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William John Macquorn Rankine FRSE FRS (/ ˈ r æ ŋ k ɪ n /; 5 July 1820 – 24 December 1872) was a Scottish mathematician and physicist. He was a founding contributor, with Rudolf Clausius and William Thomson (Lord Kelvin), to the science of thermodynamics , particularly focusing on its First Law.
In February 1862, Lord Kelvin used the existence of the Sun and the stars as an empirical proof that the universe has not achieved thermodynamic equilibrium, as entropy production and free work are still possible, and there are temperature differences between objects. Helmholtz and Rankine expanded Kelvin's work soon after. [2]
Rankine's theory (maximum-normal stress theory), developed in 1857 by William John Macquorn Rankine, [1] is a stress field solution that predicts active and passive earth pressure. It assumes that the soil is cohesionless, the wall is frictionless, the soil-wall interface is vertical, the failure surface on which the soil moves is planar , and ...
A schematic diagram of a shock wave situation with the density , velocity , and temperature indicated for each region.. The Rankine–Hugoniot conditions, also referred to as Rankine–Hugoniot jump conditions or Rankine–Hugoniot relations, describe the relationship between the states on both sides of a shock wave or a combustion wave (deflagration or detonation) in a one-dimensional flow in ...
Animation of a Rankine vortex. Free-floating test particles reveal the velocity and vorticity pattern. The Rankine vortex is a simple mathematical model of a vortex in a viscous fluid. It is named after its discoverer, William John Macquorn Rankine. The vortices observed in nature are usually modelled with an irrotational (potential or free ...
William Hamilton^º (1805–1865) Samuel Earnshaw (1805–1888) Julius Weisbach (1806–1871) Athanase Dupré (1808–1869) Joseph Liouville (1809–1882) Auguste Bravais (1811–1863) Osip Ivanovich Somov (1815–1876) Charles-Eugène Delaunay (1816–1872) Jonathan Homer Lane (1819–1880) William John Macquorn Rankine (1820–1872) Pafnuty ...
A former Tacoma police officer who was acquitted in the death of Manuel Ellis and left his job with a $500,000 payout has filed multi-million dollar claims against city and state officials ...
Also involved editorially were William John Macquorn Rankine, Francis Bowen, John Eadie, and John Pringle Nichol. [ 6 ] [ 7 ] [ 8 ] A list of contributors appeared in the first volume, [ 9 ] and a further list in volume II.