Derive the reynolds number/ power number correlation starting with the drag coef

Question

Derive the reynolds number/ power number correlation starting with the drag coefficient for a flat plate. From that tell what is the relative difference in flat and pitched blades? What is the effect of blade width on power number? What is the effect of number of blades on power number? So far I have: P=FV ; F=0.5Cd*rho*V^2*A ; V=piND ; A=D^2 ; By substitution and droping pi: P=0.5Cd*rho*N^3*D^5 ; I am not sure how to get to : P=Np*rho*N^3*D^5 ; Also, how does the equation for Reynolds number fit into this: Re=rho*N*D^2/u

Explanation / Answer

Drag Coefficient = 24 / Reynold's Number ... I won't go into the derivation of these formula; I figure if you want to look for them, that's a project you ... The following is a diagram of the correlation between Reynold's Number and Drag Coefficient for Rigid Spherical Bodies. ... Psi = 1

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