MMAN2700 Chapter Notes - Chapter 10: Mass Flow Rate, Momentum
10 Nov 2020
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The linear momentum equation is a simple yet effective equation that relates the forces acting on a fluid to its velocity and mass flow rate. It can be used in situations where bernoulli"s equation cannot since bernoulli"s equation is essentially conservation of energy and so does not take into account external forces, while linear momentum does. The linear momentum equation is essentially newton"s second law rewritten. Where: m = mass (kg) v = velocity (m/s) Since the density and velocity may change over the fluid volume, it can be rewritten as: That is, the sum of all the forces acting on a fluid equals to the time rate of change of the fluids density, volume and velocity. under steady flow (constant density) and a controlled volume, the equation collapses to: It is important to note that both f and v are vectors and should therefore be treated as such in the mathematics here.
