In this chapter, the precise teaching of thermodynamics has been emphasized since these topics are used in other fields of science and technology. The textbooks must be correct giving the precise description of systems, equations, and conclusions. Otherwise the students learn the wrong information and apply it in the same fashion. It has also been shown that methodologies exist for physical interpretation of mathematical expressions in thermodynamics by eliminating nonmea-surable quantities such as entropy, designing thermodynamic experiments, and investigating various applications in other fields of science and technology that use thermodynamic principles. The emphasis has been on correct and precise work, a quality that we must impose on our students. This type of instruction would ultimately affect students who are aware of the nature, the effect of everyday usage of energy on the environment, and what needs to be done within the restrictions of nature to be sustainable at least at the levels that we enjoy today. Of course, these must be done in all aspects of education not only in the education of engineers, in general, and thermodynamics education, in particular. Success in this will make life better now and forever.

The previous pages have emphasized undergraduate work. It is indeed very important to extend this into statistical and non-equilibrium thermodynamics for graduate students. The challenges of energy use, pollution, and sustainability all depend on clear, precise, and correct study of these and appropriate applications. It can and should be pursued very aggressively throughout.


The view expressed herein are those of the author and do not purport to reflect the position of the Unites States Military Academy, the Department of the Army, or the Department of Defense.


B Any extensive thermodynamic property b Any intensive thermodynamic property, b=Blm c Specific heat (kJ/(kg-K) ); also speed of sound (m/s)

e specific energy (kJ/kg)

F Helmholtz potential (kJ)

G Gibbs free energy (kJ)

H Enthalpy (kJ)

h Specific enthalpy (kJ/kg)

k Ratio of specific heats, k=(cp/cv)

M Molecular mass (kmol); also arbitrary function m Mass (kg)

N Arbitrary function n Unit vector p Pressure (kPa)

T Temperature (K)

U Internal energy (kJ)

u Specific internal energy (kJ/kg)

v Specific volume (m3/kg)

X Arbitrary function

V Arbitrary function

Z Arbitrary function; also compressibility factor (-)

z Elevation (m)

Greek symbols a Coefficient of thermal expansion (1/K)

ß Coefficient of performance for a refrigerator y Coefficient of performance for a heat pump

A Difference

ö Increment q Efficiency for an engine

kt Isothermal compressibility (1/kPa)

^ Joule-Thomson coefficient (K/kPa)

4 Arbitrary thermodynamics property p Density (kg/m3)

a Entropy generation (kJ/K)

Subscripts g

CE CV f fg

Engine Carnot engine Control volume Liquid phase

Phase change from liquid to vapor Vapor phase

High p o v

Low Volume Pressure Atmospheric


Arnas, AÖ (2000) On the Physical Interpretation of the Mathematics of Thermodynamics. International Journal of Thermal Sciences 39: 551-555.

Arnas, AÖ (2005) Education, Energy, Exergy, Environment - Teaching Teachers to Teach Thermodynamics, Proceedings, Second International Exergy, Energy and Environment Sysmposium-IEEES2, Kos, Greece, #167.

Arnas, AÖ, Hendrikson, HAM, van Koppen, CWJ (1980) Thermodynamic Explanation of Some Numerical Difficulties in Multiphase Flow Analyses, Proceedings, European Two-Phase Flow Group Meeting, Glasgow, Scotland, F4.

Arnas, AÖ, Boettner, DD, Bailey, MB (2003) On the Sign Convention in Thermodynam-ics-An Asset or an Evil, Proceedings, ASME-IMECE2003, IMECE2003-41048. Also, Boettner, DD, Bailey, MB, Arnas, AÖ (2006) On the Consistent Use of Sign Convention in Thermodynamics, International Journal of Mechanical Engineering Education 34/4: 330-348. Arnas, AÖ, Boettner, DD, Benson, MJ, van Poppel, BP (2004) On the Teaching of Condensation Heat Transfer, Proceedings, ASME-IMECE2004, IMECE2004-50277. Callen, HB (1960) Thermodynamics, Wiley.

£engel, YA, Boles, ME (2008) Thermodynamics-An Engineering Approach, 6th Edition, McGraw-Hill.

Chawla, TC (1978) On Equivalency of the Various Expressions for Speed of Wave Propagation for Compressible Liquid Flows with Heat Transfer, International Journal of Heat and Mass Transfer 21: 1431-1435.

Mooney, DA (1953) Mechanical Engineering Thermodynamics, Prentice-Hall. Obert, EF (1960) Concepts of Thermodynamics, Wiley.

Somerton , CW, Arnas, AÖ (1985) On the Use of Jacobians to Reduce Thermodynamic Derivatives, International Journal of Mechanical Engineering Education 13-1: 9-18. Zemansky, MW (1943) Heat and Thermodynamics, Wiley.

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