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1.The fundamental law governing all heat transfer is the first law of thermodynamics, commonly referred to as the principle of conservation of energy. However, internal energy, U, is a rather inconvenient quantity to measure and use in simulations. Therefore, the basic law is usually rewritten in terms of temperature, T.

2.In deriving Equation 2-1, a number of thermodynamic relations have been used. The equation also assumes that mass is always conserved, which means that density and velocity must be related through:£¨ÏÂÃæÊÇÒ»¸ö·½³Ì£©

3.The third term represents pressure work and is responsible for the heating of a fluid under adiabatic compression and for some thermo-acoustic effects. It is generally small for low Mach number flows. A similar term can be included to account for thermo-elastic effects in solids.

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