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Entropy production and dissipation function in heat conduction

Comparing this equation with Eq. (3.284), we find the entropy production term [Pg.140]

represents the heat flow rate. The rate [Pg.140]

Three-dimensional heat conduction in an isotropic solid is [Pg.141]

Jq is the heat flow, V( 1/7 ) is the inverse temperature gradient representing the thermodynamic force for heat conduction, and JJT = Js is the entropy flow. [Pg.141]

The local entropy production for diffusion of several substances per unit volume is [Pg.141]


Example 3.14 Entropy production and dissipation function in heat conduction Consider one-dimensional heat conduction in an isotropic solid rod. The surface of the rod is insulated and the cross-sectional area is constant (Figure 3.2). Describe the entropy production and the dissipation function for the heat conduction in an isotropic rod. The entropy change of the rod element is... [Pg.140]

Example 3.14 Entropy production and dissipation function in heat conduction... [Pg.161]




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Conduction entropy

Conduction heating

Conductive heating

Conductivity entropy

Dissipated heat

Dissipation function

Dissipative function

Entropy function

Entropy functional

Entropy heat and

Functional products

Heat conductance

Heat conduction

Heat conduction-heating products

Heat conductive

Heat dissipation

Heat production

Product function

Product functionality

Production functions

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