Fluid mechanics problems and solutions

When you try to solve problems of Physics in general and of fluid mechanics in particular, it is important to follow a certain order. Try to be organized when you solve these problems, and you will see how it gives good results. It is worth spending a bit of time on the analysis of a problem before tackling it.

Most of the solved fluid mechanics problems shown on the following pages are applications of these three equations: the Archimedes’ principle, the continuity equation and the Bernoulli’s equation. We will consider the fluid incompressible in all these problems, and if in motion, that the flow is laminar and stationary.

When solving a fluid mechanics problem, follow these steps:

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  • Read carefully the problem statement.
  • Draw a picture of the physical situation described in the problem.
  • Write in your notebook the givens in the problem statement.
  • Identify if the problem describes a static or dynamic situation.
  • Determine the equations you will need to solve the problem.
  • Do not forget to include the units in your results.
  • Review the problem and check that the results you have obtained make sense.

On the following pages you will find some fluid mechanics problems with solutions. Try to do them before looking at the solution.

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