Find a friction factor-newton-raphson method, Chemical Engineering

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Colebrook equation is used to find a friction factor, f, in a pipe flow as given by:

where ? and Re are the roughness ratio and Reynolds number respectively. Considering air flow through a pipe with a diameter of 0.005m, ?=0.0015 mm, and Re=13,743, compute the friction number using the Newton-Raphson method and the Matlab built-in function "fzero".

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