Bernoulli’s equation, Equation (3.13), (3.14), or (3.15), was derived in Chapter 3 from Newton’s second law; it is fundamentally a statement that force = mass × acceleration. However, the terms in Bernoulli’s equation have dimensions of energy per unit volume (check it out), which prompt some argument that Bernoulli’s equation is an energy equation for incompressible flow. If this is so, then it should be derivable from the energy equation for compressible flow discussed in the present chapter. Starting with Equation (7.53) for inviscid, adiabatic compressible flow, make the appropriate assumptions for an incompressible flow and see what you need to do to obtain Bernoulli’s equation.

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or or CP2 f" dp = -p fr" v av V PI (2-2) P₁ + ½ pV² = P₂ + ½ pV2 P2P1-P (3.13)