More Complex Problems Involving Bernoullis Equation

12 MORE COMPLEX PROBLEMS INVOLVING BERNOULLI S EQUATION 

Now that we can evaluate all the terms in Bernoulli s equation, we may consider some of the more interesting types of problem which this equation can be used to solve. 

Example 6.15. A large, high-pressure chemical reactor contains water at a pressure of 20001bf/in A 3-in schedule 80 line connecting to it ruptures at a point 10 ft from the reactor. What is the flow rate through this break  

This is an unsteady-state problem because the reactor pressure will fall during the outflow. However, if the reactor is large, the unsteady-state contribution can be neglected, and we do so here. 

Applying Bernoulli s equation from the free liquid surface in the reactor to the exit of th pipe, we neglect the potential-energy terms, which are negligible, and the small velocity at the free surface. The remaining terms are 

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