CE319F_S2019_Homework1 (1).docx - CE 319F Homework 1 Due...

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CE 319F Homework 1 Due: February 5 th at 4:00 pm Prof. Johnson Problem 1: 1.6 Henri Darcy, a French engineer, proposed that the pressure drop ∆ p for flow at velocity V through a tube of length L could be correlated in the form: If Darcy's formulation is consistent, what are the dimensions of the coefficient ? α Problem 2: 1.10 The Stokes-Oseen formula for drag force F on a sphere of diameter D in a fluid stream of low velocity V, density , ρ and viscosity µ is: Is this formula dimensionally homogeneous? Problem 3: 1.26 When we say a car's tire is filled “to 32 lb,” we mean that its internal pressure is 32 lbf/in 2 above the ambient atmosphere. If the tire is at sea level, has a volume of 3.0 ft 3 , and is at 75°F, estimate the total weight of air, in lbf, inside the tire. Problem 4: 1.33A tank contains 9 kg of CO 2 at 20°C and 2.0 MPa. Estimate the volume of the tank, in m 3 . Problem 5: 1.48 A thin plate is separated from two fixed plates by very viscous liquids µ 1 and µ 2 , respectively. The plate spacings h 1 and h 2 are unequal, as shown. The contact
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  • Fall '17
  • Force, Henri Darcy

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