At the right is shown a pipe with a uniform circular cross section carrying a fluid at a steady flow. The piece of the pipe we are considering has a length, L, and a cross sectional area, A. The fluid is flowing at a rate of Q. The pressure at the beginning of the segment is p1, and at the end of the segment is p2. The fluid has a viscosity, . Starting with the original pipe, if the pressures are maintained at the same values at the ends of the pipe segment but the pipe is replaced by a narrower one (smaller radius), what do you expect will happen to Q, the rate of flow through the pipe?