Question

Problem 4. An approximately spherical particle with a diameter of 0.5 mm and a specific gravity of 2.5 is released in water with a temperature of 25 °C (density = 997 kg/m3 , dynamic viscosity = 0.890 x 10-3 kgm-1 s -1 ). How far does the particle to travel in 3 s? [Hint: to solve this problem, initially assume laminar flow and use Stoke’s law to estimate the settling velocity of the particle. Then check the Reynolds number. If it is out of the laminar range, use the Stoke’s law estimate and Reynolds number as your initial estimates in solving the problem iteratively using Newton’s law. Perform your iterative solution with Newton’s law using Excel, either “by hand,” or using the iterative calculation function, and attach your spreadsheet).

Note: There are several other good examples and problems for you to practice these concepts in your textbook's Chapter 4 (e.g., heat energy problem 4-19; particle settling problems 4-22, 4-24,

Answer #1

Viruses are much smaller than bacteria. For example, the novel
coronavirus is a spherical particle of outer diameter 110 nm, while
streptococcus bacteria are 1.6 ?μm in diameter. The virus
is also found to be slightly more dense than the bacteria, with the
density of coronavirus being 1.15 kg/L and that of strep
being 1.1 kg/L. During an infection, both are found in the
bloodstream (blood density is 1.05 kg/L; blood viscosity is
3.5××10−3−3 Pa⋅⋅s).
(a) A sample of blood...

Viruses are much smaller than bacteria. For example, the novel
coronavirus is a spherical particle of outer diameter 120 nm, while
streptococcus bacteria are 1.8 μμm in diameter. The virus
is also found to be slightly more dense than the bacteria, with the
density of coronavirus being 1.15 kg/L and that of strep
being 1.1 kg/L. During an infection, both are found in the
bloodstream (blood density is 1.05 kg/L; blood viscosity is
3.5×10-3 Pa⋅s).
(a) A sample of blood...

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