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Consider a long, thin cylindrical rod that is being slowly pulled through a pipe filled with a viscous, Newtonian fluid. The fluid moves within the

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Consider a long, thin cylindrical rod that is being slowly pulled through a pipe filled with a viscous, Newtonian fluid. The fluid moves within the pipe in the direction that the rod is being pulled. r ->Z Uzo KR R a. Starting from the Navier-Stokes equations, develop a velocity profile for the drag-induced flow of the fluid inside the pipe. b. Plot the reduced velocity profile (uz(r) / uzo) for the fluid inside the pipe. You will need to choose reasonable values for any important parameters

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