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Mathematical and Physical Papers

Mathematical and Physical Papers

Volume 4. Hydrodynamics and General Dynamics

$62.00 (R)

Part of Cambridge Library Collection - Physical Sciences

  • Date Published: June 2011
  • availability: Available
  • format: Paperback
  • isbn: 9781108029018

$ 62.00 (R)
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About the Authors
  • William Thomson, first Baron Kelvin (1824–1907), is best known for devising the Kelvin scale of absolute temperature and for his work on the first and second laws of thermodynamics, though throughout his 53-year career as a mathematical physicist and engineer at the University of Glasgow he investigated a wide range of scientific questions in areas ranging from geology to transatlantic telegraph cables. The extent of his work is revealed in the six volumes of his Mathematical and Physical Papers, published from 1882 until 1911, consisting of articles that appeared in scientific periodicals from 1841 onwards. Volume 4, published in 1910, includes articles from the period 1867–1906. Themes covered in this book examine issues relating to water, such as hydrodynamics, tidal theory and deep sea ship waves.

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    Product details

    • Date Published: June 2011
    • format: Paperback
    • isbn: 9781108029018
    • length: 584 pages
    • dimensions: 216 x 140 x 33 mm
    • weight: 0.73kg
    • contains: 65 b/w illus.
    • availability: Available
  • Table of Contents

    Hydrodynamics:
    1. On vortex atoms
    2. On vortex motion
    3. The translatory velocity of a circular vortex ring
    4. On the motion of free solids through a liquid
    5. Influence of wind and capillarity on waves in water supposed frictionless
    6. Ripples and waves
    7. On the forces experienced by solids immersed in a moving liquid
    8. On attractions and repulsions due to vibration
    9. On the motion of rigid solids in a liquid circulating irrotationally through perforations in them or in a fixed solid
    10. Vortex statics
    11. On the precessional motion of a liquid
    12. Floating magnets
    13. On gravitational oscillations of rotating water
    14. On the formation of coreless vortices by the motion of a solid through an inviscid incompressible fluid
    15. Vibrations of a columnar vortex
    16. On the stability of steady and of periodic fluid motion
    17. On a disturbing infinity in Lord Rayleigh's solution for waves in a plane vortex stratum
    18. On the average pressure due to impulse of vortex-rings on a solid
    19. On the figures of equilibrium of a rotating mass of fluid
    20. On the motion of a liquid within an ellipsoidal hollow
    21. On the stability and small oscillation of a perfect liquid full of nearly straight coreless vortices
    22. Towards the efficiency of sails, windmills, screw-propellers in water and air, and aeroplanes
    23. On the resistance of a fluid to a plane kept moving uniformly in a direction inclined to it at a small angle
    24. On the motion of a heterogeneous liquid, commencing from rest with a given motion of its boundary
    25. On the doctrine of discontinuity of fluid motion, in connection with the resistance against a solid moving through a fluid
    Theory of the Tides:
    26. On an alleged error in Laplace's Theory of the Tides
    27. Note on the 'Oscillations of the First Species' in Laplace's Theory of the Tides
    28. General integration of Laplace's differential equation of the tides
    Waves on Water:
    29. On stationary waves in flowing water
    30. On the waves produced by a single impulse in water of any depth, or in a dispersive medium
    31. On the front and rear of a free procession of waves in deep water
    32. On ship waves
    33. On the propagation of laminar motion through a turbulently moving inviscid liquid
    34. Rectilineal motion of viscous fluid between two parallel planes
    35. On deep-water two-dimensional waves produced by any given initiating disturbance
    36. On the front and rear of a free procession of waves in deep water
    37. Deep water ship-waves
    38. Deep sea ship-waves
    39. Initiation of deep-sea waves of three classes. 1. from a single displacement, 2. from a group of equal and similar displacements, 3. by a periodically varying surface-pressure
    40. Physical explanation of the mackerel sky
    General Dynamics:
    41. On some kinematical and dynamical theorems
    42. On a new form of centrifugal governor
    43. On a new astronomical clock, and a pendulum governor for uniform motion
    44. On the perturbation of the compass produced by the rolling of the ship
    45. On a new form of astronomical clock with free pendulum and independently governed uniform motion for escapement-wheel
    46. Elasticity viewed as possibly a mode of motion
    47. Steps towards a kinetic theory of matter
    48. On a gyrostatic working model of the magnetic compass
    49. Gyrostatic experiments
    50. On some test cases for the Maxwell-Boltzmann doctrine regarding distribution of energy
    51. On a decisive test-case disproving the Maxwell-Boltzmann doctrine distribution of kinetic energy
    52. On periodic motion of a finite conservative system
    53. On a theorem in plane kinetic trigonometry suggested by Gauss's theorem of curvatura integra
    54. On the stability of periodic motion
    55. On graphic solution of dynamical problems
    56. Reduction of every problem of two freedoms in conservative dynamics to the drawing of geodetic lines on a surface of giv

  • Author

    William Thomson

    Editor

    Sir Joseph Larmor

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