TY - CHAP
T1 - Extended Thermodynamics of Turbolent Superfluids:Nonlinear Costitutive Theory
AU - Ardizzone, Lucia
AU - Gaeta, Giuseppa
PY - 2008
Y1 - 2008
N2 - In this paper we extend to nonlinear regimes a thermodynamical model of inhomogeneous superfluid turbulence previously formulated. The theory chooses as fundamental fields the density, the velocity, the energy density, the heat flux and the averaged vortex line length per unit volume. The relations which constrain the constitutive quantities are deduced from the entropy principle, using the Liu method of Lagrange multipliers. Using a Legendre transformation, in the paper it is shown that the constitutive theory is determined by the choice of only two scalar functions of the intrinsic Lagrange multipliers.
AB - In this paper we extend to nonlinear regimes a thermodynamical model of inhomogeneous superfluid turbulence previously formulated. The theory chooses as fundamental fields the density, the velocity, the energy density, the heat flux and the averaged vortex line length per unit volume. The relations which constrain the constitutive quantities are deduced from the entropy principle, using the Liu method of Lagrange multipliers. Using a Legendre transformation, in the paper it is shown that the constitutive theory is determined by the choice of only two scalar functions of the intrinsic Lagrange multipliers.
KW - Extended Thermodynamics
KW - Superfluid Turbolence
KW - Extended Thermodynamics
KW - Superfluid Turbolence
UR - http://hdl.handle.net/10447/38524
M3 - Chapter
SN - 978-88-548-0165-3
SP - 63
EP - 71
BT - Bollettino di Matematica pura e applicata
ER -