By V.M. Kamenkovich (Eds.)
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Extra info for Fundamentals of Ocean Dynamics
They do not contain terms of zero order, since in a state of thermodynamic equilibrium all fluxes vanish. : ... are called phenomenological coefficients. 1) form the foundation of the thermodynamics of irreversible processes. For isotropic media, they simplify significantly, since for such media all tensors of phenomenological coefficients must be isotropic (cf. 5). However, an isotropic tensor of third order can only be zero, and one arrives at the conclusion that fluxes of heat and salt q and Z, d o not depend on the thermodynamic forces eop/2T,and that momentum fluxes (Joii caused by viscous stresses do not depend on the thermodynamic forces This fact is known as Curie’s theorem.
21) is readily rewritten in the form J J ( K 2 + E 2 ) dzdX + J F t 2 d Z -H X 2: POP0 - Jx ( 2dso/dzsf + 2dqo/dz ‘ l ) Jxop2dzdC - -H Z dC =constant. 14) and taking into consideration that K 2 = p0(vf/2),one finds = constant. 22). Since first-order motions are under consideration, the magnitude of the kinetic energy of such motion is of second order. ,JCE2dzdZ. ,Jz&dzdC ,since only characteristics of first order enter into the expression for C,while, as is easily shown, also second-order characteristics enter into the expression for E 2 .
Assume that the system under consideration is isolated; then its entropy must be a maximum and simultaneously the following laws of conservation must be fulfilled. 3) 26 where Y is the radius vector of the point. 4) 1 (4)The masses of each component of the system must be constant Jp,dV = constant, V Sp,dV = constant . 5), in essence, yield an exact formulation of what must be understood by the condition of isolation of a system. 8)], it has been seen that the density of the entropy pqm may be assumed to be a function of pe,, ps, pw.
Fundamentals of Ocean Dynamics by V.M. Kamenkovich (Eds.)