Leonard Euler

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But ds dt u Then, ρu rate of change of momentum The resultant force must equal the rate of change of momentum of the particle, or from Equation (2.59) and Equation (2.61): ∂P ∂s ρu ∂u ∂s ρg ∂z ∂s 0 (2.62) This equation is also called the Euler equation of motion. If we multiply both sides by ds, we get ∂P ds ∂s ρu ∂u ds ∂s ρg ∂z ds ∂s 0 (2.63) 2.4 Force Balance on a Fluid Element Flowing in a Pipe—Derivation of Bernoulli Equation 103 The first term in Equation (2.63)…

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