Bernoulli’s Equation:



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The relationship between fluid speed, pressure and elevation for the flow of an ideal fluid through a non-uniform pipe is called Bernoulli’s Equation. For a non-uniform pipe as shown below the equation can be written as follows:

Thus, we can generalize this as follows:

This expression specifies that, in laminar flow, the sum of the pressure (P), kinetic energy per unit volume (0.5ρv2) and gravitational potential energy per unit volume (ρgy) has the same value at all points along a streamline.