The Philosophical magazine; a journal of theoretical, experimental and applied physics . layer beneath the one in question has cooled * Trans. Roy. Soc. Ediu. vol. xxiii. pt. 1, p. 157. Also Nat. D; and Phil. Mag. 4th series, vol. xxv. p. 1 (1863). Compression dnrhig Cooling of a Solid Earth. 147 through ^, and contracted in the vertical dimension only, ,dh =z+Eyedz, • 0 = 2^Et 6dz, neglecting E^ Diagram of teDiperature-ciirve, adapted from Sir W. Thomsons g Y. 7000°^ O X the depth below the sixrface = x. N P the excess of temperatureabove the temperature of the surface
The Philosophical magazine; a journal of theoretical, experimental and applied physics . layer beneath the one in question has cooled * Trans. Roy. Soc. Ediu. vol. xxiii. pt. 1, p. 157. Also Nat. D; and Phil. Mag. 4th series, vol. xxv. p. 1 (1863). Compression dnrhig Cooling of a Solid Earth. 147 through ^, and contracted in the vertical dimension only, ,dh =z+Eyedz, • 0 = 2^Et 6dz, neglecting E^ Diagram of teDiperature-ciirve, adapted from Sir W. Thomsons g Y. 7000°^ O X the depth below the sixrface = x. N P the excess of temperatureabove the temperature of the surface =v. O Q the excess of the melt-ing temperature above that of the surface = V. P w the temperaturethrough which matter at the depth x has cooled =: 6. O a = a. Let a; be the depth of the layer under consideration fromthe surface at 0. Then, using Sir W. Thomsons notation,we shall have e = Y-v,or 7 px ,2 ^ = V- \ e-a^da; V V being the temperature of solidification, and h = j—y—; and 2 * TT a a depth, which may be determined at once (without know-ing the conductivity or the time of cooling) by means of the dv 2V _£!formula -j~ = —-= e «- from the temperature-rate near thedx a n^jr l48 Contraction during Cooling of a Solid Earth. surface, which, taken at 1° Fahr. per 51 feet, gives 51 a Y^^ If we follow Thomson in assuming 7000° Fahr. for the tem-perature of solidification (a very high value) this gives a=420832 feet, and at twice this depth, ^=V x000468; below which t
Size: 1599px × 1562px
Photo credit: © The Reading Room / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookdec, bookpublisherlondontaylorfrancisetc, booksubjectphysics
