MMAN2700 Chapter Notes - Chapter 5: Vorticity, Incompressible Flow, Isentropic Process

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Bernoulli"s equation is one of the most fundamental equations in fluid mechanics. It is an approximate relation between a fluid"s pressure, velocity and elevation and is only valid in regions of steady, incompressible flow, where friction forces are negligible. Care must be taken in applying bernoulli"s equation, as it is only an approximate value and can only be applied in regions outside of boundary layers and wakes. Simply speaking, the bernouli equation is given as: V = velocity (m/s) g = acceleration due to gravity (ms-2) z = elevation (m) The derivation is added here in full even though it will never be examined, however explaining parts of it may be". Consider a fluid particle in a flow field undergoing steady flow. The forces acting on this particle along a streamline can be combined under newton"s second law (in the s direction).

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