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Grade 11Mechanics

Using dimensional method obtain, Stoke’s law expression for viscous force F = 6 pie nita a v

Profile image of Vaibhav shukla
8 Years agoGrade 11
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Profile image of Arun
8 Years ago

Suppose a spherical body of radius r moves at a speed v through a fluid of viscosity ?. The viscous force Facting on the body is given by,

F = 6 (pi)(etal r v

 

Actual derivation of Stokes’s viscous drag theorem from definition of viscosity is beyond the scope of XII physics however following is a proof based upon dimensional analysis.

Given k = 6?

Viscous force on a small spherical ball of radius r moving with a velocity v in an infinite sea of liquid of viscosity ? is found to be dependent on r, v and ?.