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derive stokes law by densional analysis |
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Answer» Suppose a spherical body of radius r moves at speed v through a fluid of viscosityƞ,viscous force F acting on the body depends on r,v andƞ.According to the dimensional analysis we can write, Let F =kravbƞc Where k is the dimensional less constant. MLT-2=kLa(LT-1)b(ML-1T-1)c On equating the coefficients of M,L,T on both sides we get :a,b,c each = 1hence F =krvƞ,value of k =6π,hence stokes law becomes, F =6πƞrv This is the required stokes law |
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