# HW_C1 - Homework Set#1 Due date by 11:00 am Problem#1...

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Unformatted text preview: Homework Set #1: Due date: 09/15/06, by 11:00 am. Problem #1: Consider a spherical particle falling freely in a large fluid body. It is found experimentally that the terminal settling velocity u of the particle is dependent on: (1) particle diameter d ; (2) the buoyant weight of the particle W (the difference between the gravity and buoyant forces acting on the particle); (3) fluid density ρ , and (4) fluid viscosity, μ . It is assumed that the velocity u can be mathematically expressed as products of powers of the above variables. Obtain the relationship for u using dimensional analysis. Suggestion : solving the set of linear equations in terms of the exponent of W. Problem #2: The Kelco Oil Field Group, Inc., has published the following data for two fluids, their XanvisTM drilling fluid and HEC polymer: dv x /dy (s-1 ) 1022 511 340 170 10.2 5.1 1.0 0.1 XanvisTM product µ eff (cp) 12 20 26 42 410 740 4650 23500 HEC polymer µ eff (cp) 65 100 130 200 950 1250 3500 5900 For both fluids, attempt to fit these data to both the Bingham and power-law models. For both fluids, attempt to fit these data to both the Bingham and power-law models....
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HW_C1 - Homework Set#1 Due date by 11:00 am Problem#1...

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