The relation between wind velocity at 1000 metres altitude and the surface pressure distribution | Zendy

E. GOLD | Zendy

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The relation between wind velocity at 1000 metres altitude and the surface pressure distribution

Author(s) -

E. GOLD

Publication year - 1908

Publication title -

proceedings of the royal society of london series a containing papers of a mathematical and physical character

Language(s) - English

Resource type - Journals

eISSN - 2053-9150

pISSN - 0950-1207

DOI - 10.1098/rspa.1908.0038

Subject(s) - physics , density of air , radius , altitude (triangle) , pressure gradient , wind speed , angular velocity , mechanics , atmospheric pressure , geodesy , radius of curvature , wind gradient , pressure gradient force , curvature , surface (topology) , classical mechanics , geometry , meteorology , geology , wind profile power law , mathematics , mean curvature , computer security , computer science , mean curvature flow

For the steady horizontal motion of air along a path whose radius of curvature is r , we may write directly the equation (ω r sin λ ± v )2 / r = 1/ρ ∂ p / ∂ r +(ω r sin λ )2 / r , expressing the fact that the part of the centrifugal force arising from the motion of the wind is balanced by the effective gradient of pressure. In the equation p is atmospheric pressure, ρ density, v velocity of moving air, λ is latitude, and ω is the angular velocity of the earth about its axis.

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