By George Gabriel Stokes
Sir George Stokes (1819-1903) demonstrated the technological know-how of hydrodynamics along with his legislation of viscosity describing the rate of a small sphere via a viscous fluid. He released no books, yet was once a prolific lecturer and author of papers for the Royal Society, the British organization for the development of technology, the Victoria Institute and different mathematical and medical associations. those accrued papers (issued among 1880 and 1905) are as a result the one on hand list of the paintings of a good and influential mathematician, who was once Lucasian Professor of arithmetic in Cambridge for over fifty years, grasp of Pembroke university, President of the Royal Society (1885-1890), affiliate Secretary of the Royal fee at the college of Cambridge and a Member of Parliament for the college.
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Sir George Stokes (1819-1903) demonstrated the technology of hydrodynamics along with his legislations of viscosity describing the rate of a small sphere via a viscous fluid. He released no books, yet used to be a prolific lecturer and author of papers for the Royal Society, the British organization for the development of technology, the Victoria Institute and different mathematical and clinical associations.
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Extra resources for Mathematical and Physical Papers, Volume 3
There remains the more difficult step of finding the relation between U and G', D". For this purpose let us seek the ultimate value of the second member of equation (89) when r increases indefinitely. e O r , or, to speak more precisely, the modulus of the former expression will ultimately be incomparably greater than the modulus of either of the latter. Hence, in finding the ultimate value of the expression for F3(r) in (89), we may replace the limits 0 and ^ir of eo by 0 and a>1> where a>1 is a positive quantity as small as we please, which we may suppose to vanish after r has become infinite.
Solution of the equations in the case of an infinite cylinder oscillating in an unlimited mass of fluid, in a direction perpendicular to its axis. 24. Suppose a long cylindrical rod suspended at a point in its axis, and made to oscillate as a pendulum in an unlimited mass of fluid. The resistance experienced by any element of the cylinder comprised between two parallel planes drawn perpendicular to the axis will manifestly be very nearly the same as if the element belonged to an infinite cylinder oscillating with the same linear velocity.
2i . £ sec 5- sin -^ ir. AM. 00 sin —5— 7T . A M , ... o 37. The following table contains the values of the functions k and le calculated for 40 different values of m. From in = "1 to HI = 1'5 the calculation was performed by means of the formula (105); the rest of the table was calculated by means of the series (113). In the former part of the calculation, six places of decimals were employed in calculating the functions Mo, &c. given by (103). The last figure was then struck out, and five-figure logarithms were employed in multiplying the four functions Mo, 4—2 52 ON THE EFFECT OF THE INTERNAL FRICTION OF FLUIDS M\, Me, and 1 — M'e by TT/4, and by L, as well as in reducing the right-hand member of (105) to the form k + J — 1 k'.
Mathematical and Physical Papers, Volume 3 by George Gabriel Stokes