A filter may be idealized as an array of cylindrical fibers normal to the flow, as in Fig. P7.61. Assuming that the fibers are uniformly distributed and have drag coefficients given by Fig 7.16a, derive an approximate expression for the pressure drop Δp through a filter of thickness L.

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Filter section 000 o900O o Ρ+Δρ |0 0 0 0 0 0 0 0 0 0 O0O O O O o O OO O