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Consider the flow through a circular conduit of radius R . By what fraction is the flow rate for a given pressure drop reduced if

Consider the flow through a circular conduit of radius R

.

By what fraction is the flow rate for a given pressure drop reduced if we place a wire of radius

R

at the centerline. Solve the problem for all

,

but calculate the actual fraction for

= 0.1 .

The answer may surprise you.

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