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Drag measurements were taken for a 5 cm diameter sphere in water at 20 °C to...

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Mechanical Engineering

Drag measurements were taken for a 5 cm diameter sphere in waterat 20 °C to predict the drag force of a 1 m diameter balloon risingin air with standard temperature and pressure. Given kinematicviscosity of water (v) = 1.0 X 10-6m2/s and kinematic viscosity of air (v) = 1.46X 10-5 m2/s.

  1. Perform the Buckingham Pi theorem to generate a relationshipfor FD as a function of the independent variables.Assume the drag FD is a function of diameter (d),velocity (V), fluid density (ρ) and kinematic viscosity(v)

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