How Is Stoke's Drag Formula Derived Beyond Dimensional Analysis?

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SUMMARY

The derivation of Stokes' drag formula, F = 6πηrv, is primarily based on the principles of fluid dynamics rather than solely on dimensional analysis. The formula describes the drag force experienced by a sphere moving through a viscous fluid, where η represents the dynamic viscosity, r is the radius of the sphere, and v is the velocity of the sphere. Understanding the complete derivation involves applying the Navier-Stokes equations and considering the boundary conditions relevant to laminar flow around a sphere.

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  • Fluid dynamics principles
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  • Laminar flow characteristics
  • Dynamic viscosity concepts
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ThinkerCorny
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I was looking for the derivation of stoke's drag
F=6πηrv
But I'm only getting the derivation by dimensional analysis.
Can anyone please provide it's real derivation?
I'll really appreciate it.
 
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ThinkerCorny said:
I was looking for the derivation of stoke's drag
F=6πηrv
But I'm only getting the derivation by dimensional analysis.
Can anyone please provide it's real derivation?
I'll really appreciate it.
You mean e.g. this one ? (I googled 'stokes drag derivation' and this was on top).
 

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