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The drag force from sphere in laminar flow is known to depend on its diameter D, velocity of flow v, density of fluid of p and coefficient ov viscosity u obtain an expression for fd
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teamques10
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Drag force fD=f(D,V,P,$\mu)$
fD=$k-D^{a}.V^{b}.P^{c}.\mu^{d}$
substituting the dimensions on both sides
$MLT^{2}=k(L)^{a}.(LT^{-1})^{b}.(ML^{-2})^{c}.(ML^{-1}T^{-1})^{d}$
on equating the dimensions on both sides
Power of M:1=c+d
Power of L:=1=a+b-3c-d
Power of T=-2=-b-d
We have only three equation whereas we have unknowns therefore the values of the power abcd cannot be determined out of these any …
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