The balance equations of a compressible immiscible mixture of two perfect fluids arc derived by using a variational principle. It is shown that the equations of such a mixture obey Truesdell's third metaphysical principle. Then the governing equations, specialized by assuming that both phases have the same motion, are studied by means of a suitable asymptotic approach. It is derived an evolution equation representing a generalized Korteweg-de Vries equation containing also nonlinear terms in the higher order derivatives. Finally, the travelling wave solutions of this evolution equation are discussed.
Wave Features Related to a Model of Compressible Immiscible Mixtures of Two Perfect Fluids / Giovine, Pasquale; Oliveri, F. - In: ACTA MECHANICA. - ISSN 0001-5970. - 96:(1993), pp. 85-96.
Wave Features Related to a Model of Compressible Immiscible Mixtures of Two Perfect Fluids
GIOVINE, PASQUALE;
1993-01-01
Abstract
The balance equations of a compressible immiscible mixture of two perfect fluids arc derived by using a variational principle. It is shown that the equations of such a mixture obey Truesdell's third metaphysical principle. Then the governing equations, specialized by assuming that both phases have the same motion, are studied by means of a suitable asymptotic approach. It is derived an evolution equation representing a generalized Korteweg-de Vries equation containing also nonlinear terms in the higher order derivatives. Finally, the travelling wave solutions of this evolution equation are discussed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
