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Applied Calculus of Variations for Engineers, 2nd Edition
book

Applied Calculus of Variations for Engineers, 2nd Edition

by Louis Komzsik
June 2014
Intermediate to advanced content levelIntermediate to advanced
233 pages
5h 42m
English
CRC Press
Content preview from Applied Calculus of Variations for Engineers, 2nd Edition
Computational mechanics 187
structure and the dissipation of energy into the surrounding space is negligible.
Assuming small motions, the equilibrium of a compressible fluid inside a
cavity is governed by the Euler equation derived in Section 10.5
ρ¨u = −∇p,
where ¨u is the acceleration of the particles and p is the pressure in the fluid.
Furthermore, ρ is the density and is the differential operator.
We also assume locally linear pressure-velocity behavior of the fluid as
p = bu,
where b is the so-called bulk modulus related to the density of the fluid and
the speed of sound. Differentiating twice with respect to time and substitut-
ing the Euler equation ...
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Publisher Resources

ISBN: 9781482253597