CHAPTER 3  >  MATERIALS  >  RELATIONS
Section 3.1
Entropy and Temperature


Law of balance of entropy in instantaneous (dynamical) form. In addition to (the sum of) the flows, there is a term denoting the rate of production of entropy (which is non-negative).



Section 3.2
Energy in Thermal Processes


Power of a thermal process.


Dissipation rate: Rate at which energy is used in producing entropy.


Energy current in heating and cooling (conductive transfer of entropy).



Section 3.3
Measuring Temperature


Resistivity of a conductor as a (quadratic) function of temperature.




Equation of state of the ideal gas.

Section 3.4
Temperature-Entropy Characteristic of Simple Materials


Specific entropy (entropy per mass).


Warming factor.


Temperature-entropy relation for constant warming factor.


Specific entropy capacitance.


Specific energy capacitance (specific temperature coefficient of energy).




Entropy-Temperature relation and energy-temperature relation for material having constant enery capacitance.

Section 3.5
Entropy and Energy Transfer in Heating and Cooling


Entropy current in overall entropy transfer (through a series of layers characterized by an overall entropy conductance GS).


Entropy current in overall entropy transfer (overall entropy transfer coefficient hS = conductance per surface area).


Energy current in overall entropy transfer (GW: overall energy conductance)


Energy flow resistance.


Total energy flow resistance for resistors in series.


Energy flow resistance for conductive layer (thermal (energy) conductivity lambda)


Energy flow resistance for convective layer (convective heat (energy) transfer coefficient).


Entropy production rate for overall entropy transfer.




Balance of entropy for resistive element (treated as a junction or node).

Section 3.6
Heat Engines and Heat Transfer


Thermal efficiency of ideal Carnot heat engine (first law efficiency)


Second law efficiency of ideal Carnot heat engine.


Coefficient of performance of ideal Carnot heat pump.


Irreversibility of heat engine.




Thermal efficiency of Curzon-Ahlborn engine.

Section 3.7
Melting and Vaporization: Entropy and Phase Change


Balance of entropy for phase transition (reversible).


Balance of energy for material undergoing phase transition.


Balances of amounts of substance.


Rate of change of entropy of material undergoing phase change (lambda_m: latent entropy of phase change)




Energy current in heating or cooling during phase change.