In a fluid there are two dominating effects, one is inertia and the other is friction. In the end most of the rest is just math that likely exceeds their current state of knowledge.įluid flow: smooth or eddies? - Reynolds number If they follow you until my explanation starts to introduce the Navier-Stokes equations that is already perfectly fine. I think the most interesting part is understand how this is done and not precisely every single step in detail. Finding the stress distribution for a flow field analytically poses the biggest challenge and so far has only been shown for very low Reynolds number flow, where friction dominates, and the most symmetric of all shapes in 3D, a simple sphere. Theoretically if you know the flow field this approach can be used to determine resulting forces on any structure. I would try to make them understand that the Stokes’ formula basically comes from integrating the stresses along the contour of a sphere. I have not much idea about their background but I would structure my explanation as follows: I would try to explain them the context and leave the mathematical formulas to the interested students. I don’t even think it is possible to derive it in a easier manner: For Stokes’ formula it is necessary to find expressions for pressure and viscous friction that to my knowledge can only be deducted from the Stokes’ equation and summing up their contribution to their drag force by integration.
As already stated I am not familiar with a simpler way than the standard derivation.
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