Question

# What criteria can you use to determine whether an approximation of the Navier-Stokes equation is appropriate or not? Explain.

Solution

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Answered 2 years ago
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The most commonly used criteria to determine an appropriate approximation model is analyzing the regions of our flow and fractioning our flow in the different types of regions. We have given some general types of flow and approximation, but each approximation 'neglect' some part of the equation.

At the end, if we want to be sure that we made a good decision when we were picking the appropriate type of flow, we can check out the numbers that we neglected at the beginning and compare their relative magnitude over the 'main' numbers that are dominant. If we get that the relative magnitude of the numbers which were neglected are not so smaller than the magnitude of dominant numbers then we can say that we made a wrong decision and picked a wrong approximation.

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