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- Thread starter Vaal
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Consider the nondimensional Navier-Stokes equations:

[tex]\frac{\partial u_i^{*}}{\partial t^{*}} + u_j^{*}\frac{\partial u_i^{*}}{\partial x_j^{*}} = -\frac{\partial p^{*}}{\partial x_i^{*}} + \frac{1}{\textrm{Re}}\frac{\partial^2 u_i^{*}}{\partial x_j^{*} \partial x_j^{*}}[/tex]

Stokes flow assumes that [itex]\textrm{Re} \ll 1[/itex], so the dissipation term, [itex]\frac{\partial^2 u_i^{*}}{\partial x_j^{*} \partial x_j^{*}}[/itex], will be an order of magnitude greater than the pressure term. In other words, the forces on the object in question are going to be dominated by viscosity with negligible contribution by pressure/density effects.

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Thanks for your help.

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