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Finally, using the definition of t and Form D of the First Law [I.C.12], we can construct a Conservative Form of the First Law of Thermodynamics, tt + (tv) = 0, [Equation I.C.14] which may replace the adiabatic form of the First Law in our set of principal governing equations.
conservation of energy, first law of thermodynamics, law of conservation of energy - the fundamental principle of physics that the total energy of an isolated system is constant despite internal changes.