The theory of the equilibrium and motion of fluids / By Thomas Webster.

  • Webster, Thomas, 1810-1875.
Date:
[1836]
Catalogue details

Licence: Public Domain Mark

Credit: The theory of the equilibrium and motion of fluids / By Thomas Webster. Source: Wellcome Collection.

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    ^/gmhjl +/3) and we must determine the value of (3. From the same article, we have gmhp(l + s + (3s) gmhp ^ (3s ^ P = 1>U r') = D V1 + 1+s) gmh = D very nearly. D(l + s) p(l + Ps).(0 Let rj be the increase of temperature corresponding to this value of s, so that the temperature which was 9 when the fluid was at rest becomes 0 + rj at the time t when the fluid is in motion. At this instant, p, p, 0 + beino- the simultaneous values of the elastic force, the density, and the temperature, we have the equation p - kp[l + a(0 + rj)}- Rut the fluid being at rest, we have p = gmh, p — D) n = 0, and the preceding becomes gmh ^ kD{\ + a6) ; hence, the fluid being in motion, gmh 1 + a (9 + rj) gmh / at] \ p= ~1TP r+^0 = “zT*0 v1 + TT^e); and comparing this with the preceding equation (l) we have, P (1+a 9) s' But the vibrations of the air being extremely rapid, so