The three tanks shown in the figure below are connected by new cast iron pipes (ɛ = 0.26 mm). The diameter and length of each pipe are stated in the figure below. The flowrate in channel 1 is 50 m/s. Determine the flowrate in pipes 2 and 3 and the required pump power. Neglect minor losses. Elevation = 0 m Elevation = 200 m (Datum) Dia = 0.8 m Pump Dia = 1.0 m L = 500 m L = 200 m (2) Elevation = 150 m (1) Dia = 1.2 m L= 300 m Clearly show your work and explain the setup of the Bernoulli equation and conservation of mass. State the solution of the pump power and flowrates in pipes 2 and 3 clearly.

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Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.