge, this problem had been considered...

...rise very high in the fluid near the inner boundary. As formulated by Besant *, the problem is — "An infinite mass of homogeneous incompressible fluid...infinite distance being supposed to remain constant." Since the fluid is incompressible, the whole motion is determined by that of the inner boundary. If...

...may rise very high in the fluid near the inner boundary. As formulated by Besant*, the problem is — "An infinite mass of homogeneous incompressible fluid...infinite distance being supposed to remain constant." Since the fluid is incompressible, the whole motion is determined by that of the inner boundary. If...

...may rise very high in the fluid near the inner boundary. As formulated by Besant*, the problem is — "An infinite mass of homogeneous incompressible fluid...infinite distance being supposed to remain constant." Since the fluid is incompressible, the whole motion is determined by that of the inner boundary. If...

...fluid acted on by no forces is at rest, and a spherical portion of the fluid Lsuddenly annihilated ; find the instantaneous alteration of pressure at any point of the mass, and prove that the cavity will be filled up in the time ( — ) a I =-^ , where o is the initial radius...